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| related topics |
| {states, state, optimal} |
| {state, states, entangled} |
| {entanglement, phys, rev} |
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|
Positive Maps Which Are Not Completely Positive
Sixia Yu
abstract: The concept of the {\em half density matrix} is proposed. It unifies the
quantum states which are described by density matrices and physical processes
which are described by completely positive maps. With the help of the
half-density-matrix representation of Hermitian linear map, we show that every
positive map which is not completely positive is a {\em difference} of two
completely positive maps. A necessary and sufficient condition for a positive
map which is not completely positive is also presented, which is illustrated by
some examples.
- oai_identifier:
- oai:arXiv.org:quant-ph/0001053
- categories:
- quant-ph
- comments:
- 4pages,The Institute of Theoretical Physics, Academia Sinica, Beijing
100080, P.R. China
- doi:
- 10.1103/PhysRevA.62.024302
- arxiv_id:
- quant-ph/0001053
- report_no:
- ITP(AC)-qp(AMO)-2000-2
- created:
- 2000-01-14
Full article ▸
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