Optimal estimation of a physical observable's expectation value for pure states

Details Optimal estimation of a physical observable's expectation value for pure states Optimal estimation of a physical observable's expectation value for pure states

2005-12-05

arxiv.org/abs/quant-ph/0512037v2

Phys. Rev. A 73, 062322 (2006)

Physics

Quantum Physics

v2: 5pages, typos corrected, journal version

Scientific paper

10.1103/PhysRevA.73.062322

We study the optimal way to estimate the quantum expectation value of a physical observable when a finite number of copies of a quantum pure state are presented. The optimal estimation is determined by minimizing the squared error averaged over all pure states distributed in a unitary invariant way. We find that the optimal estimation is "biased", though the optimal measurement is given by successive projective measurements of the observable. The optimal estimate is not the sample average of observed data, but the arithmetic average of observed and "default nonobserved" data, with the latter consisting of all eigenvalues of the observable.

Affiliated with

Also associated with

No associations

Rating

Optimal estimation of a physical observable's expectation value for pure states 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 Optimal estimation of a physical observable's expectation value for pure states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal estimation of a physical observable's expectation value for pure states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-87280