dorsal/arxiv
View SchemaConstructing N-qubit entanglement monotones from anti-linear operators
| Authors | Andreas Osterloh, Jens Siewert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410102 |
| URL | https://arxiv.org/abs/quant-ph/0410102 |
| DOI | 10.1103/PhysRevA.72.012337 |
| Journal | Phys. Rev. A 72, 012337 (2005) |
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-qubit entanglement.
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"abstract": "We present a method to construct entanglement measures for pure states of\nmultipartite qubit systems. The key element of our approach is an antilinear\noperator that we call {\\em comb} in reference to the {\\em hairy-ball theorem}.\nFor qubits (or spin 1/2) the combs are automatically invariant under\n$SL(2,\\CC)$. This implies that the {\\em filters} obtained from the combs are\nentanglement monotones by construction. We give alternative formulae for the\nconcurrence and the 3-tangle as expectation values of certain antilinear\noperators. As an application we discuss inequivalent types of genuine\nfour-qubit entanglement.",
"arxiv_id": "quant-ph/0410102",
"authors": [
"Andreas Osterloh",
"Jens Siewert"
],
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"quant-ph",
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"math.MP"
],
"doi": "10.1103/PhysRevA.72.012337",
"journal_ref": "Phys. Rev. A 72, 012337 (2005)",
"title": "Constructing N-qubit entanglement monotones from anti-linear operators",
"url": "https://arxiv.org/abs/quant-ph/0410102"
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