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Quantum Information Processing

Transfer of quantum states through a disordered channel with exponentially decaying couplings

F. J. Araujo Filho, Renato Ferreira Dutra, Isais Florante Santos, M. L. Lyra, G. M. A. Almeida, F. A. B. F. de Moura

Published Aug 28, 2023• 2 citations
Publisher
DOI
10.1007/s11128-023-04083-1

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We analyze how memory in disorder facilitates quantum communication in many-body scar systems. We consider three distinct types of disorder, viz., memoryful, and memoryless uniform and Gaussian, and compare their respective performances in facilitating quantum state transfer. Using the maximum transfer fidelity and fidelity area as figures of merit, we find that memoryful disorder yields a better performance than the memoryless disordered channels. Furthermore, the maximum transfer fidelity exhibits an initial parabolic decay with disorder strength, followed by a linear decrease, for all the disorder models considered. We introduce a degree of scarness, and show that it is higher for memoryful disorder in comparison to memoryless disorders, implying a role of scarness in the quantum state transfer protocol. We further perform a scaling analysis, revealing that memory effect in disorder is not only beneficial for short-distance but also long-distance quantum state transfer. Finally, we show that the state yielding the maximum transfer fidelity has larger inverse participation ratio for memoryful disorder in comparison to the other two disorders, highlighting the role of nonergodicity in enhancing state transfer.
Abstract The single-photon transfer efficiency of a disordered LH1-RC complex was investigated. In contrast to uniform couplings, photon-ring coupling disorder significantly suppressed the transfer efficiency within a finite photon-detuning range, while intra-ring coupling disorder had a negligible effect. The lifetimes of the photon, ring excitation, and acceptor-site excitation were also numerically determined. It was found that the minimum in the transfer efficiency for photon-ring disorder decreased exponentially with increasing disorder strength, and was associated with the shortest lifetimes and the absence of a dark-state channel. A phonon dephasing bath decreased the transfer efficiency, except in the near-resonant detuning region where it was enhanced in the presence of photon-ring disorder.
Anderson localization is a consequence of coherent interference of multiple scattering events in the presence of disorder, which leads to an exponential suppression of the transmission. The decay of the transmission is typically probed at a given energy or frequency. Here we show that this decay affects the dynamics of a qubit coupled to the disordered system and we express the relaxation rate of the qubit in terms of the localization properties. Conversely, adding static disorder to a channel coupled to a qubit will reduce the decoherence rate of the qubit. Hence, when designing electrodes that couple to qubits, it is possible to improve their performance by adding impurities to the channel.