Witnessing causal nonseparability

Our common understanding of the physical world deeply relies on the notion that events are ordered with respect to some time parameter, with past events serving as causes for future ones. Nonetheless, it was recently found that it is possible to formulate quantum mechanics without any reference to a...

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Main Authors: Mateus Araújo, Cyril Branciard, Fabio Costa, Adrien Feix, Christina Giarmatzi, Časlav Brukner
Format: Article
Language:English
Published: IOP Publishing 2015-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/17/10/102001
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author Mateus Araújo
Cyril Branciard
Fabio Costa
Adrien Feix
Christina Giarmatzi
Časlav Brukner
author_facet Mateus Araújo
Cyril Branciard
Fabio Costa
Adrien Feix
Christina Giarmatzi
Časlav Brukner
author_sort Mateus Araújo
collection DOAJ
description Our common understanding of the physical world deeply relies on the notion that events are ordered with respect to some time parameter, with past events serving as causes for future ones. Nonetheless, it was recently found that it is possible to formulate quantum mechanics without any reference to a global time or causal structure. The resulting framework includes new kinds of quantum resources that allow performing tasks—in particular, the violation of causal inequalities —which are impossible for events ordered according to a global causal order. However, no physical implementation of such resources is known. Here we show that a recently demonstrated resource for quantum computation—the quantum switch —is a genuine example of ‘indefinite causal order’. We do this by introducing a new tool—the causal witness —which can detect the causal nonseparability of any quantum resource that is incompatible with a definite causal order. We show however that the quantum switch does not violate any causal inequality.
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spelling doaj.art-0da504adc80946d2849c66802a6368cc2023-08-08T14:21:14ZengIOP PublishingNew Journal of Physics1367-26302015-01-01171010200110.1088/1367-2630/17/10/102001Witnessing causal nonseparabilityMateus Araújo0Cyril Branciard1Fabio Costa2Adrien Feix3Christina Giarmatzi4Časlav Brukner5Faculty of Physics, University of Vienna , Boltzmanngasse 5, A-1090 Vienna, Austria; Institute for Quantum Optics and Quantum Information (IQOQI) , Boltzmanngasse 3, A-1090 Vienna, AustriaInstitut Néel, CNRS and Université Grenoble Alpes , F-38042 Grenoble Cedex 9, FranceFaculty of Physics, University of Vienna , Boltzmanngasse 5, A-1090 Vienna, Austria; Institute for Quantum Optics and Quantum Information (IQOQI) , Boltzmanngasse 3, A-1090 Vienna, Austria; Centre for Engineered Quantum Systems, School of Mathematics and Physics, The University of Queensland , St Lucia, QLD 4072, AustraliaFaculty of Physics, University of Vienna , Boltzmanngasse 5, A-1090 Vienna, Austria; Institute for Quantum Optics and Quantum Information (IQOQI) , Boltzmanngasse 3, A-1090 Vienna, AustriaCentre for Engineered Quantum Systems, School of Mathematics and Physics, The University of Queensland , St Lucia, QLD 4072, Australia; Centre for Quantum Computer and Communication Technology, School of Mathematics and Physics, University of Queensland , Brisbane, QLD 4072, AustraliaFaculty of Physics, University of Vienna , Boltzmanngasse 5, A-1090 Vienna, Austria; Institute for Quantum Optics and Quantum Information (IQOQI) , Boltzmanngasse 3, A-1090 Vienna, AustriaOur common understanding of the physical world deeply relies on the notion that events are ordered with respect to some time parameter, with past events serving as causes for future ones. Nonetheless, it was recently found that it is possible to formulate quantum mechanics without any reference to a global time or causal structure. The resulting framework includes new kinds of quantum resources that allow performing tasks—in particular, the violation of causal inequalities —which are impossible for events ordered according to a global causal order. However, no physical implementation of such resources is known. Here we show that a recently demonstrated resource for quantum computation—the quantum switch —is a genuine example of ‘indefinite causal order’. We do this by introducing a new tool—the causal witness —which can detect the causal nonseparability of any quantum resource that is incompatible with a definite causal order. We show however that the quantum switch does not violate any causal inequality.https://doi.org/10.1088/1367-2630/17/10/102001quantum informationcausalityquantum foundations
spellingShingle Mateus Araújo
Cyril Branciard
Fabio Costa
Adrien Feix
Christina Giarmatzi
Časlav Brukner
Witnessing causal nonseparability
New Journal of Physics
quantum information
causality
quantum foundations
title Witnessing causal nonseparability
title_full Witnessing causal nonseparability
title_fullStr Witnessing causal nonseparability
title_full_unstemmed Witnessing causal nonseparability
title_short Witnessing causal nonseparability
title_sort witnessing causal nonseparability
topic quantum information
causality
quantum foundations
url https://doi.org/10.1088/1367-2630/17/10/102001
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AT cyrilbranciard witnessingcausalnonseparability
AT fabiocosta witnessingcausalnonseparability
AT adrienfeix witnessingcausalnonseparability
AT christinagiarmatzi witnessingcausalnonseparability
AT caslavbrukner witnessingcausalnonseparability