Main Lecturers:
 Dorit Aharonov, The Hebrew University of Jerusalem
 Horacio Casini, Centro Atomico Bariloche
 Daniel Gottesman, Perimeter Institute
 Daniel Harlow, Harvard University
 Thomas Hartman, Cornell University
 Patrick Hayden, Stanford University
 Veronika Hubeny, University of Califonia, Davis
 Stephen Jordan, National Institute of Standards and Technology
 Mukund Rangamani, University of Califonia, Davis
 Robert Spekkens, Perimeter Institute
 Douglas Stanford, Institute for Advanced Study
 Guifre Vidal, Perimeter Institute
 John Watrous, University of Waterloo & IQC
Focus Lecturers:
 Alice Bernamonti, Perimeter Institute
 Adam Bouland, Massachusetts Institute of Technology
 Xi Dong, Institute for Advanced Study
 Markus Hauru, Perimeter Institute
 Adrian Kent, Cambridge University
 Isaac Kim, IBM
 David Kubiznak, Perimeter Institute
 Mark Mezei, Princeton University
 Markus Mueller, Perimeter Institute & University of Western Ontario
 Jonathan Oppenheim, University College London
 Fernando Pastawski, California Institute of Technology
 Daniel Roberts, Massachusetts Institute of Technology
 Michael Walter, Stanford University
 Beni Yoshida, Perimeter Institute
 Scott Aaronson, Massachusetts Institute of Technology
 Aysha AbdelAziz, Stanford University
 Nima AfkhamiJeddi, Cornell University
 Cesar Agon, Brandeis University
 Dorit Aharonov, The Hebrew University of Jerusalem
 Aida Ahmadzadegan, University of Waterloo & Macquarie University
 Alvaro Alhambra, University College London
 Tibra Ali, Perimeter Institute
 Natacha Altamirano, Perimeter Institute
 Valentina Baccetti, Macquarie University
 Andrey Bagrov, Radboud University
 Vijay Balasubramanian, University of Pennsylvania
 Ning Bao, California Institute of Technology
 Matt Beach, University of British Columbia
 Alice Bernamonti, Perimeter Institute
 Adam Bouland, Massachusetts Institute of Technology
 Fernando Brandao, California Institute of Technology
 Daniel Brod, Perimeter Institute
 Pablo Bueno, KU Leuven
 Nele Callebaut, Columbia University
 Joan Camps. University of Cambridge
 Pawel Caputa, NORDITA
 John Cardy, University of California, Berkeley
 Dean Carmi, Perimeter Institute
 Horacio Casini, Centro Atomico Bariloche
 Christopher Chamberland, Institute for Quantum Computing
 Shira Chapman, Perimeter Institute
 Wissam Chemissany, Leibniz University of Hannover
 LinQing Chen, Perimeter Institute
 Christina Cirstoiu, Imperial College London
 Joshua Combes, Perimeter Institute
 Jordan Cotler, Stanford University
 Matthew Coudron, Massachusetts Institute of Technology
 Jason Crann, University of Waterloo
 Shawn Cui, University of California, Santa Barbara
 Timothy de Jonckhere, Free University of Brussels
 Clement Delcamp, Perimeter Institute
 Anton de la Fuente, University of Maryland
 Lidia Del Rio, University of Bristol
 Giuseppe Di Molfetta, IFIC  Universitat de Valencia
 Dawei Ding, Stanford University
 Xi Dong, Institute for Advanced Study
 Netta Engelhardt, University of California, Santa Barbara
 Zachary Fisher, Univeristy of California, Berkeley
 Adrian FrancoRubio, Perimeter Institute
 Zicao Fu, University of California, Santa Barbara
 Cohl Furey, Cambridge University
 Damian Galante, Perimeter Institute
 Federico Galli, Perimeter Institute
 Simon Gentle, University of California, Los Angeles
 Hrant Gharibyan, Stanford University
 Yan Gobeil, McGill University
 Can Gokler, Harvard University
 Daniel Gottesman, Perimeter Institute
 Brianna GradoWhite, University of California, Santa Barbara
 Stephen Green, Perimeter Institute
 Tarun Grover, Kavli Institute for Theoretical Physics
 Felix Haehl, Durham University
 Daniel Harlow, Harvard University
 Thomas Hartman, Cornell University
 Markus Hauru, Perimeter Institute
 Patrick Hayden, Stanford University
 Matthew Headrick, Brandeis University
 Ashwin Hedge, University of California, Los Angeles
 Michal Heller, Perimeter Institute
 Eliot Hijano, University of California, Los Angeles
 Philipp Hoehn, Institute for Quantum Optics and Quantum Information
 Timothy Hsieh, Kavali Institute for Theoretical Phyics
 Qi Hu, Perimeter Institute
 KuoWei Huang, Stony Brook University
 Veronika Hubeny, University of Califonia, Davis
 Ling Yan Hung, Fudan University
 Nick HunterJones, California Institute of Technology
 Ali Izadi Rad, University of British Columbia
 Ted Jacobson, University of Maryland
 Robert Jefferson, University of Amsterdam
 Tomas JochymO'Connor, University of Waterloo
 Robert Jonsson, University of Waterloo
 Stephen Jordan, National Institute of Standards and Technology
 Philipp Kammerlander, ETH Zurich
 Daniel Kapec, Harvard University
 Arjun Kar, University of Pennsylvania
 Adrian Kent, University of Cambridge
 Isaac Kim, IBM
 Jason Koeller, Univeristy of California, Berkeley
 Dax Koh, Massachusetts Institute of Technology
 Ryszard Kostecki, Perimeter Institute,
 Shauna Kravac, University of California, San Diego
 Marius Krumm, University of Western Ontario
 Aleksander Kubica, California Institute of Technology
 David Kubiznak, Perimeter Institute
 Lampros Lamprou, Stanford University
 Hun Hee Lee, Seoul National University
 Jaehoon Lee, University of British Columbia
 Debbie Leung, University of Waterloo & IQC
 Aitor Lewkowycz, Princeton University
 Jie Lin, University of Waterloo
 ZiWen Liu, Massachusetts Institute of Technology
 Simon Loewe, Cornell University
 Matteo Lostaglio, Imperial College London
 Javier Martinez Magan, Utrecht University
 Raghu Mahajan, Stanford University
 Juan Maldacena, Institute for Advanced Study
 Alexander Maloney, McGill University
 Ipsita Mandal, Perimeter Institute
 Donald Marolf, University of California, Santa Barbara
 Henry Maxfield, McGill University
 Alex May, University of British Columbia
 Sam McCandlish, Stanford University
 Lauren McGough, Princeton University
 Marco Meineri, Perimeter Institute
 Mark Mezei, Princeton University
 Benjamin Michel, University ofo Califronia, Santa Barbara
 Ashley Milsted, Perimeter Institute
 Eric Mintun, University of California, Santa Barbara
 Masamichi Miyaji, Kyoto University
 Markus Mueller, Perimeter Institute & University of Western Ontario
 Robert Myers, Perimeter Institute
 Anand Natarajan, Massachusetts Institute of Technology
 Gim Seng Ng, McGill University
 Yuezhen Niu, Massachusetts Institute of Technology
 Masahiro Nozaki, University of Chicago
 Hirosi Ooguri, California Institute of Technology
 Jonathan Oppenheim, University College London
 Maria Papageorgiou, Perimeter Institute
 Onkar Parrikar, University of Illinois
 Fernando Pastawski, California Institute of Technology
 Geoffrey Penington, Stanford University
 Natalia Pinzani Fokeeva, Israel Institute of Technology
 Roji Pius, Perimeter Institute
 Nicholas Pomata, Stony Brook University
 Diego Pontello, Centro Atómico Bariloche
 John Preskill, California Institute of Technology
 Xiaoliang Qi, Stanford University
 Charles Rabideau, Univesity of British Columbia
 Djordje Radicevic, Stanford University
 Mukund Rangamani, University of Califonia, Davis
 Pratik Rath, Perimeter Institute
 Renato Renner, ETH Zurich
 Jess Riedel, Perimeter Institute
 Julian Rincon, Perimeter Institute
 Daniel Roberts, Massachusetts Institute of Technology
 Massimiliano (Max) Rota, Durham University
 Philip Saad, Stanford University
 Subir Sachdev, Harvard University
 Grant Salton, Stanford University
 Fabio Sanches, University of California, Berkeley
 Krishan Saraswat, University of British Columbia
 Gabor Sarosi, Budapest University of Technology and Economics
 Volkher Scholz, Ghent University
 Stephen Shenker, Stanford University
 Ralph Silva, University of Geneva
 SangJin Sin, Hanyang University
 Alexander Smith, University of Waterloo & Macquarie University
 Robert Spekkens, Perimeter Institute
 Antony Speranza, University of Maryland
 Douglas Stanford, Institute for Advanced Study
 Josephine Suh, University of British Columbia
 Brian Swingle, Stanford University
 Tadashi Takayanagi, Kyoto University
 Eduardo Teste Lino, Centro Atomico Bariloche / Balseiro Institute
 Gonzalo Torroba, Centro Atómico Bariloche
 Yonathan Touati, The Hebrew University of Jerusalem
 Ioannis Tsiares, McGill University
 Mark van Raamsdonk, University of British Columbia
 Guillaume VerdonAkzam, University of Waterloo
 Ruben Verresen, Max Planck Institute for the Physics of Complex Systems
 Guifre Vidal, Perimeter Institute
 Michael Walter, Stanford University
 Chenjie Wang, Perimeter Institute
 Jian Wang, University of Michigan
 Tian Wang, California Institute of Technology
 Yihong Wanng, Stonybrook University
 Kento Watanbe, Yukawa Institute for Theoretical Physics
 John Watrous, University of Waterloo & Institute for Quantum Computing
 Silke Weinfurtner, University of Nottingham
 Jason Wien, University of California, Santa Barbara
 Shai Wyborski, The Hebrew University of Jerusalem
 Shuo Yang, Perimeter Institute
 Zhao Yang, Stanford University
 Beni Yoshida, Perimeter Institute
 Henry Yuen, Massachusetts Institute of Technology
 Ying Zhao, Stanford University
 Yechao (Elton) Zhu, Massachusetts Institute of Technology
 Claire Zukowski, Columbia University
 Monday, July 18
 Tuesday, July 19
 Wednesday, July 20
 Thursday, July 21
 Friday, July 22
 Saturday, July 23
 Sunday, July 24
 Monday, July 25
 Tuesday, July 26
 Wednesday, July 27
 Thursday, July 28
 Friday, July 29
Time

Event

Location

8:30 – 9:00am

Registration

Reception

9:00 – 9:10am

Welcome and Opening Remarks

Theater/Bob

9:10 – 10:30am

Patrick Hayden, Stanford University QI Basics

Theater

9:10 – 10:30am

Veronika Hubeny, University of California, Davis Gravity Basics

Bob Room

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Rob Spekkens, Perimeter Institute Entanglement

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

4:30pm – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

David Kubiznak, Perimeter Institute GR: Actions and Equations (Focus Lecture for Gravity Basics Course)

Alice Room

5:00 – 6:00pm

Adrian Kent, Cambridge University Bell’s Theorem (Focus Lecture for Entanglement Course)

Bob Room

5:00 – 6:00pm

Matthew Headrick, Brandeis University A new perspective on holographic entanglement

Theater

Time

Event

Location

9:00 – 10:30am

John Watrous, University of Waterloo QI Basics

Theater

9:00 – 10:30am

Thomas Hartman, Cornell University QFT Basics

Bob Room

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Rob Spekkens, Perimeter Institute Entanglement

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Patrick Hayden, Stanford University Adrian Kent, Cambridge University Quantum Information in Spacetime

Theater

4:00  4:30pm 
Bianca Dittrich, Perimeter Institute Entanglement Entropy in nonAbelian Gauge Theories

Bob Room 
4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

Mark Mezei, Princeton University QFT in Rindler Space (Focus Lecture for QFT Basics Course)

Alice Room

5:00 – 6:00pm

Fernando Pastawski, California Institute of Technology Grover’s Algorithm (Focus Lecture for QI Basics Course)

Bob Room

5:00 – 6:00pm

Hirosi Ooguri, California Institute of Technology Gravitational Positive Energy Theorems from Information Inequalities

Theater

Time

Event

Location

9:00 – 10:30am

Daniel Gottesman, Perimeter Institute Quantum Error Correction

Theater

9:00 – 10:30am

Veronika Hubeny, University of California, Davis Gravity Basics

Bob Room

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Horacio Casini, Centro Atomico Bariloche Entanglement in QFT

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Thomas Harrtman, Cornell University Mark van Raamsdonk, University of British Columbia Constraints on Entanglement Dynamics

Theater

4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

David Kubiznak, Perimeter Institute Black Hole Thermodynamics (Focus Lecture for Gravity Basics Course)

Alice Room

5:00 – 6:00pm

Jonathan Oppenheim, University College London Quantum Thermodynamics (Focus Lecture for Entanglement Course)

Bob Room

5:00 – 6:00pm

Daniel Roberts, Massachusetts Institute of Technology Holographic complexity by design

Theater

Time

Event

Location

9:00 – 10:30am

Thomas Hartman, Cornell University QFT Basics

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Horacio Casini, Centro Atomico Bariloche Entanglement in QFT

Theater

12:30 – 2:30pm

Lunch

Atrium

1:00  2:00pm 
Daniel Harlow, Harvard University The RyuTakayanagi Formula from Quantum Error Correction 
Theater 
2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Scott Aaronson, Massachusetts Institute of Technology Daniel Roberts, Massachusetts Institute of Technology Complexity

Theater

4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

Mark Mezei, Princeton University A Calculation of EE in Free QFT (Focus Lecture for Entanglement in QFT Course)

Alice Room

5:00 – 6:00pm

Beni Yoshida, Perimeter Institute Subsystem Codes (Focus Lecture for QEC Course)

Bob Room

5:00 – 6:00pm

Fernando Brandao, California Institute of Technology Boundary States and Entanglement Spectrum from Strong Subadditivity

Theater

6:30  7:00pm 
Veronika Hubeny, University of California, Davis "Introduction to Ads Space" 
Bob Room 
7:30pm

Movie Night: Star Trek

Theater

Time

Event

Location

9:00 – 10:30am

Daniel Gottesman, Perimeter Institute Quantum Error Correction

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Mukund Rangamani, University of California, Davis AdS/CFT correspondence

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Michal Heller, Perimeter Institute Lampros Lamprou, Stanford University Sam McCandlish, Stanford University Kinematic Space

Theater

4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

Alice Bernamonti, Perimeter Institute Holographic Correlation Functions (Focus Lecture for AdS/CFT Course)

Alice Room

5:00 – 6:00pm

Isaac Kim, IBM Anyons and Topological Codes (Focus Lecture for QEC Course)

Bob Room

5:00 – 6:00pm

Netta Engelhardt, University of California, Santa Barbara Towards a Reconstruction of General Bulk Metrics

Theater

7:30pm

Movie Night: Star Trek: Into the Darkness

Theater

Time

Event

Location

9:00 – 10:30am

Stephen Jordan, National Institute of Standards and Technology Simulation of Quantum Hamiltonians

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Horacio Casini, Centro Atomico Bariloche Entanglement in QFT

Theater

Time

Event

Location

9:00 – 11:00am

Depart Perimeter Institute and Travel to Niagara Falls

Bus

11:00 – 1:00pm

Table Rock

Niagara Falls

1:00 – 1:30pm

Drive to NiagaraontheLake

Bus

1:30 – 3:00pm

Lunch at Trius

Vineyard

3:00 – 4:00pm

Tour of Vineyard

Vineyard

4:00pm

Depart for Waterloo

Bus

Time

Event

Location

9:00 – 10:30am

Stephen Jordan, National Institute of Standards and Technology Simulation of Quantum Hamiltonians

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Mukund Rangamani, University of California, Davis AdS/CFT correspondence

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Stephen Jordan, National Institute of Standards and Technology John Preskill, California Institute of Technology Quantum Simulations

Theater

4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

Xi Dong, Institute for Advanced Study A Primer on Bulk Reconstruction: Part 1 (Focus Lecture for AdS/CFT Course)

Alice Room

5:00 – 6:00pm

Adam Bouland, Massachusetts Institute of Technology Equivalence of Adiabatic and Circuit Based Quantum Computing (Focus Lecture for Simulation of SQH Course & Complexity Courses)

Bob Room

5:00 – 6:00pm

Douglas Stanford, Institute for Advanced Study The SachdevYeKitaev model and AdS2/CFT1

Theater

7:00 – 9:00pm

Gong Show

Theater

Please note room change for Workshop Discussion Session at 2:30
Time

Event

Location

9:00 – 10:30am

Patrick Hayden, Stanford University Quantum Shannon Theory

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Mukund Rangamani, University of California, Davis AdS/CFT correspondence

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Juan Maldacena, Institute for Advanced Study Stephen Shenker, Stanford University Chaos

Time Room

4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

Xi Dong, Institute for Advanced Study A Primer on Bulk Reconstruction: Part 2 (Focus Lecture for AdS/CFT Course)

Alice Room

5:00 – 6:00pm

Michael Walter, Stanford University Quantum Information and Symmetry (Focus Lecture for Quantum Shannon Theory Course)

Bob Room

5:00 – 6:00pm

Guifre Vidal, Perimeter Institute Tensor Networks for Quantum fFelds: Conformal Invariance and Emergent de Sitter Space

Theater

7:00 – 9:00pm

Gong Show

Theater

Time

Event

Location

9:00 – 10:30am

Guifre Vidal, Perimeter Institute Tensor Networks

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Daniel Harlow, Harvard University Black Hole Information Paradox

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Xi Dong, Institute for Advanced Study Aitor Lewkowycz, Princeton University, Beni Yoshida, Perimeter Institute Bulk Reconstruction

Theater

4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm

Dan Roberts, Massachusetts Institute of Technology Integrals over Unitary Matrices (Focus Lecture for BH Information Paradox Course)

Alice Room

5:00 – 6:00pm

Markus Hauru, Perimeter Institute MERA: A tensor network for scale invariant systems (Focus Lecture for Tensor Networks Course)

Bob Room

5:00 – 6:00pm

Renato Renner, ETH Zurich An Extension of the Wigner’s Friend Gedankenexperiment

Theater

6:30pm onwards

BBQ

Atrium

Time

Event

Location

9:00 – 10:30am

Dorit Aharonov, The Hebrew University of Jerusalem Quantum NP and the Complexity of Ground States

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Daniel Harlow, Harvard University Black Hole Information Paradox

Theater

12:30 – 2:30pm

Lunch

Atrium

2:30 – 4:30pm

Summer School Problem Solving

Bistro 2^{nd} Floor Space Room

2:30 – 4:30pm

Vijay Balasubramanian, University of Pennsylvania Xiaoliang Qi, Stanford University Brian Swingle, Stanford University Tensor Network Holography

Theater

4:30 – 5:00pm

Coffee Break

Bistro 1^{st} Floor

5:00 – 6:00pm 
Adam Bouland, Massachusetts Institute of Technology Why physicists should care about the complexity zoo (Focus Lecture for Complexity Course) 
Alice Room 
5:00 – 6:00pm

Markus Mueller, Western University/Perimeter Institute Eigenstate Thermalization Hypothesis (Focus Lecture for BH Information Paradox Course)

Bob Room

5:00 – 6:00pm

John Cardy, University of California, Berkeley Modular hamiltonians in 2d CFT

Theater

Time

Event

Location

9:00 – 10:30am

Stephen Shenker, Stanford University Quantum Gravity and Quantum Chaos

Theater

10:30 – 11:00am

Coffee Break

Bistro – 1^{st} Floor

11:00 – 12:30pm

Daniel Harlow, Harvard University Toy Holography

Theater

12:30 – 2:30pm

Lunch

Atrium

Fernando Brandao, California Institute of Technology
Boundary States and Entanglement Spectrum from Strong Subadditivity
In this talk I will consider quantum states satisfying an area law for entanglement (e.g. as found in quantum field theory or in condensed matter systems at sufficiently low temperature). I will show that both the boundary state and the entanglement spectrum admit a local description whenever there is no topological order. The proof is based on strong subadditivity of the von Neumann entropy. For topological systems, in turn, I'll show that the topological entanglement entropy quantifies exactly how many extra bits are needed in order to have a local description for the boundary state. This latter result is based on a recent strengthening of strong subadditivity.
Based on joint work with Kohtaro Kato (University of Washington)
John Cardy, University of California, Berkeley
Modular hamiltonians in 2d CFT
I enumerate the cases in 2d CFT when the modular hamiltonian (log of the reduced density matrix) may be written as an appropriate integral over the energymomentum tensor times a local weight. This includes known examples as well as new timedependent ones. In all these cases the entanglement spectrum is that of an appropriate boundary CFT. I point out the obstruction to the existence of such a result for more complicated bipartitions of the space. This is joint work with Erik Tonni.
Netta Engelhardt, University of California, Santa Barbara
Towards a Reconstruction of General Bulk Metrics
I will describe a procedure for reconstructing the metric of a general holographic spacetime (up to an overall conformal factor) from distinguished spatial slices  “lightcone cuts”  of the conformal boundary. This reconstruction can be applied to bulk points in causal contact with the boundary. I will also discuss a prescription for obtaining the lightcone cuts from divergences of correlators in the dual field theory.
Matthew Headrick, Brandeis University
A new perspective on holographic entanglement
The bynow classic RyuTakayanagi formula associates the entanglement entropy of a spatial region in a holographic field theory with the area of a certain minimal surface in the bulk. Despite its simplicity and beauty, this formula raises a number of stubborn conceptual problems. I will present a reformulation which does not involve the areas of surfaces. This reformulation leads to a picture of entanglement in the field theory being carried by Planckthickness "bit threads" in the bulk. I will argue that this picture helps to resolve a number of the conceptual difficulties surrounding the RT formula.
Renato Renner, ETH Zurich
An Extension of the Wigner’s Friend Gedankenexperiment
In this talk I consider the following principle that one may impose on any physical theory T:
"If an agent uses T to describe a system which includes another agent who herself uses T then no logical contradictions should arise.”
I then propose a gedankenexperiment, which can be regarded as an extension of the Wigner’s Friend experiment, to test whether this principle holds for quantum mechanics. The conclusion is that this is indeed the case for “plain" quantum theory, but that the principle is violated by many of its common interpretations and extensions.
Daniel Roberts, Massachusetts Institute of Technology
Holographic complexity by design
Douglas Stanford, Institute for Advanced Study
The SachdevYeKitaev model and AdS2/CFT1
The application of holography to fundamental problems in quantum gravity has been hindered by the lack of a solvable model. However, building on work by Sachdev and Ye, Kitaev has proposed a solvable QM system as a dual to an AdS2 black hole. I will discuss the model and its possible bulk interpretation.
Guifre Vidal, Perimeter Institute
Tensor Networks for Quantum Fields:
Conformal Invariance and Emergent de Sitter Space
The multiscale entanglement renormalization ansatz (MERA) is a tensor network that efficiently represents the ground state wavefunction of a lattice Hamiltonian. Similarly, its extension to the continuum, the continuous MERA [proposed by Haegeman, Osborne, Verschelde and Verstraete, Phys. Rev. Lett. 110, 100402 (2013), arXiv:1102.5524], aims to efficiently represent the vacuum state wavefunctional of a quantum field theory. In this talk I will first review MERA and cMERA, with emphasis on why we should care about these two constructions, including their conjectured connection to the AdS/CFT correspondence. Then, using the simplified context of the free boson CFT in 1+1 dimensions, I will discuss two new results: (1) the cMERA wavefunction, which has an explicit UV cutoff, is nevertheless invariant under the conformal group (but with modified Virasoro generators: the stress tensor is nonlocal at short distances); (2) cMERA can be regarded as an evolution in de Sitter space. Talk based on joint work with Qi Hu, in preparation.
There was a tremendous amount of interest for the “It from Qubit” summer school being hosted at Perimeter Institute from July 1829, 2016. As we were not able to accept everyone into the program, arrangements have been made for livestreaming, and satellite workshops have been established in some select locations. More information regarding these options is listed below:
Main Lectures: Live Streaming Setup and Chat
Perimeter will be livestreaming the conference talks to allow satellite schools and remote attendees to follow the proceedings  see the URL below. The Livestream service supports all Flash playing browsers.
Streaming and Chat URLs
http://perimeterinstitute.ca/itqubitsummerschool/livestreamsession1 (Main page)
http://perimeterinstitute.ca/itqubitsummerschool/livestreamsession2 (Secondary page)
The main page will live stream all lectures and seminars taking place in the Theatre, ie, at 9am, 11am and 5pm (Waterloo time)  see the Schedule. The secondary page will only be active for the 9am lecture on Monday July 18th, Tuesday July 19th and Wednesday July 20th and will show the lecture given in the Bob Room.
If you would like to submit questions through the Live Chat, we ask that you apply the following Etiquette:
 Introduce yourself  Start your comment with your name and location (eg, "Lenny Susskind, Stanford: I'd like to ask ..." so we know who you are.
 Be concise  keep comments or questions short so we have a chance to read and respond to them without a long delay.
 Avoid abbreviations  avoid abbreviations and acronyms unless they are standard physics conventions.
 Avoid followup questions, thanks or good byes  keep to a single comment or question to respect time constraints
If you have difficulties viewing the live stream, please, contact: Jeff Leithwood <jleithwood@perimeterinstitute.ca>
All lectures (including focus lectures) will be recorded and the recordings will be available on PIRSA at the URL below. Every effort will be made to have the recordings posted within a few hours of presentation
http://pirsa.org/C16003
Remote Participants
Remote participants will be able to both watch the live video feed and send questions and comments via the chat feature at the links above. Remote participants are also invited to consider the practice problems which will be posted to the conference website, as the school progresses. (Solution sets will also be provided in due course.)
Satellite Schools
The satellite schools will be organized at select locations to allow students view the lectures and work on the practice problems in a group. If you are interested in participating in one of the satellite schools, we kindly request that you contact the following individuals at the location most convenient for you. If you are interesting in organizing a new satellite school and have it advertised here, please contact Stephanie Mohl at smohl@perimeterinstitute.ca
Germany: Albert Einstein Institute (Golm)
Netherlands: University of Amsterdam
Germany: LudwigMaximiliansUniversität München
Israel: University of Tel Aviv
California: UC Berkeley
Massachusetts: MIT
The following social events have been set up for the “It from Qubit” summer school. We hope you will be able to take advantage of some of these opportunities.
Movie NightS
Calling all Star Trek Enthusiasts! As a prelude to the new Star Trek movie premiering in the first week of the school, we will show the first two installments in the main lecture theatre at 7:30 pm on Thursday and Friday night. We encourage you to visit a local theatre to see the third movie on Saturday, July 23.
Thursday, July 21 
Star Trek 
Friday, July 22 
Star Trek: Into the Darkness 
Saturday, July 23 
Star Trek Beyond 
Star Trek Beyond will be showing at the following two theatres in Waterloo. You may prepurchase tickets in the hyperlinks below.
1. Galaxy Cinemas Waterloo – http://www.cineplex.com/Showtimes/anymovie/waterlooon?Date=7/23/2016
To get to this theatre please take Bus Route 202 on University/Seagram (Stop 1090) to get to Conestoga Mall. The cost to take the bus is $3.25 and you must have the exact change. Time: approximately 30 minutes.
2. Landmark Cinemas  https://www.landmarkcinemas.com/waterloo/filminfo?film=3485
3D 
Regular 
To get to this theatre please take Bus Route 29 at University/Seagram (Stop 2676) to the Boardwalk Medical Centre (Stop 1293) and walk across the parking lot to Landmark Cinemas. The cost to take the bus is $3.25 and you must have the exact change. Time: approximately 30 minutes.
For approximate timing of these routes you may use the GRT website to plan your trip: http://web.grt.ca/hastinfoweb/
Excursion to Niagara Falls
Niagara Falls is best known as one of the seven natural wonders of the world. An excursion has been planned to visit the falls and then continue on to Trius vineyard in NiagaraontheLake for lunch and wine tasting. The cost of the excursion is $25.00 and anyone interested in participating must contact Stephanie, smohl@perimeterinstitute.ca by Friday, July 8
Sunday, July 24: 
Itinerary is as follows (timing approximate) 
9:00 am 
Depart Perimeter Institute 
11:00 – 1:00 pm 
Table Rock, Niagara Falls 
1:00 – 1:30 pm 
Drive to NiagaraontheLake 
1:30 – 3:00 pm 
Lunch at Trius Winery at Hilldebrand 
3:00 – 4:00 pm 
Best in Glass Vineyard and Winery Tour 
4:00 pm 
Depart for Waterloo (Perimeter Institute) 
It from Qubit BBQ
A BBQ will be held on Wednesday, July 27. All summer school students and workshop participants are invited to attend and break bread with one another. Who doesn’t like a good BBQ? Yummm!
Wednesday, July 27: Black Hole Bistro, 6:30 pm
Building Access:
 Monday – Friday
 The front door of the building will be open from 8:00 am until 5:00 pm. However, access to common areas within the building will be open until 8:00 pm
 Library hours are from 8:30 am – 5:00 pm
 Saturday, July 23
 The institute will be open for the morning to accommodate lectures taking place in the theater from 9:00 am – 12:30 pm. Breakfast and lunch will not be available in the bistro on this day
 The institute will be open from 8:30 – 9:00 am to allow check in for the excursion. The bistro will not be open to serve breakfast or provide any other snacks.
 Sunday, July 24
 During the hours not listed, the building will be locked. There is security onsite 24 hours. You are welcome to work in the library or common areas. Please identify yourself as a conference attendee and they will let you into the building.
Computer Access:
 It is no longer necessary to have a username or password to log on to the PI wireless network.
 To connect to the PI network, open your ‘Wireless Networks Available’ window and connect to PI_Public.
 If you have any questions or IT needs during you stay, please contact them at tech@pitp.ca
Washrooms:
 Washrooms are located on every floor of the building on the south side, as well as in the Atrium area near the Mike Lazaridis Theater of Ideas.
Lunches:
 Please make sure that you are wearing your name badge during all meals.
Questions:
 If you have questions regarding your travel, or would like more information about the area, please see Stephanie Mohl or Emma Nichols in office 129. Alternatively, Stephanie can be reached at extension 6062 or by email at smohl@perimeterinstitute.ca. Emma may be reached at enichols@perimeterinstitute.ca
Generally, the morning lectures will take place in the Mike Lazaridis Theatre on the 1^{st} floor. The first lecture begins at 9am and the second lecture, at 11am. Please ensure that you arrive promptly in order to guarantee a seat and to cause no disruption to the lecture. The lectures will also be shown in the Bob Room on the 4^{th} floor, in case the seating in the theatre reaches maximum capacity.
At 9am on the first three days of the conference, there will be an exception to the above arrangements and instead there will be two simultaneous lectures. The first will be in the Bob Room and will be directed at QI students interested in learning more about gravity and quantum field theory. The second will be in the Theatre and will be directed at HE students interested in learning about quantum information basics.
Summer School Problem Solving sessions:
Due to the number of students who will be participating in the “It from Qubit” summer school, it was necessary to hold the problem solving session in two separate rooms: the 2^{nd} Floor Bistro or the Space Room (on the 4^{th} floor). On the back of your nametag, you will see to which of these two rooms you have be assigned. Please go to the room indicated as there is a limited number of spaces in each room and the spaces have been set up based on your placement.
You will also see a coloured dot on the front of your nametag. A red dot indicates that our information was that your primary background was in Quantum Information whereas a blue dot indicates a High Energy background. Please, do not worry if you feel we have made an error in this assignment. Both of the rooms are arranged with tables for 8 students each. We are going to ask you to arrange yourselves so that each table seats (roughly) 4 QI students and 4 HE students. A few printed copies of the problem sets will be provided at each table. The problem sets can also be on the conference website. (Solutions will also be posted there in due course.)
Further we are encouraging the students to help each other in these sessions. So feel free to discuss the problems (as well as the morning’s lectures) in your group and seek advice from someone with a different background than yours. There will also be two tutors supervising each session and so you can also ask them when you get stuck. Each of the morning’s lecturers will also visit the problem solving sessions at some point in the afternoon and so again we encourage you to ask them about the problems (as well as the morning’s lectures).
Focus Lectures:
Two focus lectures have been scheduled for each day from 5–6pm; one in the Alice Room (3^{rd} floor) and one in the Bob Room (4^{th} floor). These are supplementary lectures which we hope will help provide a greater understanding of the material presented in the morning courses. Please feel free to attend which ever lecture you think you will benefit from the most. Advanced students should also feel free to attend the workshop seminar which will be taking place at the same time in the Theatre.
Final Note:
This summer school has been organized by the "It from Qubit" Simons Collaboration to promote communication and learning between the high energy physics and quantum information theory communities. Hence, we are catering to a very broad spectrum of students and we have arranged a diverse set of activities. The school is also being held concurrently with a research workshop of the "It from Qubit" Collaboration. However, you will simply not be able to attend all of the lectures, seminars and other activities that are taking place here at Perimeter in the next two weeks! You will have to make choices. So we are asking each of you to choose to participate in those activities that you think will maximally benefit your own learning. As a side note, let us add that all of the lectures and seminars will be recorded and should appear at http://pirsa.org/C16003 within a few hours of their completion.
Please, enjoy your stay here at Perimeter!
July 18
Hayden: Quantum Information Basics
Problem Set
Solution
Supplementary reading for this course:
Chapters 2 and 3 (and a small part of chapter 10) in John Preskill's Lecture Notes on Quantum Computation (http://www.theory.caltech.edu/people/preskill/ph229/)
Hubeny: Gravity Basics
Problem Set
Solution
Lecture Notes for this Lecture
Supplementary reading for this course:
Sean Carroll, "Lecture Notes on General Relativity" (http://arxiv.org/pdf/grqc/9712019)
Spekkens: Entanglement
Problem Set
Solution
Supplementary reading for this course:
Nielsen and Chuang ``Quantum Computation and Quantum Information'', Section 12.5
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki, ``Quantum entanglement'', Rev. Mod. Phys. 81, 865 (2009), Sections I, II, and IIIAD
Marshall, Olkin, and Arnold "Inequalities: Theory of Majorization and Its Applications"
July 19
Watrous: QI Basics
Problem Set
Solution
Supplementary reading for this course:
A similar presentation of Shor's algorithm can be found in:
P. Kaye, R. Laflamme, and M. Mosca, "An Introduction to Quantum Computing" (Oxford University Press 2007)
or
R. Cleve, A. Ekert, C. Macchiavello and M. Mosca, "Quantum algorithms revisited," Proceedings of the Royal Society A (1998) [arXiv:quantph/9708016]
Hartman: QFT Basics
Problem Set
Solution
Supplementary reading for this course:
Sections 45 of my course notes at http://www.hartmanhep.net/topics2015/
Section 1 of Rychkov's lectures at https://arxiv.org/abs/1601.05000
Spekkens: Entanglement
Problem Set
Solution
July 20
Gottesman: Quantum Error Correction
Problem Set
Solution
Supplementary reading for this course:
Daniel Gottesman, "An Introduction to Quantum Error Correction," arXiv:quantph/0004072
See also a longer list of resources at the following webpage:
<https://www.perimeterinstitute.ca/personal/dgottesman/QECCresources.html>
Hubeny: Gravity Basics
Problem Set
Solution
Lecture Notes for this Lecture
Casini: Entanglement in QFT
Problem Set
Solution
Bonus Question
Bonus Question Solution
Supplementary reading for this course:
H. Casini and M. Huerta, "Entanglement entropy in free quantum field theory" (https://arxiv.org/abs/0905.2562)
P. Calabrese and J. Cardy, "Entanglement Entropy and Quantum Field Theory" (http://arxiv.org/abs/hepth/0405152)
July 21
Hartman: QFT Basics
Problem Set
Solution
Casini: Entanglement in QFT
Problem Set
Solution
Bonus Question
Bonus Question Solution
July 22
Gottesman: Quantum Error Correction
Problem Set
Solution
Rangamani: AdS/CFT Correspondence
Problem Set
Solution
Supplementary reading for this course:
M. Rangamani "The AdS/CFT Correspondence"
https://ucdavis.box.com/v/adscftnotes
July 23
Jordan: Simulation of Quantum Hamiltonians
Lecture Notes for this Lecture
July 25
Jordan: Simulation of Quantum Hamiltonians
Problem Set
Solution
Lecture Notes for this Lecture
Rangamani: AdS/CFT Correspondence
Problem Set
Solution
July 26
Hayden: Quantum Shannon Theory
Problem Set
Solution
Supplementary reading for this course:
Chapter 10 of Preskill’s quantum computation lecture notes: http://www.theory.caltech.edu/~preskill/ph219/chap10_6A.pdf
B. Czech, P. Hayden, N. Lashkari and B. Swingle, "The Information Theoretic Interpretation of the Length of a Curve" (http://arxiv.org/pdf/1410.1540.pdf)
Rangamani: AdS/CFT Correspondence
Problem Set
Solution
Supplementary reading for this course:
M. Rangamani "Holographic Entanglement Entrophy"
https://ucdavis.box.com/v/eebookpi
https://arxiv.org/pdf/1609.01287v1.pdf
July 27
Vidal: Tensor Networks
Problem Set
Solution
Slides for this Lecture: Tensor Networks
Harlow: Black Hole Information Paradox
Problem Set
Solution
July 28
Aharonov: Complexity
Problem Set
Supplementary reading for this course:
Survey of the circuittoHamiltonian construction and Kitaev's proof that local Hamiltonian is QMA complete:
Dorit Aharonov, Tomer Naveh, "Quantum NP  A Survey" (https://arxiv.org/abs/quantph/0210077)
More conceptual explanations of the above in Sections 13 of Dorit Aharonov, Itai Arad and Thomas Vidick, "The Quantum PCP Conjecture" (http://arxiv.org/abs/1309.7495)
(section 1.3 explains the connection between QMA hardness and the time of relaxation to the Gibbs state or ground state. Section 3 explains the difficulties in Kitaev's proof of QMA completeness of the local Hamiltonian problem)
Long list of QMAcomplete problems:
Adam D. Bookatz, "QMAcomplete problems" (https://arxiv.org/abs/1212.6312)
More specialized material:
Hardness of physically motivated Hamiltonians (2D Hubbard and 2D Heisenberg):
Norbert Schuch and Frank Verstraete, "Computational Complexity of interacting electrons and fundamental limitations of Density Functional Theory" (http://arxiv.org/abs/0712.0483)
QMA completeness of the Consistency of density matrices problem:
YiKai Liu, "Consistency of Local Density Matrices is QMAcomplete" (https://arxiv.org/abs/quantph/0604166)
1D translationaly invariant hamiltonians are hard:
Daniel Gottesman and Sandy Irani, "The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems" (https://arxiv.org/abs/0905.2419)
July 29
Shenker: Quantum Gravity and Quantum Chaos
Supplementary reading for this course:
J. Maldacena, S.H. Shenker and D. Stanford, "A bound on chaos," arXiv:1503.01409 [hepth].
S.H. Shenker and D. Stanford, "Stringy effects in scrambling," arXiv:1412.6087 [hepth].
D.A. Roberts, D. Stanford and L. Susskind, "Localized shocks," arXiv:1409.8180 [hepth].
Harlow: Toy Holography
Additional minicourse by Aaron Wall on entanglement entropy and black hole physics available here: http://www.wall.org/~aron/STmini.htm


Jeudi juil 28, 2016
I enumerate the cases in 2d CFT when the modular hamiltonian (log of the reduced density matrix) may be written as an appropriate integral over the energymomentum tensor times a local weight. This includes known examples as well as new timedependent ones. In all these cases the entanglement spectrum is that of an appropriate boundary CFT. I point out the obstruction to the existence of such a result for more complicated bipartitions of the space. This is joint work with Erik Tonni


Mercredi juil 27, 2016
In this talk I consider the following principle that one may impose on any physical theory T:
"If an agent uses T to describe a system which includes another agent who herself uses T then no logical contradictions should arise.”
I then propose a gedankenexperiment, which can be regarded as an extension of the Wigner’s Friend experiment, to test whether this principle holds for quantum mechanics. The conclusion is that this is indeed the case for “plain" quantum theory, but that the principle is violated by many of its common interpretations and extensions.
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