Published August 2003
| Version v1
Journal article
Testing integrability with a single bit of quantum information
- 1. Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, N2L 3G1 (Canada)
- 2. Perimeter Institute for Theoretical Physics, 35 King Street N., Waterloo, Ontario, N2J 2W9 (Canada)
- 3. Centre for Quantum Computer Technology, School of Physical Science, University of Queensland, Queensland 4072 (Australia)
- 4. Theory Division, MS B213, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
- 5. Departamento de Fisica 'J.J. Giambiagi', FCEN, UBA, Pabell on 1, Ciudad Universitaria, 1428 Buenos Aires (Argentina)
Description
We show that deterministic quantum computing with a single bit can determine whether the classical limit of a quantum system is chaotic or integrable using O(N) physical resources, where N is the dimension of the Hilbert space of the system under study. This is a square-root improvement over all known classical procedures. Our study relies strictly on the random matrix conjecture. We also present numerical results for the nonlinear kicked top
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.68.022302;
- arXiv
- arXiv:quant-ph/0303042v2;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 68
- Journal Issue
- 2
- Journal Page Range
- p. 022302-022302.6
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36081970
- Subject category
- S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; DATA TRANSMISSION; ENERGY LEVELS; HILBERT SPACE; INFORMATION THEORY; NONLINEAR PROBLEMS; QUANTUM MECHANICS; RANDOMNESS; TESTING
- Descriptors DEC
- BANACH SPACE; COMMUNICATIONS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; SPACE
Optional Information
- Notes
- (c) 2003 The American Physical Society