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QUANTUM MECHANICS OF MANY-BODY SYSTEMS

Consider the quantum many-body problem: given a large number of quantum mechanical degrees of freedom, such as quantum spins or electrons, and a detailed description of their interactions, can we predict their emergent, collective behavior? This question is relevant to a number of research areas, from condensed matter to statistical mechanics or quantum chemistry, from quantum information to string theory and quantum gravity.

ENTANGLEMENT. A fruitful strategy to understand many-body wave-functions is to study their entanglement. In the ground state of a local Hamiltonian, the entanglement entropy typically obeys an area law, indicating that the wave-function is only weakly entangled.

THE RENORMALIZATION GROUP (RG). The RG aims to produce a sequence of effective descriptions of the many-body system, corresponding to increasing length scales. This sequence eventually converges to some RG fixed point that retains the universal properties of the phase or phase transition of the original many-body system.

ENTANGLEMENT RENORMALIZATION. It turns out that the key to building a proper RG flow for quantum systems (in real space, as opposed to momentum space) is the careful removal of short-range entanglement during the coarse-graining step. Such an RG produces the multi-scale entanglement renormalization ansatz (MERA).

TENSOR NETWORKS. The MERA is a tensor network that exploits the spatial structure of entanglement to produce an efficient (i.e., computationally tractable) description of ground states, even at a quantum critical point. It is particularly suited to describe the ground state of a conformal field theory (CFT) on the lattice. More generally, other tensor network states, such as matrix product states (MPS) and projected entangled-pair states (PEPS), also offer efficient descriptions of quantum many-body states, including systems with topological order.

HOLOGRAPHY. The MERA for a system in D spatial dimensions is a tensor network in D+1 dimensions, with the additional dimension corresponding to the RG flow / length scale. As a result, it is regarded as a discrete realization of the AdS/CFT correspondence, which establishes a duality between a CFT and a theory of quantum gravity defined in one additional space-time dimension.

QUANTUM FIELD THEORY (QFT). The continuous version of tensor networks such as MPS, MERA, or PEPS apply to systems in the continuum, as opposed to the lattice, and aim to produce novel non-perturbative methods for QFT.

- 2011 - present Perimeter Institute for Theoretical Physics Senior Faculty
- 2005 - 2011 The University of Queensland, Australia Professor in the School of Mathematics and Physics
- 2002 - 2005 California Institute of Technology, US Postdoctoral fellow
- 1999 - 2001 University of Innsbruck, Austria Postdoctoral fellow

- Computational resources (810 core years) valued CA $127,357 through a Resource Allocation Competition Compute Canada, 2018
- Severo Ochoa Associated Researcher (from 2018), Instituto de Fisica Teorica, Universidad Autonoma de Madrid, Madrid, Spain.
- NSERC Discovery Grant (2017-2022), CA $350,000, Natural Sciences and Engineering Research Council of Canada, Canada
- Computational resources (829 core years) valued CA $157,734 through a Resource Allocation Competition Compute Canada, 2017
- Computational resources (880 core years) valued CA $247,250 through a Resource Allocation Competition Compute Canada, 2016
- Simons Foundation Grant, US $835,000 As part of the Tensor Network Group within the "Simons Collaboration on the Many Electron Problem" (http://www.simonsfoundation.org/mathematics-and-physical-science/many-electron-collaboration/), Simons Foundation, 2014-2019.
- John Templeton Foundation Grant, US $454,000 "Simulating Emergence in Quantum Matter" (with R. Melko) JTF, Sept 2013 -Feb 2016.
- NSERC Discovery Grant (2012-2017), CAN $305,000, Natural Sciences and Engineering Research Council of Canada, Canada
- Distinguished Research Chair (2010-2011), Perimeter Institute for Theoretical Physics, Canada
- ARC Discovery Project (2010-2012), AUS $390,000, Australian Research Council
- ARC Discovery Project (2008-2010), AUS $575,000, Australian Research Council, Australia
- ARC Federation Fellowship (2006-2011), AUS$ 1,250,000, Australian Research Council, Australia
- Sherman Fairchild Postdoctoral Fellowship (2003-2005), United States of America
- Marie Curie Postdoctoral Fellowship (1999-2001), European Union

- Ashley Milsted, Guifre Vidal, Extraction of conformal data in critical quantum spin chains using the Koo-Saleur formula, Phys. Rev. B 96, 245105 (2017), arXiv: 1706.01436
- Adrián Franco-Rubio, Guifre Vidal, Entanglement and correlations in the continuous multi-scale renormalization ansatz, Journal of High Energy Physics 2017 (12), 129, arXiv: 1706.02841
- Qi Hu, Guifre Vidal, Spacetime symmetries and conformal data in the continuous multi-scale entanglement renormalization ansatz, Phys. Rev. Lett. 119, 010603 (2017), arXiv: 1703.04798
- Wen Wei Ho, Lukasz Cincio, Heidar Moradi, Guifre Vidal Universal edge information from wave-function deformation Journal-ref: Phys. Rev. B 95, 235110 (2017), arXiv: 1510.02982
- Martin Ganahl, Julian Rincon, Guifre Vidal, Continuous Matrix Product States for Quantum Fields: an Energy Minimization Algorithm, Phys. Rev. Lett. 118, 220402 (2017), arXiv: 1611.03779
- T. E. O'Brien, Dmitry A. Abanin, Guifre Vidal, Z. Papic Explicit construction of local conserved operators in disordered many-body systems Phys. Rev. B 94, 144208 (2016), arXiv: 1608.03296
- Markus Hauru, Glen Evenbly, Wen Wei Ho, Davide Gaiotto, Guifre Vidal, Topological conformal defects with tensor networks Phys. Rev. B 94, 115125 (2016), arXiv: 1512.03846
- B. Czech, G. Evenbly, L. Lamprou, S.l McCandlish, X.-L. Qi, J. Sully, G. Vidal, A tensor network quotient takes the vacuum to the thermal state Phys. Rev. B 94, 085101 (2016), arXiv: 1510.07637
- G. Evenbly, G. Vidal Local scale transformations on the lattice with tensor network renormalization Phys. Rev. Lett. 116, 040401 (2016), arXiv: 1510.00689.
- Julian Rincon, Martin Ganahl, Guifre Vidal, Lieb-Liniger model with exponentially-decaying interactions: a continuous matrix product state study, Phys. Rev. B 92, 115107 (2015), arXiv: 1508.04779
- G. Evenbly, G. Vidal, Tensor network renormalization yields the multi-scale entanglement renormalization ansatz, Phys. Rev. Lett. 115, 200401 (2015), arXiv: 1502.05385
- G. Evenbly, G. Vidal Tensor Network Renormalization Phys. Rev. Lett. 115, 180405 (2015), arXiv: 1412.0732
- H.N. Phien, I.P. McCulloch, G. Vidal, Fast convergence of imaginary time evolution tensor network algorithms by recycling the environment Phys. Rev. B 91 (11), 115137 (2015), arXiv: 1411.0391.
- W.W. Ho, L. Cincio, H. Moradi, D. Gaiotto, G. Vidal, Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality, Phys. Rev. B 91, 125119 (2015), arXiv: 1411.6932
- A. Chandran, J. Carrasquilla, I. H. Kim, D.A. Abanin, G. Vidal, Spectral tensor networks for many-body localization, Phys. Rev. B 92, 024201 (2015), arXiv: 1410.0687
- A. Chandran, Isaac H. Kim, G. Vidal, D.A. Abanin, Constructing local integrals of motion in the many-body localized phase, Phys. Rev. B 91, 085425 (2015), arXiv: 1407.8480
- Y. Chen, G. Vidal, Entanglement contour, J. Stat. Mech. (2014) P10011, arXiv: 1406.1471
- B. Bauer, L. Cincio, B. P. Keller, M. Dolfi, G. Vidal, S. Trebst, A. W. W. Ludwig, Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator, Nature Communications 5, 5137 (2014), arXiv: 1401.3017
- H. He, G. Vidal, Disentangling Theorem and Monogamy for Entanglement Negativity, Physical Review A 91 (1), 012339 (2015), arXiv: 1401.5843
- G. Evenbly, G. Vidal, Algorithms for entanglement renormalization: boundaries, impurities and interfaces, J Stat Phys, DOI 10.1007/s10955-014-0983-1 (2014), arXiv: 1312.0303
- S. Singh, R.N.C. Pfeifer, G. Vidal, G.K. Brennen, Matrix product states for anyonic systems and efficient simulation of dynamics, Phys. Rev. B 89, 075112 (2014), arXiv: 1311.0967
- G. Evenbly, G. Vidal, Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz, Phys. Rev. B 89, 235113 (2014), arXiv: 1310.8372
- S. Singh, G. Vidal, Global symmetries in tensor network states: symmetric tensors versus minimal bond dimension, Phys. Rev. B 88, 115147 (2013), arXiv: 1307.1522
- G. Evenbly, G. Vidal, Theory of minimal updates in holography, Phys. Rev. B 91 (2015), 205119, arXiv: 1307.0831
- Y.A. Lee, G. Vidal, Entanglement negativity and topological order, Phys. Rev. A 88, 042318 (2013), arXiv: 1306.5711
- S. Singh, G. Vidal, Symmetry protected entanglement renormalization, Phys. Rev. B 88, 121108(R) (2013), arXiv: 1303.6716
- G. Evenbly, G. Vidal, A class of highly entangled many-body states that can be efficiently simulated, Phys. Rev. Lett. 112, 240502 (2014), arXiv: 1210.1895
- S. Singh, G. Vidal, Tensor network states and algorithms in the presence of a global SU(2) symmetry, Phys. Rev. B 86, 195114 (2012), arXiv: 1208.3919
- L. Cincio, G. Vidal, Characterizing topological order by studying the ground states of an infinite cylinder, Phys. Rev. Lett. 110, 067208 (2013), arXiv: 1208.2623
- H. N. Phien, G. Vidal, and I.P. McCulloch, Dynamical windows for real-time evolution with matrix product states, Phys. Rev. B 88, 035103 (2013), arXiv: 1207.0678
- H. N. Phien, G. Vidal, I. McCulloch, Infinite boundary condition for matrix product state calculations, Phys. Rev. B 86, 245107 (2012), arXiv: 1207.0652
- G. Evenbly and G. Vidal, A real space decoupling transformation for quantum many-body systems, Phys. Rev. Lett. 112, 220502 (2014), arXiv: 1205.0639
- B. Pirvu, G. Vidal, F. Verstraete, L. Tagliacozzo, Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling, Phys. Rev. B 86, 075117 (2012), arXiv: 1204.3934
- A. J. Ferris, G. Vidal, Perfect Sampling with Unitary Tensor Networks, Phys. Rev. B 85, 165146 (2012), arXiv: 1201.3974
- A.J. Ferris, G. Vidal, Variational Monte Carlo with the Multi-Scale Entanglement Renormalization Ansatz, Phys. Rev. B 85, 165147 (2012), arXiv: 1201.3975
- G. Evenbly, G. Vidal, Tensor network states and geometry, J Stat Phys (2011) 145:891-918, arXiv: 1106.1082
- P. Corboz, S. R. White, G. Vidal, M. Troyer, Stripes in the two-dimensional t-J model with infinite projected entangled-pair states, Phys. Rev. B 84, 041108 (2011), arXiv: 1104.5463
- S. Singh, R.N.C. Pfeifer, G. Vidal, Tensor network states and algorithms in the presence of a global U(1) symmetry, Phys. Rev. B 83, 115125 (2011), arXiv: 1008.4774
- P. Corboz, J. Jordan, G. Vidal, Simulation of fermionic lattice models in two dimensions with Projected Entangled-Pair States: Next-nearest neighbor Hamiltonians, Phys. Rev. B 82, 245119 (2010), arXiv: 1008.3937
- R.N.C. Pfeifer, P. Corboz, O. Buerschaper, M. Aguado, M. Troyer, G. Vidal, Simulation of anyons with tensor network algorithms, Physical Review B 82, 115126 (2010), arXiv: 1006.3532
- R. N. C. Pfeifer, O. Buerschaper, S. Trebst, A. W. W. Ludwig, M. Troyer, G. Vidal, Translation invariance, topology, and protection of criticality in chains of interacting anyons, Phys. Rev. B 86(15), 155111 (2012), arXiv: 1005.5486
- P. Corboz, R. Orus, B. Bauer, G. Vidal, Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States, Phys. Rev. B 81, 165104 (2010), arXiv: 0912.0646
- P. Corboz, G. Vidal, Fermionic multi-scale entanglement renormalization ansatz, Phys. Rev. B 80, 165129 (2009), arXiv: 0907.3184
- S. Singh, R. N. C. Pfeifer, G. Vidal, Tensor network decompositions in the presence of a global symmetry, Phys.Rev.A82:050301,2010, arXiv: 0907.2994
- B. Bauer, G. Vidal, M. Troyer, Assessing the accuracy of projected entangled-pair states on infinite lattices, J. Stat. Mech. (2009) P09006, arXiv: 0905.4880
- R. Orus, G. Vidal, Simulation of two dimensional quantum systems on an infinite lattice revisited: corner transfer matrix for tensor contraction, Physical Review B 80 094403 (2009), arXiv: 0905.3225
- P. Corboz, G. Evenbly, F. Verstraete, G. Vidal, Simulation of interacting fermions with entanglement renormalization, Phys. Rev. A 81, 010303(R) (2010), arXiv: 0904.4151
- J. Jordan, R. Orus, G. Vidal, Numerical study of the hard-core Bose-Hubbard Model on an Infinite Square Lattice, Phys. Rev. B 79, 174515 (2009), arXiv: 0901.0420
- G. Evenbly, G. Vidal, Entanglement renormalization in two spatial dimensions, Phys. Rev. Lett. 102, 180406 (2009), arXiv: 0811.0879
- R.N.C. Pfeifer, G. Evenbly, G. Vidal, Entanglement renormalization, scale invariance, and quantum criticality, Physical Review A 79(4), 040301(R) (2009), arXiv: 0810.0580
- R. Orus, A.C. Doherty, G. Vidal, First order phase transition in the anisotropic quantum orbital compass model, Physical Review Letters 102, 077203 (2009), arXiv: 0809.4068
- R. Koenig, B.W. Reichardt, G. Vidal, Exact entanglement renormalization for string-net models, Phys. Rev. B 79, 195123 (2009), arXiv: 0806.4583
- G.M. Crosswhite, A.C. Doherty, G. Vidal, Applying matrix product operators to model systems with long-range interactions, Phys. Rev. B 78, 035116 (2008), arXiv: 0804.2504
- M. Aguado, G. Vidal, Entanglement renormalization and topological order, Phys. Rev. Lett. 100, 070404 (2008), arXiv: 0712.0348
- R. Orus, G. Vidal, The iTEBD algorithm beyond unitary evolution, Phys. Rev. B 78, 155117 (2008), arXiv: 0711.3960
- A. Perales, G. Vidal, Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems, Phys. Rev A 78, 042337 (2008), arXiv: 0711.3676
- H.-Q. Zhou, R. Orus, G. Vidal, Ground state fidelity from tensor network representations, Physical Review Letters 100, 080601 (2008), arXiv: 0709.4596
- G. Evenbly, G. Vidal, Algorithms for entanglement renormalization, Phys. Rev. B 79, 144108 (2009), arXiv: 0707.1454
- J. Jordan, R. Orus, G. Vidal, F. Verstraete, J. I. Cirac, Classical simulation of infinite-size quantum lattice systems in two spatial dimensions, Physical Review Letters 101, 250602 (2008), arXiv: cond-mat/0703788
- A. Datta, G. Vidal, On the role of entanglement and correlations in mixed-state quantum computation, Phys. Rev. A 75, 042310 (2007), arXiv: quant-ph/0611157
- G. Vidal, A class of quantum many-body states that can be efficiently simulated, Phys. Rev. Lett. 101, 110501 (2008), arXiv: quant-ph/0610099
- G. Vidal, Classical simulation of infinite-size quantum lattice systems in one spatial dimension, Phys. Rev. Lett. 98, 070201 (2007), arXiv: cond-mat/0605597
- G. Vidal, Entanglement renormalization, Phys. Rev. Lett. 99, 220405 (2007), arXiv: cond-mat/0512165
- Y. Shi, L. Duan, G. Vidal, Classical simulation of quantum many-body systems with a tree tensor network, Phys. Rev. A 74, 022320 (2006), arXiv: quant-ph/0511070
- M. Zwolak, G. Vidal, Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm, Phys. Rev. Lett. 93, 207205 (2004), arXiv: cond-mat/0406440
- G. Vidal, Efficient simulation of one-dimensional quantum many-body systems, Phys. Rev. Lett. 93, 040502 (2004), arXiv: quant-ph/0310089
- G. Vidal, C. M. Dawson, A universal quantum circuit for two-qubit transformations with three CNOT gates, Phys. Rev. A 69, 010301 (2004), arXiv: quant-ph/0307177
- Andrew M. Childs, Debbie W. Leung, Guifre Vidal, Reversible simulation of bipartite product Hamiltonians, IEEE Trans. Inf. Theory Vol. 50, No. 6, 1189-1197 (2004), arXiv: quant-ph/0303097
- Guifre Vidal, Efficient classical simulation of slightly entangled quantum computations, Phys. Rev. Lett. 91, 147902 (2003), arXiv: quant-ph/0301063
- A. M. Childs, D. W. Leung, F. Verstraete, G. Vidal, Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions, Quantum Information and Computation 3, 97 (2003), arXiv: quant-ph/0207052
- E. Jane, G. Vidal, W. Duer, P. Zoller, J.I. Cirac, Simulation of quantum dynamics with quantum optical systems, Quantum Information and Computation, Vol. 3, No. 1, 15-37 (2003), arXiv: quant-ph/0207011
- G. Vidal, K. Hammerer, J. I. Cirac, Interaction cost of non-local gates, Phys. Rev. Lett. 88 (2002) 237902, arXiv: quant-ph/0112168
- G. Vidal, J. I. Cirac, Optimal simulation of nonlocal Hamiltonians using local operations and classical communication, Phys. Rev. A 66, 022315 (2002), arXiv: quant-ph/0108076
- G. Vidal, J. I. Cirac, Catalysis in non--local quantum operations, Phys. Rev. Lett. 88 (2002) 167903, arXiv: quant-ph/0108077
- G. Vidal, J. I. Cirac, When only two thirds of the entanglement can be distilled, Phys. Rev. A 65, 012323 (2002), arXiv: quant-ph/0107051
- G. Vidal, R.F. Werner, A computable measure of entanglement, Phys. Rev. A 65, 032314 (2002), arXiv: quant-ph/0102117
- G. Vidal, L. Masanes, J.I. Cirac, Storing quantum dynamics in quantum states: stochastic programmable gate for U(1) operations, Phys. Rev. Lett. 88, 047905 (2002), arXiv: quant-ph/0102037
- G. Vidal, J. I. Cirac, Irreversibility in asymptotic manipulations of entanglement, Phys. Rev. Lett. 86, (2001) 5803-5806., arXiv: quant-ph/0102036
- W. Duer, G. Vidal, J.I. Cirac, Visible compression of commuting mixed states, Phys. Rev. A 64, 022308 (2001), arXiv: quant-ph/0101111
- G. Vidal, W. Duer, J. I. Cirac, Reversible combination of inequivalent kinds of multipartite entanglement, Phys. Rev. Lett. 85, 658 (2000), arXiv: quant-ph/0004009
- Guifre Vidal, Daniel Jonathan, M. A. Nielsen, Approximate transformations and robust manipulation of bipartite pure state entanglement, Phys. Rev. A 62, 012304 (2000), arXiv: quant-ph/9910099
- Rolf Tarrach, Guifre Vidal, Universality of optimal measurements, Phys. Rev. A 60, R3339 (1999), arXiv: quant-ph/9907098
- Guifre Vidal, Entanglement of pure states for a single copy, Phys.Rev.Lett. 83 (1999) 1046-1049, arXiv: quant-ph/9902033
- G. Vidal, J.I. Latorre, P. Pascual, R. Tarrach, Optimal minimal measurements of mixed states, Phys.Rev. A60 (1999) 126, arXiv: quant-ph/9812068
- Guifre Vidal, Entanglement monotones, J.Mod.Opt. 47 (2000) 355, arXiv: quant-ph/9807077
- Guifre Vidal, Rolf Tarrach, Robustness of entanglement, Phys.Rev. A59 (1999) 141-155, arXiv: quant-ph/9806094
- Anna Sanpera, Rolf Tarrach, Guifre Vidal, Quantum inseparability as local pseudomixture, Phys.Rev. A58 (1998) 826-830, arXiv: quant-ph/9801024
- Ashley Milsted, Guifre Vidal, Tensor networks as path integral geometry, arXiv: 1807.02501
- Markus Hauru, Guifre Vidal, Uhlmann fidelities from tensor networks, arXiv: 1807.01640
- Ashley Milsted, Guifre Vidal, Tensor networks as conformal transformations, arXiv: 1805.12524
- Martin Ganahl, Guifre Vidal, Continuous matrix product states for non-relativistic quantum fields: a lattice algorithm for inhomogeneous systems, arXiv: 1801.02219
- Yijian Zou, Ashley Milsted, Guifre Vidal, Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states, arXiv: 1710.05397
- Quantum Criticality with the Multi-scale Entanglement Renormalization Ansatz, Glen Evenbly and Guifre Vidal, chapter in "Strongly Correlated Systems, Numerical Methods", edited by Adolfo Avella and Ferdinando Mancini (Springer Series in Solid-State Sciences volume 176, Springer 2013); arXiv: 1109.5334
- Entanglement Renormalization: an introduction, Guifre Vidal, chapter in "Understanding Quantum Phase Transitions", edited by Lincoln D. Carr (Taylor & Francis, Boca Raton, 2010); arXiv: 0912.1651

- "Tensor networks for lattice gauge theories", Fundamental Interactions meeting, Canadian Institute for Advanced Research, Toronto, August 15th 2018
- "Tensor networks everywhere", Many-states and dynamics workshop, Institute for Quantum Computing, Waterloo, Canada, June 7th 2018
- "Many-body entanglement and Tensor Networks - an introduction", Colloquium at Instituto de Fisica Teorica, UAM, Madrid, Spain, May 24th 2018
- "Tensor Networks as geometry", HoloClub seminar, Instituto de Fisica Teorica, UAM, Madrid, Spain, May 22nd 2018
- "Tensor Networks for Quantum Field Theories in Curved Spacetimes", Quantum Information Science meeting, Canadian Institute for Advanced Research Quebec City, April 28th 2018
- "Tensor networks as geometry", High energy theory seminar, Institute for Advanced Study, Princeton, USA, March 19th 2018
- "Tensor networks as geometry", Sydney Quantum Information Theory Workshop, Coogee, Sydney, Australia, February 2nd 2018
- "Conformal data from critical spin chains using periodic MPS and the Koo-Saleur formula", Seminar at the University of Queensland, Brisbane, Australia, February 13th 2018
- "Conformal data from critical spin chains using periodic MPS and the Koo-Saleur formula", Seminar at the University of Sydney Sydney, Australia, February 8th 2018
- "Conformal data from critical spin chains using periodic MPS and the Koo-Saleur formula", Simons Collaboration on the Non-perturbative Bootstrap's Workshop "Hamiltonian methods in strongly coupled Quantum Field Theory", IHES Paris, France, Jan 10th 2018
- "Tensor networks, conformal field theory, and discrete geometry", USC Condensed Matter, Quantum Information, and Biophysics seminar, University of Southern California, Los Angeles, October 20th 2017
- "Tensor networks as path integral geometry", KITP Conference: "Frontiers in Quantum Information Physics", UC Santa Barbara, October 9th 2017
- "Tensor networks as path integral geometry", Mini-seminar series on "Applications of the Koo-Saleur formula", Microsoft Station Q, UC Santa Barbara, October 17th 2017
- "Tensor networks as path integral geometry", Special seminar of IQIM and high energy groups, Caltech, October 18th 2017
- "Conformal field theories and tensor networks", It from Qubit Simons Collaboration Workshop: "Quantum Information in Quantum Gravity III" University of British Columbia, Vancouver, Canada, August 17th 2017
- "Recent developments in tensor networks", with Ignacio Cirac, Program "Quantum Information", Benasque Center for Science, Spain, July 12th 2017
- "Introduction to tensor networks", ICFO, Barcelona, Spain, July 3rd 2017
- "Geometry without holography", Program "Gravity - New perspectives from strings and higher dimensions", Benasque Center for Science, Spain, July 19th 2017
- "Continuous multi-scale entanglement renormalization ansatz: conformal symmetry", IFT Workshop "Entangle this: tensor networks and gravity", Madrid, Spain, May 8th 2017
- "Continuous tensor networks: recent results and a route map", Annual Meeting of the Simons Collaboration on the Many Electron Problem, New York, USA, Feb 1th 2017
- "Conformal Field Theory on the Lattice: Tensor networks at work", It from Qubit Simons Collaboration meeting: "Entanglement in field theory and gravity", Simons Center for Geometry and Physics, Stony Brook, New York, USA, Dec 5th 2016
- "Tensor networks and conformal field theory on the lattice", Universitat de Barcelona Barcelona, Spain, Dec 20th 2016
- "Tensor networks and conformal field theory on the lattice", Institute of Theoretical Physics (IFT), Madrid, Spain, Dec 22nd 2016
- "Tensor networks and conformal field theory on the lattice", at the "Entanglement and Dynamical Systems" program, Simons Center for Geometry and Physics, Stony Brook, New York, USA, Dec 8th 2016
- "Many-body entanglement and tensor networks", Colloquium, UC Davis Davis, USA, Nov 14th 2016
- "Tensor networks and conformal field theory on the lattice", Fields, Strings, Gravity Seminar, UC Davis Davis, USA, Nov 15th 2016
- "Tensor networks and conformal field theory on the lattice", Stanford Institute for Theoretical Physics Seminar Stanford, USA, Nov 17th 2016
- "Many-body entanglement and tensor networks", ICFO seminar, Barcelona, Spain, June 2016
- "Continuous tensor networks", talk at "Quantum Matter" workshop in Benasque, Spain, June 2016
- "Tensor networks for quantum fields", Physics department (Fisica Fonamental), University of Barcelona, Barcelona, Spain, June 2016
- "Tensor networks for quantum fields", Institute for Quantum Information seminar, Caltech, April 2016.
- "Many-body entanglement and tensor networks", Physics colloquium, UC Irvine, April 2016
- "Scale invariance on the lattice", Coogee'16, Sydney Quantum Information Theory Workshop, Sydney, Australia, February 2016
- "Tensor Network Renormalization", The 75th Okazaki Conference: "Tensor network states: algorithms and applications 2016", Okazaki, Japan, January 2016
- "Tensor network renormalization", Workshop on Quantum Information Physics, Yukawa Instititute for Theoretical Physics, Kyoto, Japan, January 2016
- "Tensor Network Renormalization", LASSP and A&EP seminar, Cornell University, USA, September 2015
- "Multi-scale entanglement renormalization ansatz", Gravity - New perspectives from strings and higher dimensions, at CCBPP Benasque, Spain, July 12th - 24th 2015.
- "Tensor Networks, Renormalization and Holography (overview)", Closing the entanglement gap: Quantum information, quantum matter, and quantum fields, KITP UCSB Santa Barbara, USA, June 1st-5th 2015
- "Tensor network states", 2 lectures (3 hours) at Simons Foundation's Many Electron Problem Summer School at SCGP, Stony Brook, USA, June 11-12, 2015
- "Multi-scale entanglement renormalization ansatz from an Euclidean path integral", SITP seminar, Stanford, Palo Alto, USA, April 1st, 2015
- "Tensor network renormalization", Physics Colloquium, Stanford, Palo Alto, March 31th, 2015
- "Tensor network renormalization", Physics Colloquium, UC Berkeley, Berkeley, March 30th, 2015
- "Multi-scale entanglement renormalization ansatz from an Euclidean path integral", Seminar, IQIM, Caltech Pasadena, USA, February 2015
- "Tensor network renormalization", Inaugural celebration, Walter Burke Institute for Theoretical Physics, Caltech Pasadena, USA, Feb 23-24, 2015
- "Extending the Tensor Network Formalism: Euclidean Path Integrals and Quantum Fields", Annual meeting of Simons Foundation's Many Electron Collaboration, New York, February 13th-14th 2015
- "Tensor network renormalization", Sydney Quantum Information Theory Workshop, Coogee'15 Sydney, Australia, January 2015
- "The multi-scale Entanglement Renormalization Ansatz: a pedagogical introduction" Tensor Network States: Algorithms and Applications, Beijing, China, December 1-5, 2014.
- "Many-body entanglement and tensor network states: an overview", Joint Colloquium - Department of Physics & Center of Theoretical and Computational Physics The University of Hong Kong, Hong Kong, December 8, 2014
- "Many-body entanglement and tensor network states: an overview", Colloquium, Physics Department, University of Waterloo, Waterloo, Canada, November 2014.
- "Efficient classical simulation of many-body systems with local integrals of motion", Tensor networks and simulations Simons Institute for the Theory of Computing, UC Berkeley, US, April 2014.
- "Tensor networks", Simons Collaboration on the Many Electron Problem Simons Foundation, New York, US, March 2014.
- "Tensor networks for quantum many-body systems", CQIQC seminar, Physics Department, University of Toronto, Toronto, Canada, February 2014.
- "On the shape of entanglement", Sydney Quantum Information Workshop, Coogee Bay, Sydney, Australia, January 2014.
- "On the shape of entanglement", Taipei Tensor Network Workshop, Taipei, Taiwan, December 2013.
- "Many-body entanglement and tensor network states", Colloquium, Department of Physics and Astronomy, McMaster University, Hamilton, Canada, October 2013.
- "Many-body entanglement and tensor network states", Colloquium, Institute for Quantum Computing, Waterloo, Canada, October 2013.
- "Characterization of emergent topological order from a microscopic Hamiltonian", Seminar, ICFO, Barcelona, Spain, July 2013.
- "Tensor Networks", Simons Foundation, New York, US, May 2013.
- "Towards a complete characterization of emergent topological order from a microscopic Hamiltonian", Sydney Quantum Information Theory Workshop, Coogee, Australia, January 2013.
- "Towards a complete characterization of emergent topological order from a microscopic Hamiltonian", Quantum Science Seminar, The University of Queensland, Brisbane, Australia, December 2012.
- "Towards a complete characterization of emergent topological order from a microscopic Hamiltonian", Mini-workshop on recent development in DMRG/TNs, NTU, Taipei, Taiwan, December 2012.
- "Topological order with tensor networks on infinite cylinders", California Institute of Technology, Pasadena, US, October 2012.
- "Towards a complete classification of emergent topological order from a microscopic Hamiltonian", Workshop: "Exotic Phases of Frustrated Magnets", KITP, Santa Barbara, October 2012.
- "Characterizing topological order by studying the ground states of an infinite cylinder", Microsoft Station Q, Santa Barbara, US, September 2012.
- "Tensor network states that go beyond the boundary law for entanglement entropy", ICFO, Barcelona, Spain, Jun2 2012.
- "A class of entangling quantum circuits that can be efficiently simulated", Workshop: "Networking tensor networks", Benasque, Spain, May 2012.
- "Tensor network states that go beyond the boundary law for entanglement entropy", Workshop: "New states of matter in and out of equilibrium", Galileo Galilei Institute, Florence, Italy, May 2012.
- "Criticality, impurities, and real-space renormalization", Sydney Quantum Information Theory Workshop, Coogee'12 Sydney, Australia, January 2012
- PIRSA:17060071, Introduction to Tensor Network methods - 4, 2017-06-20, Making Quantum Gravity Computable
- PIRSA:17060070, Introduction to Tensor Network methods - 3, 2017-06-20, Making Quantum Gravity Computable
- PIRSA:17060063, Introduction to Tensor Network methods - 1, 2017-06-19, Making Quantum Gravity Computable
- PIRSA:17060064, Introduction to Tensor Network methods - 2, 2017-06-19, Making Quantum Gravity Computable
- PIRSA:17040038, The continuous multi-scale entanglement renormalization ansatz (cMERA), 2017-04-19, Tensor Networks for Quantum Field Theories II
- PIRSA:17010084, PSI 2016/2017 Condensed Matter (Review) - Lecture 1, 2017-01-30, PSI 2016/2017 Condensed Matter (Review)
- PIRSA:16110045, Tensor networks and the renormalization group, 2016-11-09, Colloquium
- PIRSA:16070046, Tensor Networks, 2016-07-27, It from Qubit Summer School
- PIRSA:16070045, tensor networks for quantum fields: conformal invariance and emergent de Sitter space, 2016-07-26, It from Qubit Summer School
- PIRSA:16030008, PSI 2015/2016 Explorations in Condensed Matter - Guifre Vidal - 1, 2016-03-21, PSI 2015/2016 Explorations in Condensed Matter - Guifre Vidal
- PIRSA:15110068, Tensor network renormalization, 2015-11-05, PI-UIUC Joint Workshop on Strongly Correlated Quantum Many-Body Systems 2015
- Presentation on research interests, Perimeter's Condensed Matter Day 2015.
- PIRSA:15090079, Tensor network renormalization, 2015-09-29, Renormalization in Background Independent Theories: Foundations and Techniques
- PIRSA:15080049, Tensor network renormalization, 2015-08-27, Mathematica Summer School
- PIRSA:15080047, The multi-scale entanglement renormalization ansatz, 2015-08-26, Mathematica Summer School
- PIRSA:15080041, Ground state entanglement and tensor networks, 2015-08-25, Mathematica Summer School
- Research presentation in front of new PSI students, August 2015
- The renormalization group: a tensor network perspective, 2015-04-06, Particle Physics Seminar
- "How to coarse-grain a lattice", Condensed Matter group meeting, April 24, 2015
- PIRSA:15030091, The renormalization group: a tensor network perspective, 2015-03-12, Quantum Gravity Seminar
- PIRSA:14040022, 13/14 PSI - Explorations in Condensed Matter - Lecture 1, 2014-03-17, 13/14 PSI - Explorations in Condensed Matter
- PIRSA:14020122, Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator, 2014-02-13, Emergence in Complex Systems
- PIRSA:10100098, Perimeter Institute Pedagogical Introduction: Tensor Networks and Geometry, the Renormalization Group and AdS/CFT , 2011-10-25, Tensor Networks for Quantum Field Theories Conference
- PIRSA:11100075, Pedagogical Introduction to Tensor Networks: MPS, PEPS and MERA , 2011-10-24, Tensor Networks for Quantum Field Theories Conference
- PIRSA:11080143, Researcher Presentation: Guifre Vidal, 2011-08-31, 11/12 PSI - Researcher Presentations
- PIRSA:10050066, Entanglement renormalization and gauge symmetry, 2010-05-25, Emergence and Entanglement
- PIRSA:08010005, Entanglement Renormalization, Quantum Criticality and Topological Order, 2008-01-23, Perimeter Institute Quantum Discussions
- PIRSA:05020003, Disentangling quantum systems: a new perspective in computational quantum physics, 2005-02-02, Perimeter Institute Quantum Discussions

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