Constructing N-qubit entanglement monotones from anti-linear operators

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dc.creatorOsterloh, Andreas
dc.creatorSiewert, Jens
dc.date2004-10-13
dc.date2005-03-21
dc.date.accessioned2026-07-07T06:30:47Z
dc.date.available2026-07-07T06:30:47Z
dc.descriptionWe 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.
dc.description5 pages, revtex4; more detailed illustration of the method
dc.identifierhttps://arxiv.org/abs/quant-ph/0410102
dc.identifierhttp://arxiv.org/abs/quant-ph/0410102
dc.identifierPhys. Rev. A 72, 012337 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.012337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98428
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleConstructing N-qubit entanglement monotones from anti-linear operators
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