Phys. Rev. A 67, 012107 (2003) [6 pages]How to mix a density matrixReceived 15 July 2002; published 28 January 2003 A given density matrix may be represented in many ways as a mixture of pure states. We show how any density matrix may be realized as a uniform ensemble. It has been conjectured that one may realize all probability distributions that are majorized by the vector of eigenvalues of the density matrix. We show that if the states in the ensemble are assumed to be distinct then this is not true, but a marginally weaker statement may still be true. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.012107
DOI:
10.1103/PhysRevA.67.012107
PACS:
03.65.Ta, 03.67.-a
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