Constructing N-qubit entanglement monotones from anti-linear operators

Details Constructing N-qubit entanglement monotones from anti-linear operators Constructing N-qubit entanglement monotones from anti-linear operators

2004-10-13

arxiv.org/abs/quant-ph/0410102v2

Phys. Rev. A 72, 012337 (2005)

Physics

Quantum Physics

5 pages, revtex4; more detailed illustration of the method

Scientific paper

10.1103/PhysRevA.72.012337

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-qubit entanglement.

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