Related papers: Temperature of the three-state quantum walk

Temperature of the three-state quantum walk

URL: http://arxiv.org/abs/2012.07904v2
Date: Fri, 18 Dec 2020 18:32:50 GMT
Title: Temperature of the three-state quantum walk
Authors: Luisa Toledo Tude and Marcos C. de Oliveira
Abstract summary: Despite the coined quantum walk being a closed quantum system under a unitary evolution, its space can be divided in two sub-spaces. We calculate the reduced density matrix of the coin space of the three-state quantum walk in an infinite line.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Despite the coined quantum walk being a closed quantum system under a unitary evolution, its Hilbert space can be divided in two sub-spaces, which makes it possible for one to analyze one of the subsystems (the coin or the walker) as an open system in contact with a reservoir. In the present work we calculate the asymptotic reduced density matrix of the coin space of the three-state quantum walk in an infinite line, and use that result to analyze the entanglement between the chirality, and position space. We calculate the von Neumann entropy and the entanglement temperature per mean energy of the system in the asymptotic limit.

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