Quantum Estimation by Local Observables

Details Quantum Estimation by Local Observables Quantum Estimation by Local Observables

2004-01-30

arxiv.org/abs/quant-ph/0401187v3

Phys. Rev. A 70, 022327 (1-13) (2004).

Physics

Quantum Physics

34 pages, no figures, including minor changes. To be published in PRA

Scientific paper

10.1103/PhysRevA.70.022327

Quantum estimation theory provides optimal observations for various estimation problems for unknown parameters in the state of the system under investigation. However, the theory has been developed under the assumption that every observable is available for experimenters. Here, we generalize the theory to problems in which the experimenter can use only locally accessible observables. For such problems, we establish a Cram{\'e}r-Rao type inequality by obtaining an explicit form of the Fisher information as a reciprocal lower bound for the mean square errors of estimations by locally accessible observables. Furthermore, we explore various local quantum estimation problems for composite systems, where non-trivial combinatorics is needed for obtaining the Fisher information.

Affiliated with

Also associated with

No associations

Rating

Quantum Estimation by Local Observables 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 Quantum Estimation by Local Observables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Estimation by Local Observables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-629011