|
| related topics |
| {phase, path, phys} |
| {states, state, optimal} |
| {state, states, entangled} |
| {theory, mechanics, state} |
|
General Description of Mixed State Geometric Phase
Mingjun Shi, Jiangfeng Du
abstract: We consider arbitrary mixed state in unitary evolution and provide a
comprehensive description of corresponding geometric phase in which two
different points of view prevailing currently can be unified. Introducing an
ancillary system and considering the purification of given mixed state, we find
that different results of mixed state geometric phase correspond to different
choice of the representation of Hilbert space of the ancilla. Moreover we
demonstrate that in order to obtain Uhlmann's geometric phase it is not
necessary to resort to the unitary evolution of ancilla.
- oai_identifier:
- oai:arXiv.org:quant-ph/0501006
- categories:
- quant-ph
- comments:
- 4 pages, no figure
- arxiv_id:
- quant-ph/0501006
- created:
- 2005-01-03
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