Extreme depolarization for any spin

The opportunity to build quantum technologies operating with elementary quantum systems with more than two levels is now increasingly being examined, not least because of the availability of such systems in the laboratory. It is therefore essential to understand how these single systems initially in...

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Main Authors: Jérôme Denis, John Martin
Format: Article
Language:English
Published: American Physical Society 2022-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.013178
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author Jérôme Denis
John Martin
author_facet Jérôme Denis
John Martin
author_sort Jérôme Denis
collection DOAJ
description The opportunity to build quantum technologies operating with elementary quantum systems with more than two levels is now increasingly being examined, not least because of the availability of such systems in the laboratory. It is therefore essential to understand how these single systems initially in highly nonclassical states decohere on different timescales due to their coupling with the environment. In this work, we consider the depolarization, both isotropic and anisotropic, of a quantum spin of arbitrary spin quantum number j and focus on the study of the most superdecoherent states. We approach this problem from the perspective of the collective dynamics of a system of N=2j constituent spin 1/2, initially in a symmetric state, undergoing collective depolarization. This allows us to use the powerful language of quantum information theory to analyze the fading of quantum properties of spin states caused by depolarization. In this framework, we establish a pre- cise link between superdecoherence and entanglement. We present extensive numerical results on the scaling of the entanglement survival time with the Hilbert space dimension for collective depolarization. We also highlight the specific role played by anticoherent spin states and show how their Markovian isotropic depolarization alone can lead to the generation of bound entangled states.
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spelling doaj.art-5cd1533a87f9471b85dc710985acabc42024-04-12T17:18:41ZengAmerican Physical SocietyPhysical Review Research2643-15642022-03-014101317810.1103/PhysRevResearch.4.013178Extreme depolarization for any spinJérôme DenisJohn MartinThe opportunity to build quantum technologies operating with elementary quantum systems with more than two levels is now increasingly being examined, not least because of the availability of such systems in the laboratory. It is therefore essential to understand how these single systems initially in highly nonclassical states decohere on different timescales due to their coupling with the environment. In this work, we consider the depolarization, both isotropic and anisotropic, of a quantum spin of arbitrary spin quantum number j and focus on the study of the most superdecoherent states. We approach this problem from the perspective of the collective dynamics of a system of N=2j constituent spin 1/2, initially in a symmetric state, undergoing collective depolarization. This allows us to use the powerful language of quantum information theory to analyze the fading of quantum properties of spin states caused by depolarization. In this framework, we establish a pre- cise link between superdecoherence and entanglement. We present extensive numerical results on the scaling of the entanglement survival time with the Hilbert space dimension for collective depolarization. We also highlight the specific role played by anticoherent spin states and show how their Markovian isotropic depolarization alone can lead to the generation of bound entangled states.http://doi.org/10.1103/PhysRevResearch.4.013178
spellingShingle Jérôme Denis
John Martin
Extreme depolarization for any spin
Physical Review Research
title Extreme depolarization for any spin
title_full Extreme depolarization for any spin
title_fullStr Extreme depolarization for any spin
title_full_unstemmed Extreme depolarization for any spin
title_short Extreme depolarization for any spin
title_sort extreme depolarization for any spin
url http://doi.org/10.1103/PhysRevResearch.4.013178
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