Exact solution of qubit decoherence models by a transfer matrix method

Details Exact solution of qubit decoherence models by a transfer matrix method Exact solution of qubit decoherence models by a transfer matrix method

2005-11-03

arxiv.org/abs/quant-ph/0511021v2

Phys. Rev. A 73, 032333 (2006)

Physics

Quantum Physics

10 pages, 3 figures

Scientific paper

10.1103/PhysRevA.73.032333

We present a new method for the solution of the behavior of an ensemble of qubits in a random time-dependent external field. The forward evolution in time is governed by a transfer matrix. The elements of this matrix determine the various decoherence times. The method provides an exact solution in cases where the noise is piecewise constant in time. We show that it applies, for example, to a realistic model of decoherence of electron spins in semiconductors. Results are obtained for the non-perturbative regimes of the models, and we see a transition from weak relaxation to overdamped behavior as a function of noise anisotropy.

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