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Phys. Rev. A 62, 052308 (2000) [6 pages]

Probability distributions consistent with a mixed state

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M. A. Nielsen*
Department of Physics, MC 12-33, California Institute of Technology, Pasadena, California 91125

Received 9 September 1999; published 16 October 2000

A density matrix ρ may be represented in many different ways as a mixture of pure states, ρ=∑ipi|ψiψi|. 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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.62.052308
DOI:
10.1103/PhysRevA.62.052308
PACS:
03.67.-a, 03.65.-B

*Electronic address: mnielsen@theory.caltech.edu