Fidelity is a sub-martingale for discrete-time quantum filters

Details Fidelity is a sub-martingale for discrete-time quantum filters Fidelity is a sub-martingale for discrete-time quantum filters

2010-05-18

arxiv.org/abs/1005.3119v3

IEEE Trans. on Automatic Control, 56(11), pp.2743 - 2747, 2011

Physics

Quantum Physics

Scientific paper

Fidelity is known to increase through any Kraus map: the fidelity between two density matrices is less than the fidelity between their images via a Kraus map. We prove here that, in average, fidelity is also increasing for any discrete-time quantum filter: fidelity between the density matrix of the underlying Markov chain and the density matrix of its associated quantum filter is a sub-martingale. This result is not restricted to pure states. It also holds true for mixed states.

Affiliated with

Also associated with

No associations

Rating

Fidelity is a sub-martingale for discrete-time quantum filters 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 Fidelity is a sub-martingale for discrete-time quantum filters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fidelity is a sub-martingale for discrete-time quantum filters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-57667