Physics – Quantum Physics
Scientific paper
2002-11-19
Phys. Rev. A. 67, 042309 (2003)
Physics
Quantum Physics
Submitted to Phys. Rev. A
Scientific paper
10.1103/PhysRevA.67.042309
We consider the problem of designing an optimal quantum detector with a fixed rate of inconclusive results that maximizes the probability of correct detection, when distinguishing between a collection of mixed quantum states. We develop a sufficient condition for the scaled inverse measurement to maximize the probability of correct detection for the case in which the rate of inconclusive results exceeds a certain threshold. Using this condition we derive the optimal measurement for linearly independent pure-state sets, and for mixed-state sets with a broad class of symmetries. Specifically, we consider geometrically uniform (GU) state sets and compound geometrically uniform (CGU) state sets with generators that satisfy a certain constraint. We then show that the optimal measurements corresponding to GU and CGU state sets with arbitrary generators are also GU and CGU respectively, with generators that can be computed very efficiently in polynomial time within any desired accuracy by solving a semidefinite programming problem.
No associations
LandOfFree
Mixed quantum state detection with inconclusive results 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 Mixed quantum state detection with inconclusive results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mixed quantum state detection with inconclusive results will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-55615