Physical Purification of Quantum States

Phys. Rev. A 73, 062309 (2006) 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-dimensio...

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Bibliographic Details
Main Authors Kleinmann, M, Kampermann, H, Meyer, T, Bruss, D
Format Journal Article
LanguageEnglish
Published 14.09.2005
Subjects
Physics - Quantum Physics
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Summary:Phys. Rev. A 73, 062309 (2006) 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.
DOI:10.48550/arxiv.quant-ph/0509100