On a measure of distance for quantum strategies

Details On a measure of distance for quantum strategies On a measure of distance for quantum strategies

2010-08-27

arxiv.org/abs/1008.4636v4

Journal of Mathematical Physics Volume 53, Issue 3, 032202 (2012)

Physics

Quantum Physics

25 pages: 17 main body, 6 appendix, 2 references. Final version, minor changes

Scientific paper

10.1063/1.3693621

The present paper studies an operator norm that captures the distinguishability of quantum strategies in the same sense that the trace norm captures the distinguishability of quantum states or the diamond norm captures the distinguishability of quantum channels. Characterizations of its unit ball and dual norm are established via strong duality of a semidefinite optimization problem. A full, formal proof of strong duality is presented for the semidefinite optimization problem in question. This norm and its properties are employed to generalize a state discrimination result of Ref. [GW05]. The generalized result states that for any two convex sets S,T of strategies there exists a fixed interactive measurement scheme that successfully distinguishes any choice of s in S from any choice of t in T with bias proportional to the minimal distance between the sets S and T as measured by this norm. A similar discrimination result for channels then follows as a special case.

Affiliated with

Also associated with

No associations

Rating

On a measure of distance for quantum strategies 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 On a measure of distance for quantum strategies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a measure of distance for quantum strategies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-331161