Quantum Dynamics as an Analog of Conditional Probability

Authors

Matthew S. Leifer, Chapman UniversityFollow

Document Type

Article

Publication Date

2006

Abstract

Quantum theory can be regarded as a noncommutative 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. This 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 and no-broadcasting theorems and the monogamy of entanglement, and a simplified proof of the no-broadcasting theorem is obtained as a by-product.

Comments

This article was originally published in Physical Review A, volume 74, in 2006 DOI: 10.1103/PhysRevA.74.042310

Recommended Citation

Leifer, M.S., 2006. Quantum dynamics as an analog of conditional probability. Phys. Rev. A 74, 042310. doi:10.1103/PhysRevA.74.042310

Peer Reviewed

1

Copyright

American Physical Society