Entanglement monotones and maximally entangled states in multipartite qubit systems

Details Entanglement monotones and maximally entangled states in multipartite qubit systems Entanglement monotones and maximally entangled states in multipartite qubit systems

2005-06-09

arxiv.org/abs/quant-ph/0506073v1

Int. J. Quant. Inf. 4, 531 (2006)

Physics

Quantum Physics

7 pages, revtex4. Talk presented at the Workshop on "Quantum entanglement in physical and information sciences", SNS Pisa, Dec

Scientific paper

10.1142/S0219749906001980

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.

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