|
| related topics |
| {information, entropy, channel} |
| {entanglement, phys, rev} |
| {state, states, entangled} |
| {let, theorem, proof} |
| {equation, function, exp} |
| {bell, inequality, local} |
| {algorithm, log, probability} |
| {states, state, optimal} |
| {theory, mechanics, state} |
|
Modification of relative entropy of entanglement
An Min Wang
abstract: We present the modified relative entropy of entanglement (MRE) that is proved
to be a upper bound of distillable entanglement (DE), also relative entropy of
entanglement (RE), and a lower bound of entanglement of formation (EF). For a
pure state, MRE is found by the requirement that MRE is equal to EF. For a
mixed state, MRE is calculated by defining a total relative density matrix. We
obtain an explicit and "weak" closed expressions of MRE that depends on the
pure state decompositions for two qubit systems and give out an algorithm to
calculate MRE in principle for more qubit systems. MRE significantly improves
the computability of RE, decreases the sensitivity on the pure state
decompositions in EF, reveals the particular difference of similar departure
states from Bell's state and restore the logarithmic dependence on probability
of component states consistent with information theory. As examples, we
calculate MRE of the mixture of Bell's states and departure states from Bell's
states, and compare them with EF as well as Wootters' EF. Moreover we study the
important properties of MRE including the behavior under local general
measurement (LGM) and classical communication (CC).
- oai_identifier:
- oai:arXiv.org:quant-ph/0203093
- categories:
- quant-ph
- comments:
- Further revised version. Thoroughly rewrite the section about our
examples and eliminate some errors within them. 16 pages (two columns in PR's
format), 4 figures. This is an extended version of quant-ph/0001023
- arxiv_id:
- quant-ph/0203093
- created:
- 2002-03-19
- updated:
- 2002-05-13
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