Entangling capacities of noisy two-qubit Hamiltonians

Journal Article · Thu Jul 01 00:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.010301· OSTI ID:20643843

Bandyopadhyay, Somshubhro; Lidar, Daniel A ^[1]

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1. Chemical Physics Theory Group, Department of Chemistry, 80 St. George St., University of Toronto, Center for Quantum Information and Quantum Control, Toronto, Ontario, M5S 3H6 (Canada)

We study the limits imposed by intrinsic fluctuations in system-control parameters on the ability of two-qubit (exchange) Hamiltonians to generate entanglement, starting from arbitrary 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.

• OSTI ID: 20643843
• Journal Information: Physical Review. A, Vol. 70, Issue 1; Other Information: DOI: 10.1103/PhysRevA.70.010301; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CAPACITY
CONTROL
CORRECTIONS
CORRELATIONS
ENERGY LEVELS
ERRORS
FLUCTUATIONS
HAMILTONIANS
HEISENBERG MODEL
INFORMATION THEORY
ISING MODEL
LAPLACIAN
NOISE
QUANTUM MECHANICS