Quantum Dynamics as an analog of Conditional Probability

Details Quantum Dynamics as an analog of Conditional Probability Quantum Dynamics as an analog of Conditional Probability

2006-06-02

arxiv.org/abs/quant-ph/0606022v2

Phys. Rev. A 74, 042310 (2006)

Physics

Quantum Physics

16 pages, 3 figures. v2 Presentation greatly improved, references updated and typos fixed

Scientific paper

10.1103/PhysRevA.74.042310

Quantum theory can be regarded as a non-commutative generalization of classical probability. From this point of view, one expects quantum dynamics to be analogous to classical conditional probabilities. In this paper, a variant of the well-known isomorphism between completely positive maps and bipartite density operators is derived, which makes this connection much more explicit. The new isomorphism is given an operational interpretation in terms of statistical correlations between ensemble preparation procedures and outcomes of measurements. Finally, the isomorphism is applied to elucidate the connection between no-cloning/no-broadcasting theorems and the monogamy of entanglement, and a simplified proof of the no-broadcasting theorem is obtained as a byproduct.

Affiliated with

Also associated with

No associations

Rating

Quantum Dynamics as an analog of Conditional Probability 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 Quantum Dynamics as an analog of Conditional Probability, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Dynamics as an analog of Conditional Probability will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634285