Trace distance from the viewpoint of quantum operation techniques

Details Trace distance from the viewpoint of quantum operation techniques Trace distance from the viewpoint of quantum operation techniques

2006-05-19

arxiv.org/abs/quant-ph/0605172v3

J. Phys. A: Math. Theor. 40 (2007) 9533-9549

Physics

Quantum Physics

26 pages, no figures. The bibliography is extended, explanatory improvements

Scientific paper

10.1088/1751-8113/40/31/026

In the present paper, the trace distance is exposed within the quantum operations formalism. The definition of the trace distance in terms of a maximum over all quantum operations is given. It is shown that for any pair of different states, there are an uncountably infinite number of maximizing quantum operations. Conversely, for any operation of the described type, there are an uncountably infinite number of those pairs of states that the maximum is reached by the operation. A behavior of the trace distance under considered operations is studied. Relations and distinctions between the trace distance and the sine distance are discussed.

Affiliated with

Also associated with

No associations

Rating

Trace distance from the viewpoint of quantum operation techniques 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 Trace distance from the viewpoint of quantum operation techniques, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Trace distance from the viewpoint of quantum operation techniques will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-352623