On duality between quantum maps and quantum states

Details On duality between quantum maps and quantum states On duality between quantum maps and quantum states

2004-01-20

arxiv.org/abs/quant-ph/0401119v1

Open Syst. Inf. Dyn. 11, 3-42 (2004)

Physics

Quantum Physics

25 pages in revtex with 9 figures included

Scientific paper

We investigate the space of quantum operations, as well as the larger space of maps which are positive, but not completely positive. A constructive criterion for decomposability is presented. A certain class of unistochastic operations, determined by unitary matrices of extended dimensionality, is defined and analyzed. Using the concept of the dynamical matrix and the Jamiolkowski isomorphism we explore the relation between the set of quantum operations (dynamics) and the set of density matrices acting on an extended Hilbert space (kinematics). An analogous relation is established between the classical maps and an extended space of the discrete probability distributions.

Affiliated with

Also associated with

No associations

Rating

On duality between quantum maps and quantum states 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 duality between quantum maps and quantum states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On duality between quantum maps and quantum states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-392841