Entanglement generation between a charge qubit and its bosonic environment during pure dephasing: Dependence on the environment size

Tymoteusz Salamon and Katarzyna Roszak
Phys. Rev. A 96, 032333 – Published 22 September 2017

Abstract

We study entanglement generated between a charge qubit and a bosonic bath due to their joint evolution which leads to pure dephasing of the qubit. We tune the parameters of the interaction, so that the decoherence is quantitatively independent of the number of bosonic modes taken into account and investigate how the entanglement generated depends on the size of the environment. A second parameter of interest is the mixedness of the initial state of the environment which is controlled by temperature. We show analytically that for a pure initial state of the environment, entanglement does not depend on environment size. For mixed initial states of the environment, the generated entanglement decreases with the increase of environment size. This effect is stronger for larger temperatures, when the environment is initially more mixed, but in the limit of an infinitely large environment, no entanglement is created at any finite temperature.

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  • Received 9 May 2017

DOI:https://doi.org/10.1103/PhysRevA.96.032333

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Tymoteusz Salamon and Katarzyna Roszak

  • Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, 50-370 Wrocław, Poland

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Issue

Vol. 96, Iss. 3 — September 2017

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