Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule

The Born rule, a foundational axiom used to deduce probabilities of events from wavefunctions, is indispensable in the everyday practice of quantum physics. It is also key in the quest to reconcile the ostensibly inconsistent laws of the quantum and classical realms, as it confers physical significa...

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Main Authors: Jérémie Harris, Frédéric Bouchard, Enrico Santamato, Wojciech H Zurek, Robert W Boyd, Ebrahim Karimi
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/5/053013
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author Jérémie Harris
Frédéric Bouchard
Enrico Santamato
Wojciech H Zurek
Robert W Boyd
Ebrahim Karimi
author_facet Jérémie Harris
Frédéric Bouchard
Enrico Santamato
Wojciech H Zurek
Robert W Boyd
Ebrahim Karimi
author_sort Jérémie Harris
collection DOAJ
description The Born rule, a foundational axiom used to deduce probabilities of events from wavefunctions, is indispensable in the everyday practice of quantum physics. It is also key in the quest to reconcile the ostensibly inconsistent laws of the quantum and classical realms, as it confers physical significance to reduced density matrices, the essential tools of decoherence theory. Following Bohr’s Copenhagen interpretation, textbooks postulate the Born rule outright. However, recent attempts to derive it from other quantum principles have been successful, holding promise for simplifying and clarifying the quantum foundational bedrock. A major family of derivations is based on envariance, a recently discovered symmetry of entangled quantum states. Here, we identify and experimentally test three premises central to these envariance-based derivations, thus demonstrating, in the microworld, the symmetries from which the Born rule is derived. Further, we demonstrate envariance in a purely local quantum system, showing its independence from relativistic causality.
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spelling doaj.art-ffeb0107172d4c99810ed1fb5f704bed2023-08-08T14:32:04ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118505301310.1088/1367-2630/18/5/053013Quantum probabilities from quantum entanglement: experimentally unpacking the Born ruleJérémie Harris0Frédéric Bouchard1Enrico Santamato2Wojciech H Zurek3Robert W Boyd4Ebrahim Karimi5Department of Physics, University of Ottawa , 25 Templeton, Ottawa, Ontario, K1N 6N5 Canada; The Max Planck Centre for Extreme and Quantum Photonics, University of Ottawa , Ottawa, Ontario, K1N 6N5, CanadaDepartment of Physics, University of Ottawa , 25 Templeton, Ottawa, Ontario, K1N 6N5 Canada; The Max Planck Centre for Extreme and Quantum Photonics, University of Ottawa , Ottawa, Ontario, K1N 6N5, CanadaDipartimento di Fisica, Università di Napoli Federico II , Compl. Univ. di Monte S. Angelo, via Cintia, I-80126 Napoli, ItalyTheoretical Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USADepartment of Physics, University of Ottawa , 25 Templeton, Ottawa, Ontario, K1N 6N5 Canada; The Max Planck Centre for Extreme and Quantum Photonics, University of Ottawa , Ottawa, Ontario, K1N 6N5, Canada; Institute of Optics, University of Rochester , Rochester, New York, 14627, USADepartment of Physics, University of Ottawa , 25 Templeton, Ottawa, Ontario, K1N 6N5 Canada; The Max Planck Centre for Extreme and Quantum Photonics, University of Ottawa , Ottawa, Ontario, K1N 6N5, Canada; Department of Physics, Institute for Advanced Studies in Basic Sciences , 45137-66731 Zanjan, IranThe Born rule, a foundational axiom used to deduce probabilities of events from wavefunctions, is indispensable in the everyday practice of quantum physics. It is also key in the quest to reconcile the ostensibly inconsistent laws of the quantum and classical realms, as it confers physical significance to reduced density matrices, the essential tools of decoherence theory. Following Bohr’s Copenhagen interpretation, textbooks postulate the Born rule outright. However, recent attempts to derive it from other quantum principles have been successful, holding promise for simplifying and clarifying the quantum foundational bedrock. A major family of derivations is based on envariance, a recently discovered symmetry of entangled quantum states. Here, we identify and experimentally test three premises central to these envariance-based derivations, thus demonstrating, in the microworld, the symmetries from which the Born rule is derived. Further, we demonstrate envariance in a purely local quantum system, showing its independence from relativistic causality.https://doi.org/10.1088/1367-2630/18/5/053013Born probability ruleenvarianceoptical angular momentum
spellingShingle Jérémie Harris
Frédéric Bouchard
Enrico Santamato
Wojciech H Zurek
Robert W Boyd
Ebrahim Karimi
Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule
New Journal of Physics
Born probability rule
envariance
optical angular momentum
title Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule
title_full Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule
title_fullStr Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule
title_full_unstemmed Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule
title_short Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule
title_sort quantum probabilities from quantum entanglement experimentally unpacking the born rule
topic Born probability rule
envariance
optical angular momentum
url https://doi.org/10.1088/1367-2630/18/5/053013
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