2014
DOI: 10.1088/1367-2630/16/5/055015
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Universally optimal noisy quantum walks on complex networks

Abstract: Transport properties play a crucial role in several fields of science, for example biology, chemistry, sociology, information science and physics. The behavior of many dynamical processes running over complex networks is known to be closely related to the geometry of the underlying topology, but this connection becomes even harder to understand when quantum effects come into play. Here, we exploit the Kossakowski-Lindblad formalism of quantum stochastic walks to investigate the capability of quickly and robust… Show more

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Cited by 48 publications
(89 citation statements)
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References 69 publications
(136 reference statements)
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“…A com- mon interpretation of ENAQT is that it regains (some of) the efficiency lost due to the energetic network disorder 5 . Clearly, here a combination of detuning and environmental coupling unlocks a maximal current which exceeds what is available from the archetypal idealised quantum channel 55 (i.e. a noiseless degenerate chain for end-to-end transport).…”
Section: Resultsmentioning
confidence: 99%
“…A com- mon interpretation of ENAQT is that it regains (some of) the efficiency lost due to the energetic network disorder 5 . Clearly, here a combination of detuning and environmental coupling unlocks a maximal current which exceeds what is available from the archetypal idealised quantum channel 55 (i.e. a noiseless degenerate chain for end-to-end transport).…”
Section: Resultsmentioning
confidence: 99%
“…Therefore, the possibility to experimentally reproduce NAT effects in purely optical networks with controllable parameters and topology, would allow one to verify the predictions of NAT models in simple test systems. Moreover, the investigation of the system response, when network parameters and noise characteristics are varied, would permit the optimization of specific networks towards maximum transport efficiency [19]. Recently, an optical platform consisting in a network of coupled cavities has been theoretically proposed as simulator of the basic mechanisms underlying NAT [20].…”
mentioning
confidence: 99%
“…A possible drawback of these approaches, as we explain below, is the potential physical implausibility of the perturbed models, especially when the transformations involve 'deleting' coupling terms or making uncorrelated perturbations to the Hamiltonian arXiv:1704.01795v2 [physics.chem-ph] 22 May 2017 2 matrix. Other strategies deploy abstract models of the transport system [13,19,[21][22][23]] to learn general principles from idealised 'network' models that may operate to a greater or lesser extent in realistic systems.In this Letter, we incorporate the best of the above strategies to address two key questions on the structuredynamics relationship for exciton transport: (i) which structural motifs influence exciton dynamics in typical physically-plausible multi-chromophore complexes? and (ii) do naturally occurring complexes appear to be attuned for certain transport tasks (by exploiting these motifs or otherwise)?…”
mentioning
confidence: 99%