Abstract
We investigate the relationship between non-Markovianity and the effectiveness of a dynamical decoupling (DD) protocol for qubits undergoing pure dephasing. We consider an exact model in which dephasing arises due to a bosonic environment with a spectral density of the Ohmic class. This is parametrized by an Ohmicity parameter by changing which we can model both Markovian and non-Markovian environments. Interestingly, we find that engineering a non-Markovian environment is detrimental to the efficiency of the DD scheme, leading to a worse coherence preservation. We show that each DD pulse reverses the flow of quantum information and, on this basis, we investigate the connection between DD efficiency and the reservoir spectral density. Finally, in the spirit of reservoir engineering, we investigate the optimum system-reservoir parameters for achieving maximum stationary coherences.
Highlights
Dynamical decoupling (DD) techniques for open quantum systems are among the most successful methods to suppress decoherence in qubit systems [1, 2]
This is because we aim to study the efficiency of the DD scheme in connection to a property of the dynamical map, along the lines of what it is done when introducing non-Markovianity measures
Our results provide indications on how one should engineer an environment which is optimal for DD techniques
Summary
Any further distribution of which dephasing arises due to a bosonic environment with a spectral density of the Ohmic class. This this work must maintain attribution to the is parametrized by an Ohmicity parameter by changing which we can model both Markovian and author(s) and the title of the work, journal citation non-Markovian environments. We find that engineering a non-Markovian environment and DOI. We show that each DD pulse reverses the flow of quantum information and, on this basis, we investigate the connection between DD efficiency and the reservoir spectral density. In the spirit of reservoir engineering, we investigate the optimum system-reservoir parameters for achieving maximum stationary coherences
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