Completely-Positive Non-Markovian Decoherence

Abstract

We propose an effective Hamiltonian approach to investigate decoherence of a quantum system in a non-Markovian reservoir, naturally imposing the complete positivity on the reduced dynamics of the system. The formalism is based on the notion of an effective reservoir, i.e., certain collective degrees of freedom in the reservoir that are responsible for the decoherence. As examples for completely positive decoherence, we present three typical decoherence processes for a qubit such as dephasing, depolarizing, and amplitude-damping. The effects of the non-Markovian decoherence are compared to the Markovian decoherence.

8 pages, 1 figure

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• Vacuum as a less hostile environment to entanglement
• Dependence of the decoherence of polarization states in phase-damping channels on the frequency spectrum envelope of photons
• Decoherence: From Interpretation to Experiment
• Two definitions of the Gell-Mann channels - a comparative analysis
• One, Two, and $n$ Qubit Decoherence