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Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits

Author

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  • M. Merkli
  • G. P. Berman
  • I. M. Sigal

Abstract

We describe our recent results on the resonant perturbation theory of decoherence and relaxation for quantum systems with many qubits. The approach represents a rigorous analysis of the phenomenon of decoherence and relaxation for general N -level systems coupled to reservoirs of bosonic fields. We derive a representation of the reduced dynamics valid for all times 𠑡 ≥ 0 and for small but fixed interaction strength. Our approach does not involve master equation approximations and applies to a wide variety of systems which are not explicitly solvable.

Suggested Citation

  • M. Merkli & G. P. Berman & I. M. Sigal, 2010. "Resonant Perturbation Theory of Decoherence and Relaxation of Quantum Bits," Advances in Mathematical Physics, Hindawi, vol. 2010, pages 1-20, May.
    • Handle: RePEc:hin:jnlamp:169710
    DOI: 10.1155/2010/169710
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