Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions

Childs, Andrew M. and Leung, Debbie W. and Verstraete, Frank and Vidal, Guifré (2003) Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions. Quantum Information and Computation, 3 (2). pp. 97-105. ISSN 1533-7146. doi:10.48550/arXiv.0207052. https://resolver.caltech.edu/CaltechAUTHORS:20111026-075621231

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Abstract

We calculate the asymptotic entanglement capacity of the Ising interaction σ_z ⊗ σ_z, the anisotropic Heisenberg interaction σ_x ⊗ σ_x + σ_y ⊗ σ_y, and more generally, any two-qubit Hamiltonian with canonical form K =μ_x σ_x ⊗ σ_x + μ_y σ_y ⊗ σ_y. We also describe an entanglement assisted classical communication protocol using the Hamiltonian K with rate equal to the asymptotic entanglement capacity.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/quant-ph/0207052	arXiv	UNSPECIFIED
http://www.rintonpress.com/xqic3/qic-3-2/097-105.pdf	Publisher	UNSPECIFIED

Additional Information:

© 2003 Rinton Press. Received 14 October 2002. Revised January 12, 2003. We thank Aram Harrow, Patrick Hayden, and John Smolin for interesting discussions. We also thank Michael Nielsen for comments on the manuscript. AMC received support from the Fannie and John Hertz Foundation. DWL was supported in part by the NSA under ARO Grant No. DAAG55-98-C-0041. FV thanks John Preskill and the Caltech IQI for their hospitality. GV is supported by the US National Science Foundation under Grant No. EIA-0086038. This work was supported in part by the Cambridge–MIT Foundation, by the Department of Energy under cooperative research agreement DE-FC02-94ER40818, and by the National Security Agency and Advanced Research and Development Activity under Army Research Office contract DAAD19-01-1-0656.

Funders:

Funding Agency	Grant Number
Fannie and John Hertz Foundation	UNSPECIFIED
National Security Agency (NSA)/Army Research Office (ARO)	DAAG55-98-C-0041
NSF	EIA-0086038
Cambridge-MIT Foundation	UNSPECIFIED
Department of Energy (DOE)	DE-FC02-94ER40818
National Security Agency and Advanced Research and Development/Army Research Office (ARO)	DAAD19-01-1-0656

Subject Keywords:

entanglement generation; capacities

Issue or Number:

Classification Code:

PACS: 03.67.-a, 03.65.Ud, 03.67.Hk

DOI:

10.48550/arXiv.0207052

Record Number:

CaltechAUTHORS:20111026-075621231

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20111026-075621231

Official Citation:

Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions (pp 97-105) A.M. Childs, D.W. Leung, F. Verstrarte, and G. Vidal

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No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

27432

Collection:

CaltechAUTHORS

Deposited By:

Ruth Sustaita

Deposited On:

26 Oct 2011 15:35

Last Modified:

01 Jun 2023 23:56

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