Published August 2007
| Version v1
Journal article
Upper bound on our knowledge about noncommuting observables for a qubit system
- 1. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
- 2. ERATO Macroscopic Quantum Control Project, JST, Tokyo 113-8656 (Japan)
Description
A trade-off relation on our knowledge about two noncommuting observables of a qubit system in simultaneous measurement is formulated. The obtained inequality offers a quantitative information-theoretic representation of Bohr's principle of complementarity, and can be interpreted as a trade-off relation on the asymptotic accuracy of the maximum-likelihood estimation of the probability distributions of observables
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.76.022325;
- arXiv
- arXiv:quant-ph/0703130v4;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 76
- Journal Issue
- 2
- Journal Page Range
- p. 022325-022325.5
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39033689
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACCURACY; DISTRIBUTION; INFORMATION THEORY; MAXIMUM-LIKELIHOOD FIT; PROBABILITY; QUANTUM MECHANICS; QUBITS
- Descriptors DEC
- INFORMATION; MATHEMATICAL SOLUTIONS; MECHANICS; NUMERICAL SOLUTION; QUANTUM INFORMATION
Optional Information
- Notes
- (c) 2007 The American Physical Society