dorsal/arxiv
View SchemaMonogamy inequality for distributed Gaussian entanglement
| Authors | Tohya Hiroshima, Gerardo Adesso, Fabrizio Illuminati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605021 |
| URL | https://arxiv.org/abs/quant-ph/0605021 |
| DOI | 10.1103/PhysRevLett.98.050503 |
| Journal | Phys. Rev. Lett. 98, 050503 (2007) |
Abstract
We show that for all n-mode Gaussian states of continuous variable systems, the entanglement shared among n parties exhibits the fundamental monogamy property. The monogamy inequality is proven by introducing the Gaussian tangle, an entanglement monotone under Gaussian local operations and classical communication, which is defined in terms of the squared negativity in complete analogy with the case of n-qubit systems. Our results elucidate the structure of quantum correlations in many-body harmonic lattice systems.
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"abstract": "We show that for all n-mode Gaussian states of continuous variable systems,\nthe entanglement shared among n parties exhibits the fundamental monogamy\nproperty. The monogamy inequality is proven by introducing the Gaussian tangle,\nan entanglement monotone under Gaussian local operations and classical\ncommunication, which is defined in terms of the squared negativity in complete\nanalogy with the case of n-qubit systems. Our results elucidate the structure\nof quantum correlations in many-body harmonic lattice systems.",
"arxiv_id": "quant-ph/0605021",
"authors": [
"Tohya Hiroshima",
"Gerardo Adesso",
"Fabrizio Illuminati"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"math-ph",
"math.MP",
"physics.optics"
],
"doi": "10.1103/PhysRevLett.98.050503",
"journal_ref": "Phys. Rev. Lett. 98, 050503 (2007)",
"title": "Monogamy inequality for distributed Gaussian entanglement",
"url": "https://arxiv.org/abs/quant-ph/0605021"
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