Entangling capacities of noisy two-qubit Hamiltonians

Abstract

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.

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

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• Decoherence effects in interacting qubits under the influence of various environments
• Robustness of multi-qubit entanglement in the independent decoherence model
• Experimental investigation of enviroment--induced entanglement using an all--optical setup
• Bright and Dark periods in the Entanglement Dynamics of Interacting Qubits in Contact with the Environment
• Universal Dephasing Control During Quantum Computation
• Atomic entanglement sudden death in a strongly driven cavity QED system
• Stability of Pairwise Entanglement in a Decoherent Environment
• Alternative Experimental Protocol for a PBR-Like Result
• Bipartite nonlocality with a many-body system
• Optimal entanglement witnesses in a split spin-squeezed Bose-Einstein condensate
• Swap Action in a Solid-State Controllable Anisotropic Heisenberg Model
• Simulation of interaction Hamiltonians by quantum feedback: a comment on the dynamics of information exchange between coupled systems
• Entanglement rates for bipartite open systems