Physics – Quantum Physics
Scientific paper
2007-03-05
Phys. Rev. A 76, 042114 (2007)
Physics
Quantum Physics
5 pages, minor modifications and clarifications
Scientific paper
10.1103/PhysRevA.76.042114
How much unavoidable randomness is generated by a Positive Operator Valued Measure (POVM)? We address this question using two complementary approaches. First we study the variance of a real variable associated to the POVM outcomes. In this context we introduce an uncertainty operator which measures how much additional noise is introduced by carrying out a POVM rather than a von Neumann measurement. We illustrate this first approach by studying the variances of joint estimates of \sigma_x and \sigma_z for spin 1/2 particles. We show that for unbiased measurements the sum of these variances is lower bounded by 1. In our second approach we study the entropy of the POVM outcomes. In particular we try to establish lower bounds on the entropy of the POVM outcomes. We illustrate this second approach by examples.
No associations
LandOfFree
Uncertainty Relations for Positive Operator Valued Measures 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 Uncertainty Relations for Positive Operator Valued Measures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uncertainty Relations for Positive Operator Valued Measures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-114253