dorsal/arxiv
View SchemaHalf the entanglement in critical systems is distillable from a single specimen
| Authors | R. Orus, J. I. Latorre, J. Eisert, M. Cramer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509023 |
| URL | https://arxiv.org/abs/quant-ph/0509023 |
| DOI | 10.1103/PhysRevA.73.060303 |
| Journal | Phys. Rev. A 73, 060303(R) (2006) |
Abstract
We establish that the leading critical scaling of the single-copy entanglement is exactly one half of the entropy of entanglement of a block in critical infinite spin chains in a general setting, using methods of conformal field theory. Conformal symmetry imposes that the single-copy entanglement for critical many-body systems scales as E_1(\rho_L)=(c/6) \log L- (c/6) (\pi^2/\log L) + O(1/L), where L is the number of constituents in a block of an infinite chain and c corresponds to the central charge. This proves that from a single specimen of a critical chain, already half the entanglement can be distilled compared to the rate that is asymptotically available. The result is substantiated by a quantitative analysis for all translationally invariant quantum spin chains corresponding to general isotropic quasi-free fermionic models. An analytic example of the XY model shows that away from criticality the above simple relation is only maintained near the quantum phase transition point.
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"abstract": "We establish that the leading critical scaling of the single-copy\nentanglement is exactly one half of the entropy of entanglement of a block in\ncritical infinite spin chains in a general setting, using methods of conformal\nfield theory. Conformal symmetry imposes that the single-copy entanglement for\ncritical many-body systems scales as E_1(\\rho_L)=(c/6) \\log L- (c/6)\n(\\pi^2/\\log L) + O(1/L), where L is the number of constituents in a block of an\ninfinite chain and c corresponds to the central charge. This proves that from a\nsingle specimen of a critical chain, already half the entanglement can be\ndistilled compared to the rate that is asymptotically available. The result is\nsubstantiated by a quantitative analysis for all translationally invariant\nquantum spin chains corresponding to general isotropic quasi-free fermionic\nmodels. An analytic example of the XY model shows that away from criticality\nthe above simple relation is only maintained near the quantum phase transition\npoint.",
"arxiv_id": "quant-ph/0509023",
"authors": [
"R. Orus",
"J. I. Latorre",
"J. Eisert",
"M. Cramer"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech",
"math-ph",
"math.MP"
],
"doi": "10.1103/PhysRevA.73.060303",
"journal_ref": "Phys. Rev. A 73, 060303(R) (2006)",
"title": "Half the entanglement in critical systems is distillable from a single specimen",
"url": "https://arxiv.org/abs/quant-ph/0509023"
},
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