Non-Markovianity of colored noisy channels

Abstract

We address the non-Markovian character of quantum maps describing the interaction of a qubit with a random classical field. In particular, we evaluate trace- and capacity-based non-Markovianity measures for two relevant classes of environments showing non-Gaussian fluctuations, described respectively by random telegraph noise and colored noise with spectra of the the form $1/f^{\alpha }$. We analyze the dynamics of both the trace distance and the quantum capacity, and show that the behavior of non-Markovianity based on both measures is qualitatively similar. Our results show that environments with a spectrum that contains a relevant low-frequency contribution are generally non-Markovian. We also find that the non-Markovianity of colored environments decreases when the number of fluctuators realizing the environment increases.

9 pages, 5 figures

References in corpus (22)

• Assessing non-Markovian dynamics
• Geometrical characterization of non-Markovianity
• Dynamics of quantum correlations in two-qubit systems within non-Markovian environments
• Model for l/f Flux Noise in SQUIDs and Qubits
• Low-frequency noise as a source of dephasing of a qubit
• Dephasing of a superconducting flux qubit
• Decoherence in qubits due to low-frequency noise
• Dynamics of quantum correlations in colored environments
• Exciton-phonon information flow in the energy transfer process of photosynthetic complexes
• Quantum Capacity of a dephasing channel with memory
• Quantification of memory effects in the spin-boson model
• Spin chains and channels with memory
• Effects of classical environmental noise on entanglement and quantum discord
• Entanglement dynamics in superconducting qubits affected by local bistable impurities
• Decoherence of a qubit by non-Gaussian noise at an arbitrary working point
• A classical appraisal of quantum definitions of non-Markovian dynamics
• Low-frequency Noise in Josephson Junctions for Superconducting Qubits
• Decoherence of a qubit due to a quantum fluctuator or to a classical telegraph noise
• Effect of Markov and Non-Markov Classical Noise on Entanglement Dynamics
• Comparison of non-Markovianity criteria in a qubit system under random external fields
• Many body physics and the capacity of quantum channels with memory
• Structured environments in solid state systems: crossover from Gaussian to non-Gaussian behavior

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