Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions

Creators: Childs, Andrew M.; Leung, Debbie W.; Verstraete, Frank; Vidal, Guifré

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.

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.

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