30 December 2016 Quantum-classical crossover in quantum walks mixing time
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Proceedings Volume 10224, International Conference on Micro- and Nano-Electronics 2016; 102242M (2016) https://doi.org/10.1117/12.2267246
Event: The International Conference on Micro- and Nano-Electronics 2016, 2016, Zvenigorod, Russian Federation
Abstract
Continuous-time quantum walks on a cycle graph are analyzed in the presence of decoherence. The electron evolution in the nanostructure composed of ring of tunnel-coupled semiconductor quantum dots is considered as realistic model for quantum walks on a cycle graph. Quantum-classical crossover from fast quantum dynamics to classical diffusive behavior is observed as decoherence rate parameter grows. The dependence of transition decoherence rate and mixing time versus size of the graph are studied both analytically and numerically.
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Leonid Fedichkin, Fedor Meshchaninov, "Quantum-classical crossover in quantum walks mixing time", Proc. SPIE 10224, International Conference on Micro- and Nano-Electronics 2016, 102242M (30 December 2016); doi: 10.1117/12.2267246; https://doi.org/10.1117/12.2267246
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