0509100v3

related topics
{states, state, optimal}
{information, entropy, channel}
{state, states, entangled}
{observables, space, algebra}
{state, phys, rev}
{cos, sin, state}
{let, theorem, proof}

Physical Purification of Quantum States

M. Kleinmann, H. Kampermann, T. Meyer, D. Bruss

abstract: We introduce the concept of a physical process that purifies a mixed quantum state, taken from a set of states, and investigate the conditions under which such a purification map exists. Here, a purification of a mixed quantum state is a pure state in a higher-dimensional Hilbert space, the reduced density matrix of which is identical to the original state. We characterize all sets of mixed quantum states, for which perfect purification is possible. Surprisingly, some sets of two non-commuting states are among them. Furthermore, we investigate the possibility of performing an imperfect purification.

oai_identifier:
oai:arXiv.org:quant-ph/0509100
categories:
quant-ph
comments:
5 pages, 1 figure; published version
doi:
10.1103/PhysRevA.73.062309
arxiv_id:
quant-ph/0509100
journal_ref:
Phys. Rev. A 73, 062309 (2006)
created:
2005-09-14
updated:
2006-06-12

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