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Entropic uncertainties for joint quantum measurements

Source: Phys. Rev. A 80, 042106 (2009); doi:10.1103/PhysRevA.80.042106

Published 7 October 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.65.Ta
    Foundations of quantum mechanics; measurement theory
  • 03.67.-a
    Quantum information
  • YEAR: 2009
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PUBLICATION DATA
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Thomas Brougham,1,2 Erika Andersson,3 and Stephen M. Barnett2
1Department of Physics, FJFI, ČVUT, Brehova 7, 115 19 Praha 1, Czech Republic
2SUPA, Department of Physics, University of Strathclyde, Glasgow G4 ONG, United Kingdom
3SUPA, Department of Physics, School of EPS, Heriot-Watt University, Edinburgh EH14 4As, 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. ©2009 The American Physical Society
History: Received 8 December 2008; revised 26 June 2009; published 7 October 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e042106

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