dorsal/arxiv
View SchemaParametrization and distillability of three-qubit entanglement
| Authors | Todd A. Brun, Oliver Cohen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005124 |
| URL | https://arxiv.org/abs/quant-ph/0005124 |
| DOI | 10.1016/S0375-9601(01)00122-0 |
| Journal | Phys. Lett. A 281, 88 (2001). |
Abstract
There is an ongoing effort to quantify entanglement of quantum pure states for systems with more than two subsystems. We consider three approaches to this problem for three-qubit states: choosing a basis which puts the state into a standard form, enumerating ``local invariants,'' and using operational quantities such as the number of maximally entangled states which can be distilled. In this paper we evaluate a particular standard form, the {\it Schmidt form}, which is a generalization of the Schmidt decomposition for bipartite pure states. We show how the coefficients in this case can be parametrized in terms of five physically meaningful local invariants; we use this form to prove the efficacy of a particular distillation technique for GHZ triplets; and we relate the yield of GHZs to classes of states with unusual entanglement properties, showing that these states represent extremes of distillability as functions of two local invariants.
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"abstract": "There is an ongoing effort to quantify entanglement of quantum pure states\nfor systems with more than two subsystems. We consider three approaches to this\nproblem for three-qubit states: choosing a basis which puts the state into a\nstandard form, enumerating ``local invariants,\u0027\u0027 and using operational\nquantities such as the number of maximally entangled states which can be\ndistilled. In this paper we evaluate a particular standard form, the {\\it\nSchmidt form}, which is a generalization of the Schmidt decomposition for\nbipartite pure states. We show how the coefficients in this case can be\nparametrized in terms of five physically meaningful local invariants; we use\nthis form to prove the efficacy of a particular distillation technique for GHZ\ntriplets; and we relate the yield of GHZs to classes of states with unusual\nentanglement properties, showing that these states represent extremes of\ndistillability as functions of two local invariants.",
"arxiv_id": "quant-ph/0005124",
"authors": [
"Todd A. Brun",
"Oliver Cohen"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(01)00122-0",
"journal_ref": "Phys. Lett. A 281, 88 (2001).",
"title": "Parametrization and distillability of three-qubit entanglement",
"url": "https://arxiv.org/abs/quant-ph/0005124"
},
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