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Title: Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule

Abstract

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. But, recent attempts to derive it from other quantum principles have been successful, holding promise for simplifying and clarifying the quantum foundational bedrock. Moreover, 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. Furthermore, we demonstrate envariance in a purely local quantum system, showing its independence from relativistic causality.

Authors:
 [1];  [1];  [2];  [3];  [4];  [5]
  1. Univ. of Ottawa, ON (Canada)
  2. Univ. of Naples Federico II (Italy)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Univ. of Ottawa, ON (Canada); Univ. of Rochester, NY (United States)
  5. Univ. of Ottawa, ON (Canada); Inst. for Advanced Studies in Basic Sciences, Zanjan (Iran)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1258014
Report Number(s):
LA-UR-15-25060
Journal ID: ISSN 1367-2630
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 18; Journal Issue: 5; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Atomic and Nuclear Physics

Citation Formats

Harris, Jérémie, Bouchard, Frédéric, Santamato, Enrico, Zurek, Wojciech H., Boyd, Robert W., and Karimi, Ebrahim. Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule. United States: N. p., 2016. Web. doi:10.1088/1367-2630/18/5/053013.
Harris, Jérémie, Bouchard, Frédéric, Santamato, Enrico, Zurek, Wojciech H., Boyd, Robert W., & Karimi, Ebrahim. Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule. United States. doi:10.1088/1367-2630/18/5/053013.
Harris, Jérémie, Bouchard, Frédéric, Santamato, Enrico, Zurek, Wojciech H., Boyd, Robert W., and Karimi, Ebrahim. Wed . "Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule". United States. doi:10.1088/1367-2630/18/5/053013. https://www.osti.gov/servlets/purl/1258014.
@article{osti_1258014,
title = {Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule},
author = {Harris, Jérémie and Bouchard, Frédéric and Santamato, Enrico and Zurek, Wojciech H. and Boyd, Robert W. and Karimi, Ebrahim},
abstractNote = {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. But, recent attempts to derive it from other quantum principles have been successful, holding promise for simplifying and clarifying the quantum foundational bedrock. Moreover, 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. Furthermore, we demonstrate envariance in a purely local quantum system, showing its independence from relativistic causality.},
doi = {10.1088/1367-2630/18/5/053013},
journal = {New Journal of Physics},
number = 5,
volume = 18,
place = {United States},
year = {2016},
month = {5}
}

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  • Optics Express, Vol. 17, Issue 21
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    Works referencing / citing this record:

    Quantum theory of the classical: quantum jumps, Born’s Rule and objective classical reality via quantum Darwinism
    journal, May 2018

    • Zurek, Wojciech Hubert
    • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, Issue 2123
    • DOI: 10.1098/rsta.2018.0107

    Quantum theory of the classical: quantum jumps, Born’s Rule and objective classical reality via quantum Darwinism
    journal, May 2018

    • Zurek, Wojciech Hubert
    • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, Issue 2123
    • DOI: 10.1098/rsta.2018.0107