|
| related topics |
| {states, state, optimal} |
| {measurement, state, measurements} |
| {time, decoherence, evolution} |
| {alice, bob, state} |
| {operator, operators, space} |
| {let, theorem, proof} |
|
Deterministic Quantum State Transformations
Anthony Chefles
abstract: We derive a necessary condition for the existence of a completely-positive,
linear, trace-preserving map which deterministically transforms one finite set
of pure quantum states into another. This condition is also sufficient for
linearly-independent initial states. We also examine the issue of quantum
coherence, that is, when such operations maintain the purity of superpositions.
If, in any deterministic transformation from one linearly-independent set to
another, even a single, complete superposition of the initial states maintains
its purity, the initial and final states are related by a unitary
transformation.
- oai_identifier:
- oai:arXiv.org:quant-ph/9911086
- categories:
- quant-ph
- comments:
- Minor cosmetic changes
- doi:
- 10.1016/S0375-9601(00)00291-7
- arxiv_id:
- quant-ph/9911086
- created:
- 1999-11-19
- updated:
- 2000-03-07
Full article ▸
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