Published November 1, 2000
| public
Journal Article
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Probability distributions consistent with a mixed state
- Creators
- Nielsen, M. A.
Chicago
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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
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