Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published November 1, 2000 | public
Journal Article Open

Probability distributions consistent with a mixed state

Nielsen, M. A.

Abstract

A density matrix ρ may be represented in many different ways as a mixture of pure states, ρ=∑ipi|ψi〉〈ψi|. This paper characterizes the class of probability distributions (pi) that may appear in such a decomposition, for a fixed density matrix ρ. Several illustrative applications of this result to quantum mechanics and quantum information theory are given.

Additional Information

©2000 The American Physical Society Received 9 September 1999; published 16 October 2000 I thank Sumit Daftuar and Andrew Landahl for pointing out some glitches in earlier versions of this work, and Armin Uhlmann for discussions on majorization. This work was supported by DARPA through the Quantum Information and Computing Institute ~QUIC! administered through the ARO.

Files

NIEpra00b.pdf
Files (77.2 kB)
Name Size Download all
md5:b1e6af8a9b9b3a9ad507ff2dceb1cc7c
77.2 kB Preview Download

Additional details

Created:
August 21, 2023
Modified:
October 13, 2023