Entropic uncertainties for joint quantum measurements

Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.042106· OSTI ID:21316345

Brougham, Thomas ^[1]; Andersson, Erika ^[2]; Barnett, Stephen M ^[3]

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1. Department of Physics, FJFI, CVUT, Brehova 7, 115 19 Praha 1 (Czech Republic)
2. SUPA, Department of Physics, School of EPS, Heriot-Watt University, Edinburgh EH14 4As (United Kingdom)
3. SUPA, Department of Physics, University of Strathclyde, Glasgow G4 ONG (United Kingdom)

We investigate the uncertainty associated with a joint quantum measurement of two spin components of a spin-(1/2) particle and quantify this in terms of entropy. We consider two entropic quantities, the joint entropy and the sum of the marginal entropies, and obtain lower bounds for each of these quantities. For the case of joint measurements where we measure each spin observable equally well, these lower bounds are tight.

• OSTI ID: 21316345
• Journal Information: Physical Review. A, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevA.80.042106; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
ENTROPY
QUANTUM MECHANICS
SPIN