dorsal/arxiv
View SchemaCoexistence of unlimited bipartite and genuine multipartite entanglement: Promiscuous quantum correlations arising from discrete to continuous variable systems
| Authors | Gerardo Adesso, Marie Ericsson, Fabrizio Illuminati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609178 |
| URL | https://arxiv.org/abs/quant-ph/0609178 |
| DOI | 10.1103/PhysRevA.76.022315 |
| Journal | Phys. Rev. A 76, 022315 (2007) |
Abstract
Quantum mechanics imposes 'monogamy' constraints on the sharing of entanglement. We show that, despite these limitations, entanglement can be fully 'promiscuous', i.e. simultaneously present in unlimited two-body and many-body forms in states living in an infinite-dimensional Hilbert space. Monogamy just bounds the divergence rate of the various entanglement contributions. This is demonstrated in simple families of N-mode (N >= 4) Gaussian states of light fields or atomic ensembles, which therefore enable infinitely more freedom in the distribution of information, as opposed to systems of individual qubits. Such a finding is of importance for the quantification, understanding and potential exploitation of shared quantum correlations in continuous variable systems. We discuss how promiscuity gradually arises when considering simple families of discrete variable states, with increasing Hilbert space dimension towards the continuous variable limit. Such models are somehow analogous to Gaussian states with asymptotically diverging, but finite squeezing. In this respect, we find that non-Gaussian states (which in general are more entangled than Gaussian states), exhibit also the interesting feature that their entanglement is more shareable: in the non-Gaussian multipartite arena, unlimited promiscuity can be already achieved among three entangled parties, while this is impossible for Gaussian, even infinitely squeezed states.
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"abstract": "Quantum mechanics imposes \u0027monogamy\u0027 constraints on the sharing of\nentanglement. We show that, despite these limitations, entanglement can be\nfully \u0027promiscuous\u0027, i.e. simultaneously present in unlimited two-body and\nmany-body forms in states living in an infinite-dimensional Hilbert space.\nMonogamy just bounds the divergence rate of the various entanglement\ncontributions. This is demonstrated in simple families of N-mode (N \u003e= 4)\nGaussian states of light fields or atomic ensembles, which therefore enable\ninfinitely more freedom in the distribution of information, as opposed to\nsystems of individual qubits. Such a finding is of importance for the\nquantification, understanding and potential exploitation of shared quantum\ncorrelations in continuous variable systems. We discuss how promiscuity\ngradually arises when considering simple families of discrete variable states,\nwith increasing Hilbert space dimension towards the continuous variable limit.\nSuch models are somehow analogous to Gaussian states with asymptotically\ndiverging, but finite squeezing. In this respect, we find that non-Gaussian\nstates (which in general are more entangled than Gaussian states), exhibit also\nthe interesting feature that their entanglement is more shareable: in the\nnon-Gaussian multipartite arena, unlimited promiscuity can be already achieved\namong three entangled parties, while this is impossible for Gaussian, even\ninfinitely squeezed states.",
"arxiv_id": "quant-ph/0609178",
"authors": [
"Gerardo Adesso",
"Marie Ericsson",
"Fabrizio Illuminati"
],
"categories": [
"quant-ph",
"cond-mat.other",
"math-ph",
"math.MP",
"physics.optics"
],
"doi": "10.1103/PhysRevA.76.022315",
"journal_ref": "Phys. Rev. A 76, 022315 (2007)",
"title": "Coexistence of unlimited bipartite and genuine multipartite entanglement: Promiscuous quantum correlations arising from discrete to continuous variable systems",
"url": "https://arxiv.org/abs/quant-ph/0609178"
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