|
| related topics |
| {let, theorem, proof} |
| {information, entropy, channel} |
| {state, states, entangled} |
| {entanglement, phys, rev} |
| {alice, bob, state} |
| {observables, space, algebra} |
|
The Uniqueness Theorem for Entanglement Measures
Matthew J. Donald, Michal Horodecki, Oliver Rudolph
abstract: We explore and develop the mathematics of the theory of entanglement
measures. After a careful review and analysis of definitions, of preliminary
results, and of connections between conditions on entanglement measures, we
prove a sharpened version of a uniqueness theorem which gives necessary and
sufficient conditions for an entanglement measure to coincide with the reduced
von Neumann entropy on pure states. We also prove several versions of a theorem
on extreme entanglement measures in the case of mixed states. We analyse
properties of the asymptotic regularization of entanglement measures proving,
for example, convexity for the entanglement cost and for the regularized
relative entropy of entanglement.
- oai_identifier:
- oai:arXiv.org:quant-ph/0105017
- categories:
- quant-ph math-ph math.MP
- comments:
- 22 pages, LaTeX, version accepted by J. Math. Phys
- arxiv_id:
- quant-ph/0105017
- journal_ref:
- J. Math. Phys. 43 (2002) 4252-4272
- created:
- 2001-05-04
- updated:
- 2002-03-15
Full article ▸
|
|
| related documents |
| 0412157v1 |
| 0308151v2 |
| 0605090v1 |
| 0206169v2 |
| 0409207v3 |
| 0202119v2 |
| 0203093v3 |
| 0401053v1 |
| 0207010v1 |
| 0309057v1 |
| 0502040v2 |
| 0012128v1 |
| 0403092v1 |
| 0703069v1 |
| 0603206v1 |
| 0604091v1 |
| 0610235v2 |
| 0407179v1 |
| 0503159v2 |
| 0207058v3 |
| 0203045v1 |
| 0210091v1 |
| 0305031v1 |
| 0407227v3 |
| 0702059v3 |
|