An asymptotic error bound for testing multiple quantum hypotheses

Details An asymptotic error bound for testing multiple quantum hypotheses An asymptotic error bound for testing multiple quantum hypotheses

2011-12-07

arxiv.org/abs/1112.1529v1

Physics

Quantum Physics

28 pages, no figures, to appear in The Annals of Statistics

Scientific paper

We consider the problem of detecting the true quantum state among r possible ones, based of measurements performed on n copies of a finite dimensional quantum system. A special case is the problem of discriminating between r probability measures on a finite sample space, using n i.i.d. observations. In this classical setting it is known that the averaged error probability decreases exponentially with exponent given by the worst case binary Chernoff bound between any possible pair of the r probability measures. Define analogously the multiple quantum Chernoff bound, considering all possible pairs of states. Recently it has been shown that this asymptotic error bound is attainable in the case of r pure states, and that it is unimprovable in general. Here we extend the attainability result to a larger class of r-tuples of states which are possibly mixed, but pairwise linearly independent. We also construct a quantum detector which universally attains the multiple quantum Chernoff bound up to a factor 1/3.

Affiliated with

Also associated with

No associations

Rating

An asymptotic error bound for testing multiple quantum hypotheses 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 An asymptotic error bound for testing multiple quantum hypotheses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An asymptotic error bound for testing multiple quantum hypotheses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595289