Asymptotic entanglement capacity of the ising and anisotropic Heisenberg interactions

Authors:
Andrew M. Childs;Debbie W. Leung;Frank Verstraete;Guifré Vidal
Affiliations:
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA and IBM T. J. Watson Research Center, Yorktown Heights, NY;IBM T. J. Watson Research Center, Yorktown Heights, NY;SISTA, ESAT, Department of Electrical Engineering, University of Leuven, Belgium;Institute for Quantum Information, California Institute of Technology, Pasadena, CA
Venue:
Quantum Information & Computation
Year:
2003

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Abstract

We calculate the asymptotic entanglement capacity of the Ising interaction σz ⊗ σz, the anisotropic Heisenberg interaction σx ⊗ σx + σy ⊗ σy, and more generally, any two-qubit Hamiltonian with canonical form K = µx σx ⊗ σx + µy σy ⊗ σy. We also describe an entanglement assisted classical communication protocol using the Hamiltonian K with rate equal to the asymptotic entanglement capacity.