|
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 ▸
|
|
related documents |
0607084v2 |
0308031v2 |
0302093v1 |
0211063v1 |
0301106v1 |
0207058v3 |
0006071v1 |
0403022v2 |
0004051v2 |
0007053v1 |
0702257v2 |
0508071v3 |
0203153v2 |
0403073v3 |
0302075v1 |
0107016v1 |
0509195v1 |
0607190v1 |
0606181v2 |
0309110v2 |
0510237v1 |
0703069v1 |
9903037v1 |
0608012v2 |
0510078v3 |
|