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Hitting time for quantum walks of identical particles
Author(s): Alexey A. Melnikov; Aleksandr P. Alodjants; Leonid E. Fedichkin
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Paper Abstract

Quantum particles are known to be faster than classical when they propagate stochastically on certain graphs. A time needed for a particle to reach a target node on a distance, the hitting time, can be exponentially less for quantum walks than for classical random walks. It is however not known how fast would interacting quantum particles propagate on different graphs. Here we present our results on hitting times for quantum walks of identical particles on cycle graphs, and relate the results to our previous findings on the usefulness of identical interacting particles in quantum information theory. We observe that interacting fermions traverse cycle graphs faster than non-interacting fermions. We show that the rate of propagation is related to fermionic entanglement: interacting fermions keep traversing the cycle graph as long as their entanglement grows. Our results demonstrate the role of entanglement in quantum particles propagation. These results are of importance for understanding quantum transport properties of identical particles.

Paper Details

Date Published: 15 March 2019
PDF: 8 pages
Proc. SPIE 11022, International Conference on Micro- and Nano-Electronics 2018, 110222J (15 March 2019); doi: 10.1117/12.2521982
Show Author Affiliations
Alexey A. Melnikov, Institute of Physics and Technology, RAS (Russian Federation)
ITMO Univ. (Russian Federation)
Aleksandr P. Alodjants, ITMO Univ. (Russian Federation)
Leonid E. Fedichkin, Institute of Physics and Technology, RAS (Russian Federation)
NIX (Russian Federation)
Moscow Institute of Physics and Technology (Russian Federation)


Published in SPIE Proceedings Vol. 11022:
International Conference on Micro- and Nano-Electronics 2018
Vladimir F. Lukichev; Konstantin V. Rudenko, Editor(s)

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