Physical Purification of Quantum States

Details Physical Purification of Quantum States Physical Purification of Quantum States

2005-09-14

arxiv.org/abs/quant-ph/0509100v3

Phys. Rev. A 73, 062309 (2006)

Physics

Quantum Physics

5 pages, 1 figure; published version

Scientific paper

10.1103/PhysRevA.73.062309

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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