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 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 envariancebased 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:

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^{[2]};
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 Univ. of Ottawa, ON (Canada)
 Univ. of Naples Federico II (Italy)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Univ. of Ottawa, ON (Canada); Univ. of Rochester, NY (United States)
 Univ. of Ottawa, ON (Canada); Inst. for Advanced Studies in Basic Sciences, Zanjan (Iran)
 Publication Date:
 Report Number(s):
 LAUR1525060
Journal ID: ISSN 13672630
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 New Journal of Physics
 Additional Journal Information:
 Journal Volume: 18; Journal Issue: 5; Journal ID: ISSN 13672630
 Publisher:
 IOP Publishing
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Atomic and Nuclear Physics
 OSTI Identifier:
 1258014
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.,
Web. doi:10.1088/13672630/18/5/053013.
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:10.1088/13672630/18/5/053013.
Harris, Jérémie, Bouchard, Frédéric, Santamato, Enrico, Zurek, Wojciech H., Boyd, Robert W., and Karimi, Ebrahim. 2016.
"Quantum probabilities from quantum entanglement: experimentally unpacking the Born rule". United States.
doi:10.1088/13672630/18/5/053013. 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 envariancebased 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 = {10.1088/13672630/18/5/053013},
journal = {New Journal of Physics},
number = 5,
volume = 18,
place = {United States},
year = {2016},
month = {5}
}