Continuous-time quantum walk of two interacting fermions on a cycle graph

Alexey A. Melnikov; Leonid E. Fedichkin

doi:10.1117/12.2267094

30 December 2016 Continuous-time quantum walk of two interacting fermions on a cycle graph

Alexey A. Melnikov, Leonid E. Fedichkin

Proceedings Volume 10224, International Conference on Micro- and Nano-Electronics 2016; 102242L (2016) https://doi.org/10.1117/12.2267094
Event: The International Conference on Micro- and Nano-Electronics 2016, 2016, Zvenigorod, Russian Federation

Abstract

We study a continuous-time quantum walk of interacting fermions on a cycle graph. By finding analytical solutions and simulating the dynamics of two fermions we observe a diverse structure of entangled states of indistinguishable fermions. The relation between entanglement of distinguishable qutrits and indistinguishable electrons is observed. Restrictions imposed by the symmetry of a cycle graph are derived. Possible realization of a quantum walk in an array of semiconductor quantum dots is discussed.

Citation Download Citation

Alexey A. Melnikov and Leonid E. Fedichkin "Continuous-time quantum walk of two interacting fermions on a cycle graph", Proc. SPIE 10224, International Conference on Micro- and Nano-Electronics 2016, 102242L (30 December 2016); https://doi.org/10.1117/12.2267094

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