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| related topics |
| {entanglement, phys, rev} |
| {state, states, entangled} |
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| {states, state, optimal} |
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| {cos, sin, state} |
| {classical, space, random} |
| {group, space, representation} |
| {energy, state, states} |
| {phase, path, phys} |
| {vol, operators, histories} |
| {alice, bob, state} |
| {operator, operators, space} |
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Relativity of pure states entanglement
Karol Zyczkowski, Ingemar Bengtsson
abstract: Entanglement of any pure state of an N times N bi-partite quantum system may
be characterized by the vector of coefficients arising by its Schmidt
decomposition. We analyze various measures of entanglement derived from the
generalized entropies of the vector of Schmidt coefficients. For N >= 3 they
generate different ordering in the set of pure states and for some states their
ordering depends on the measure of entanglement used. This odd-looking property
is acceptable, since these incomparable states cannot be transformed to each
other with unit efficiency by any local operation. In analogy to special
relativity the set of pure states equivalent under local unitaries has a causal
structure so that at each point the set splits into three parts: the 'Future',
the 'Past' and the set of noncomparable states.
- oai_identifier:
- oai:arXiv.org:quant-ph/0103027
- categories:
- quant-ph
- comments:
- 18 pages 7 figures
- doi:
- 10.1006/aphy.2001.6201
- arxiv_id:
- quant-ph/0103027
- journal_ref:
- Ann. Phys. 295, 115 (2002)
- created:
- 2001-03-07
- updated:
- 2001-10-08
Full article ▸
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