Published October 2011
| Version v1
Journal article
Uncertainty relation revisited from quantum estimation theory
- 1. Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)
- 2. Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwake-cho, Kyoto 606-8502 (Japan)
- 3. Hakubi Center, Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto 606-8302 (Japan)
- 4. ERATO Macroscopic Quantum Control Project, JST, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)
Description
We use quantum estimation theory to formulate bounds of errors in quantum measurement for arbitrary quantum states and observables in a finite-dimensional Hilbert space. We prove that the measurement errors of two noncommuting observables satisfy Heisenberg-type uncertainty relation, find the achievable bound, and propose a strategy to achieve it.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.84.042121;
- arXiv
- arXiv:1010.3571v4;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 84
- Journal Issue
- 4
- Journal Page Range
- p. 042121-042121.7
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44039132
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ERRORS; HILBERT SPACE; QUANTUM STATES; UNCERTAINTY PRINCIPLE
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL SPACE; SPACE
Optional Information
- Notes
- (c) 2011 American Institute of Physics