Physics – Quantum Physics
Scientific paper
2009-05-20
Physics
Quantum Physics
18 pages, 15 figures; accepted for publication in Modern Physics Letters A
Scientific paper
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 {\it 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 $\mu$ ($> 1$) 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 $\mu$ tends to 1 as system dimension becomes infinite. We study the effect of non-dissipative and dissipative noise on these complementary variables for oscillator as well as atomic systems.
Banerjee Subhashish
Srikanth Raghavendra
No associations
LandOfFree
Complementarity in generic open quantum systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Complementarity in generic open quantum systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complementarity in generic open quantum systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-242673