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arXiv:1712.09486 · Quantum Information Processing

Coherent dynamics of a qubit–oscillator system in a noisy environment

Wei Wu, Jun-Qing Cheng

Published Sep 26, 2018• 10 citations
arXivHTMLPDF
DOI
10.1007/s11128-018-2071-y

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•Feb 26, 2013•0 citations
We study the exact dynamics of optical qubits encoded via coherent states with opposite phases which are interacting with an environment modeled as a collection of simple harmonic oscillators. Making use of a coherent-state path-integral formulation, we are able to study memory effects on the dynamics of the coherent-state qubits due to strong environment coupling. We apply this formulation to examine the time evolution of a noisy quantum channel formed by two coherent-state qubits that are subject to uncorrelated local environment noises. In particular, we examine the time evolution of entanglement and maximal teleportation fidelity of the noisy quantum channel and show that at strong coupling, due to large feedback effects from the environment noise, it is possible to maintain a robust quantum channel in the long-time limit if an appropriate error-correcting code is applied.
We investigate the long-lived quantum coherence in the non-Markovian process of spontaneous decay of a two-qubit system subject to a local environment. The asymptotic population of the qubit is linked to the spectral density of the reservoir through a general functional relation between them. The dissipationless behavior of asymptotic processes, including the steady coherent dynamics with self-sustained oscillations and ultimate persistence of quantum correlations, are elaborated with respect to spectral parameters of the specified reservoirs, e.g., the Ohmic class and the photonic crystal. We expect these results to contribute towards reservoir engineering with the aim of enhancing stationary quantum coherence in noisy environments.