Entangling capacities of noisy two-qubit Hamiltonians

Details Entangling capacities of noisy two-qubit Hamiltonians Entangling capacities of noisy two-qubit Hamiltonians

2003-08-01

arxiv.org/abs/quant-ph/0308014v3

Phys. Rev. A 70, 010301(R) (2004)

Physics

Quantum Physics

5 pages, incl. 2 figures. replaced with published version

Scientific paper

10.1103/PhysRevA.70.010301

We show that intrinsic fluctuations in system control parameters impose limits on the ability of two-qubit (exchange) Hamiltonians to generate entanglement starting from mixed initial states. We find three classes for Gaussian and Laplacian fluctuations. For the Ising and XYZ models there are qualitatively distinct sharp entanglement-generation transitions, while the class of Heisenberg, XY, and XXZ Hamiltonians is capable of generating entanglement for any finite noise level. Our findings imply that exchange Hamiltonians are surprisingly robust in their ability to generate entanglement in the presence of noise, thus potentially reducing the need for quantum error correction.

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