Decoherence of two qubit systems: A random matrix description

Details Decoherence of two qubit systems: A random matrix description Decoherence of two qubit systems: A random matrix description

2007-02-15

arxiv.org/abs/quant-ph/0702161v1

New J. Phys. 9, 106,(2007)

Physics

Quantum Physics

32 pages, 11 figures

Scientific paper

10.1088/1367-2630/9/4/106

We study decoherence of two non-interacting qubits. The environment and its interaction with the qubits are modelled by random matrices. Decoherence, measured in terms of purity, is calculated in linear response approximation. Monte Carlo simulations illustrate the validity of this approximation and of its extension by exponentiation. The results up to this point are also used to study one qubit decoherence. Purity decay of entangled and product states are qualitatively similar though for the latter case it is slower. Numerical studies for a Bell pair as initial state reveal a one to one correspondence between its decoherence and its internal entanglement decay. For strong and intermediate coupling to the environment this correspondence agrees with the one for Werner states. In the limit of a large environment the evolution induces a unital channel in the two qubits, providing a partial explanation for the relation above.

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