ONE-SHOT HOLOGRAPHY
Abstract
Quantum technologies promise game-changing capabilities in cryptography, computing, sensing and beyond that will revolutionize our military and our world over the coming decades, all built on the back of the theory of quantum information. This project will build our understanding of quantum information by studying holographic theories - quantum theories that have a mathematically equivalent description in terms of an emergent gravitational geometry that encodes their entanglement structure. Such systems have led to important progress in our understanding of quantum error correction, quantum Shannon theory and quantum cryptography. They also provide the most analytically tractable examples of strongly coupled quantum systems and quantum chaos. Specifically, we propose to investigate the role played in holography by one-shot quantum Shannon theory - the study of bounds on information transfer given only a single use of a quantum channel or state - in order to fi nally, de finitively answer a basic question about holographic theories- how exactly is information from the gravitational description encoded in the nongravitational description? Answering this question could lead to new insights into quantum error correction and quantum cryptography, the emergence of dynamical time in quantum gravity, and the black hole information problem. Moreover, even attempting to tackle such a question will require developing a variety of new mathematical and physical tools of important independent interest, from extending one-shot quantum Shannon theory to general von Neumann algebras to proving new energy conditions on all quantum field theories.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Mar 07, 2023
- Source ID
- FA95502210098
Entities
People
- Geoff Penington
Organizations
- Air Force Office of Scientific Research
- United States Air Force
- University of California Regents