Quantum-classical crossover in quantum walks mixing time

Leonid Fedichkin; Fedor Meshchaninov

doi:10.1117/12.2267246

30 December 2016 Quantum-classical crossover in quantum walks mixing time

Leonid Fedichkin, Fedor Meshchaninov

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.

Citation Download Citation

Leonid Fedichkin and 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); https://doi.org/10.1117/12.2267246

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