Resonant perturbation theory of decoherence and relaxation of quantum bits. (English) Zbl 1201.81078
Summary: 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 \(t\geq 0\) 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.
MSC:
| 81S22 | Open systems, reduced dynamics, master equations, decoherence |
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81Q15 | Perturbation theories for operators and differential equations in quantum theory |
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