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Title: Complementarity in generic open quantum systems
Authors: Banerjee, Subhashish
Srikanth, R.
Keywords: Complementarity
entropic uncertainty principle
open quantum systems
oscillator systems
atomic systems
Issue Date: 20-Sep-2010
Publisher: World Scientific Publishing Company
Citation: Modern Physics Letters B, 2010, Vol.24, p2485
Abstract: We develop a unified, information theoretic interpretation of the number-phase complementarity that is applicable both to finite-dimensional (atomic) and infinite-dimensional (oscillator) systems, with number treated as a discrete Hermitian observable and phase as a continuous positive operator valued measure (POVM). The relevant uncertainty principle is obtained as a lower bound on entropy excess, X, the difference between the entropy of one variable, typically the number, and the knowledge of its complementary variable, typically the phase, where knowledge of a variable is defined as its relative entropy with respect to the uniform distribution. In the case of finite-dimensional systems, a weighting of phase knowledge by a factor μ (> 1) is necessary in order to make the bound tight, essentially on account of the POVM nature of phase as defined here. Numerical and analytical evidence suggests that μ tends to 1 as the system dimension becomes infinite. We study the effect of non-dissipative and dissipative noise on these complementary variables for an oscillator as well as atomic systems.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: 0217-9849
1793-6640 (Online)
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Copyright: 2010 World Scientific Publishing Company
Appears in Collections:Research Papers (TP)

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