How to mix a density matrix

Details How to mix a density matrix How to mix a density matrix

2002-06-24

arxiv.org/abs/quant-ph/0206169v2

Phys. Rev. A 67, 012107 (2003)

Physics

Quantum Physics

13 pages, 3 figures

Scientific paper

10.1103/PhysRevA.67.012107

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 it is not true, but a marginally weaker statement may still be true.

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