|
| related topics |
| {state, states, entangled} |
| {entanglement, phys, rev} |
| {operator, operators, space} |
| {qubit, qubits, gate} |
| {group, space, representation} |
| {phase, path, phys} |
|
Entanglement monotones and maximally entangled states in multipartite
qubit systems
Andreas Osterloh, Jens Siewert
abstract: We present a method to construct entanglement measures for pure states of
multipartite qubit systems. The key element of our approach is an antilinear
operator that we call {\em comb} in reference to the {\em hairy-ball theorem}.
For qubits (or spin 1/2) the combs are automatically invariant under
$SL(2,\CC)$. This implies that the {\em filters} obtained from the combs are
entanglement monotones by construction. We give alternative formulae for the
concurrence and the 3-tangle as expectation values of certain antilinear
operators. As an application we discuss inequivalent types of genuine four-,
five- and six-qubit entanglement.
- oai_identifier:
- oai:arXiv.org:quant-ph/0506073
- categories:
- quant-ph
- comments:
- 7 pages, revtex4. Talk presented at the Workshop on "Quantum
entanglement in physical and information sciences", SNS Pisa, December 14-18,
2004
- doi:
- 10.1142/S0219749906001980
- arxiv_id:
- quant-ph/0506073
- journal_ref:
- Int. J. Quant. Inf. 4, 531 (2006)
- created:
- 2005-06-09
Full article ▸
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