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International Journal of Theoretical Physics

Dynamical Suppression of Decoherence and Protection of Quantum Coherence Between Superconducting Flux Qubits in 1/f Noise Environments by Bang-Bang Pulses

Chun-Yao Liu, Chun-Yan Wu, Yongjun Xiao, Qi-Liang He

Published Jan 1, 2022• 0 citations
Publisher
DOI
10.1007/s10773-022-05004-1

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In the propagation of optical pulses through dispersive media, the frequency degree of freedom acts as an effective decohering environment on the polarization state of the pulse. Here we discuss the application of open-loop dynamical-decoupling techniques for suppressing such a polarization decoherence in one-way communication channels. We describe in detail the experimental proof of principle of the ``bang-bang'' protection technique recently applied to flying qubits in Damodarakurup et al. [Phys. Rev. Lett. 103, 040502 (2009)]. Bang-bang operations are implemented through appropriately oriented wave plates and dynamical decoupling is shown to be potentially useful to contrast a generic decoherence acting on polarization qubits propagating in dispersive media like optical fibers.
In recent years the interest in the manipulation of quantum systems has furthered new strategies for maintaining their coherence, continuously threatened by unwanted and uncontrollable interactions with the environment. Photons interact weakly with the surroundings. Even so decoherence may significantly affect their polarization state during the propagation within dispersive media because of the unavoidable presence of more than a single frequency in the envelope of the photon pulse. Here we report on a suppression of the polarization decoherence in a ring cavity obtained by properly retooling for the photon qubit the "bang-bang" protection technique already employed for nuclear spins and nuclear-quadrupole qubits. Our results show that bang-bang control can be profitably extended to all quantum information processes involving flying polarization qubits.
It is shown that a nonequilibrium environment can be instrumental in suppressing decoherence between distinct decoherence-free subspaces in quantum registers. The effect is found in the framework of exact coherent-product solutions for model registers decohering in a bath of degenerate harmonic modes, through couplings linear in bath coordinates. These solutions represent a natural nonequilibrium extension of the standard solution for a decoupled initial register state and a thermal environment. Under appropriate conditions, the corresponding reduced register distribution can propagate in an unperturbed manner, even in the presence of entanglement between states belonging to distinct decoherence-free subspaces, and despite persistent bath entanglement. As a byproduct, we also obtain a refined picture of coherence dynamics under bang-bang decoherence control. In particular, it is shown that each radio-frequency pulse in a typical bang-bang cycle induces a revival of coherence, and that these revivals are exploited in a natural way by the time-symmetrized version of the bang-bang protocol.