dorsal/arxiv
View SchemaEntanglement sharing: from qubits to Gaussian states
| Authors | Gerardo Adesso, Fabrizio Illuminati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506213 |
| URL | https://arxiv.org/abs/quant-ph/0506213 |
| DOI | 10.1142/S0219749906001852 |
| Journal | International Journal of Quantum Information Vol. 4, No. 3 (2006) 383-393 |
Abstract
It is a central trait of quantum information theory that there exist limitations to the free sharing of quantum correlations among multiple parties. Such 'monogamy constraints' have been introduced in a landmark paper by Coffman, Kundu and Wootters, who derived a quantitative inequality expressing a trade-off between the couplewise and the genuine tripartite entanglement for states of three qubits. Since then, a lot of efforts have been devoted to the investigation of distributed entanglement in multipartite quantum systems. In these proceedings we report, in a unifying framework, a bird's eye view of the most relevant results that have been established so far on entanglement sharing in quantum systems. We will take off from the domain of N qubits, graze qudits, and finally land in the almost unexplored territory of multimode Gaussian states of continuous variable systems.
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"abstract": "It is a central trait of quantum information theory that there exist\nlimitations to the free sharing of quantum correlations among multiple parties.\nSuch \u0027monogamy constraints\u0027 have been introduced in a landmark paper by\nCoffman, Kundu and Wootters, who derived a quantitative inequality expressing a\ntrade-off between the couplewise and the genuine tripartite entanglement for\nstates of three qubits. Since then, a lot of efforts have been devoted to the\ninvestigation of distributed entanglement in multipartite quantum systems. In\nthese proceedings we report, in a unifying framework, a bird\u0027s eye view of the\nmost relevant results that have been established so far on entanglement sharing\nin quantum systems. We will take off from the domain of N qubits, graze qudits,\nand finally land in the almost unexplored territory of multimode Gaussian\nstates of continuous variable systems.",
"arxiv_id": "quant-ph/0506213",
"authors": [
"Gerardo Adesso",
"Fabrizio Illuminati"
],
"categories": [
"quant-ph",
"cond-mat.other",
"math-ph",
"math.MP",
"physics.optics"
],
"doi": "10.1142/S0219749906001852",
"journal_ref": "International Journal of Quantum Information Vol. 4, No. 3 (2006)\n 383-393",
"title": "Entanglement sharing: from qubits to Gaussian states",
"url": "https://arxiv.org/abs/quant-ph/0506213"
},
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