dorsal/arxiv
View SchemaCharacterizing entanglement with global and marginal entropic measures
| Authors | Gerardo Adesso, Fabrizio Illuminati, Silvio De Siena |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307192 |
| URL | https://arxiv.org/abs/quant-ph/0307192 |
| DOI | 10.1103/PhysRevA.68.062318 |
| Journal | Phys. Rev. A 68, 062318 (2003) |
Abstract
We qualify the entanglement of arbitrary mixed states of bipartite quantum systems by comparing global and marginal mixednesses quantified by different entropic measures. For systems of two qubits we discriminate the class of maximally entangled states with fixed marginal mixednesses, and determine an analytical upper bound relating the entanglement of formation to the marginal linear entropies. This result partially generalizes to mixed states the quantification of entaglement with marginal mixednesses holding for pure states. We identify a class of entangled states that, for fixed marginals, are globally more mixed than product states when measured by the linear entropy. Such states cannot be discriminated by the majorization criterion.
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"abstract": "We qualify the entanglement of arbitrary mixed states of bipartite quantum\nsystems by comparing global and marginal mixednesses quantified by different\nentropic measures. For systems of two qubits we discriminate the class of\nmaximally entangled states with fixed marginal mixednesses, and determine an\nanalytical upper bound relating the entanglement of formation to the marginal\nlinear entropies. This result partially generalizes to mixed states the\nquantification of entaglement with marginal mixednesses holding for pure\nstates. We identify a class of entangled states that, for fixed marginals, are\nglobally more mixed than product states when measured by the linear entropy.\nSuch states cannot be discriminated by the majorization criterion.",
"arxiv_id": "quant-ph/0307192",
"authors": [
"Gerardo Adesso",
"Fabrizio Illuminati",
"Silvio De Siena"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevA.68.062318",
"journal_ref": "Phys. Rev. A 68, 062318 (2003)",
"title": "Characterizing entanglement with global and marginal entropic measures",
"url": "https://arxiv.org/abs/quant-ph/0307192"
},
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