Over the past five years, there has been much interest in a new kind of "unspeakable" quantum information which is to regular quantum information what a classical clock or gyroscope is to a classical message. While the latter is indifferent to the physical nature of the information carriers, the former requires the carrier to have a particular degree of freedom -- a spatial orientation in the case of a gyroscope, or a natural oscillation in the case of a clock. Systems serving this purpose are referred to generically as reference frames, and constitute a quantifiable resource in quantum information theory. They play a central role in the tasks of direction and frame alignment, phase estimation, clock synchronization, and global positioning. The community has only just begun a systematic study of how this resource can be manipulated, quantified, and used optimally in both information-processing protocols and physical parameter estimation.
At the same time, there have been investigations into the information theory that is appropriate for parties that lack any system that could serve as a reference frame for some degree of freedom, or lack correlations among such systems. Such restrictions on the parties quantum operations result in local and global superselection rules (SSRs). How to contend with such SSRs, particularly in the context of computation, cryptography, communication, and the definition of entanglement, has also received a great deal of attention of late.
The community is currently struggling to develop a deeper understanding of these issues. Indeed, many of the confusions and controversies that spawned present research efforts in this field have yet to be completely resolved. These include: the interpretation of quantum states exhibiting coherence between number states in a single mode (a subject of controversy in optics, Bose-Einstein condensation and superconductivity); the quantification of entanglement in systems of bosons or fermions; the efficiency with which frames may be aligned, clocks synchronized, etcetera; and the significance of SSRs on the possibility of implementing various quantum information-processing tasks.
The goal of the workshop is to bring together leaders in this field to share their approaches and results, draw connections between research efforts, develop a broader perspective on the issues, focus on outstanding problems, foster an interactive community, and set objectives for future research.
Please take note of the conference on Quantum information and quantum control which takes place immediately following this workshop in the nearby city of Toronto.
SPEAKERS:
- Emili Bagan, Universitat Autonoma Barcelona, Spain Efficient alignment of reference frames with and without shared entanglement
- Howard Barnum, Los Alamos National laboratory, USA Generalized entanglement and superselection rules
- Stephen Bartlett, University of Queensland, Australia Mixed-state entanglement in the light of pure-state entanglement constrained by superselection rules
- Giulio Chiribella, University of Pavia, Italy Maximum likelihood and efficient use of quantum resources in the alignment of reference frames
- Michael Dickson, Indiana University, USA Quantum Reference Frames and Uncertainty
- Lajos Diosi, Research Institute for Particle and Nuclear Physics, Hungary On quantum alignment of chiralities of distant frameworks
- Nicolas Gisin, University of Geneva, Switzerland Quantum reference frames and relative states
- Domenico Giulini, University of Freiburg, Germany On the notion of Superselection Rule (SSR)
- Debbie Leung, Caltech, USA Quantum Data Hiding
- Netanel Lindner, Technion, Israel Elliptic Rydberg states as direction indicators
- Terry Rudolph, Imperial College, UK Localising relative parameters
- Barry Sanders, University of Calgary, Canada Electronic coherence and electronic coherent states
- Petra Scudo, Technion, Israel The quantum information of reference frames: history and perspectives
- Robert Spekkens, Perimeter Institute, Canada Quantizing and Dequantizing Reference Frames
- Daniel Terno, Perimeter Institute, Canada Invariant Quantum Information
- John A. Vaccaro, University of Hertfordshire, UK Complementarity of accessible entanglement and reference frame uncertainty
- Frank Verstraete, Max Planck Institute for Quantum Optics, Germany TBA
- Howard Wiseman, Griffith University, Australia Entanglement constrained by Indistinguishability: a case study in Super-Selection Rules, Reference Frames and Beyond
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ABSTRACTS POSTERS:
- Paul Alsing, University of New Mexico, USA Teleportation in a non-inertial frame
- Somshubhro Bandyopadhyay, University of Toronto, Canada Exact entanglement cost of unlockable bound entangled states in multipartite systems
- Jean Christian Boileau, University of Waterloo, Canada Polarization-based Quantum Key Distribution Without Shared Reference Frame
- Alonso Botero, Universidad de los Andes, Colombia Modewise vacuum entanglement in the linear harmonic chain
- Stephen Bullock and Gavin Brennen, NIST, USA Matrix Decompositions and Entanglement Dynamics
- Sofyan Iblisbur, Geneva University, Switzerland Asymmetric quantum cloning with more than two clones
- Matt Leifer, Perimeter Institute, Canada Quantum Contextuality and the ABL rule for pre- and post-selected systems
- Luis Gerardo Pedraza, Pontificia Universidad Javeriana-Cali, Colombia Quantum control, quantum entanglement and noise in the seminal Bohr and Rosenfeldâs paper on electromagnetic field measurements
- Andrew J. Skinner, LPS/UMD and Dartmouth College, USA The Chain-Boson Model and Non-Equilibrium Entanglement Dynamics
- Peter Turner, University of Toronto, Canada Degradation of quantum reference frames
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Organizers:
Robert Spekkens
Stephen Bartlett