dorsal/arxiv
View SchemaPhysical Purification of Quantum States
| Authors | M. Kleinmann, H. Kampermann, T. Meyer, D. Bruss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509100 |
| URL | https://arxiv.org/abs/quant-ph/0509100 |
| DOI | 10.1103/PhysRevA.73.062309 |
| Journal | Phys. Rev. A 73, 062309 (2006) |
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.
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"abstract": "We introduce the concept of a physical process that purifies a mixed quantum\nstate, taken from a set of states, and investigate the conditions under which\nsuch a purification map exists. Here, a purification of a mixed quantum state\nis a pure state in a higher-dimensional Hilbert space, the reduced density\nmatrix of which is identical to the original state. We characterize all sets of\nmixed quantum states, for which perfect purification is possible. Surprisingly,\nsome sets of two non-commuting states are among them. Furthermore, we\ninvestigate the possibility of performing an imperfect purification.",
"arxiv_id": "quant-ph/0509100",
"authors": [
"M. Kleinmann",
"H. Kampermann",
"T. Meyer",
"D. Bruss"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062309",
"journal_ref": "Phys. Rev. A 73, 062309 (2006)",
"title": "Physical Purification of Quantum States",
"url": "https://arxiv.org/abs/quant-ph/0509100"
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