Uncertainty Relations for Joint Localizability and Joint Measurability in Finite-Dimensional Systems

Details Uncertainty Relations for Joint Localizability and Joint Measurability in Finite-Dimensional Systems Uncertainty Relations for Joint Localizability and Joint Measurability in Finite-Dimensional Systems

2011-04-12

arxiv.org/abs/1104.2096v2

J. Math. Phys. 52, 072105 (2011)

Physics

Quantum Physics

10 pages. To appear in Journal of Mathematical Physics

Scientific paper

10.1063/1.3614503

Two quantities quantifying uncertainty relations are examined. In J.Math.Phys. 48, 082103 (2007), Busch and Pearson investigated the limitation on joint localizability and joint measurement of position and momentum by introducing overall width and error bar width. In this paper, we show a simple relationship between these quantities for finite-dimensional systems. Our result indicates that if there is a bound on joint localizability, it is possible to obtain a similar bound on joint measurability. For finite-dimensional systems, uncertainty relations for a pair of general projection-valued measures are obtained as by-products.

Affiliated with

Also associated with

No associations

Rating

Uncertainty Relations for Joint Localizability and Joint Measurability in Finite-Dimensional 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 Uncertainty Relations for Joint Localizability and Joint Measurability in Finite-Dimensional Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uncertainty Relations for Joint Localizability and Joint Measurability in Finite-Dimensional Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-730939