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

Journal Article · · New Journal of Physics
 [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)

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1258014
Report Number(s):
LA-UR-15-25060
Journal Information:
New Journal of Physics, Vol. 18, Issue 5; ISSN 1367-2630
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

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Cited By (5)

Foundations of statistical mechanics from symmetries of entanglement journal June 2016
Quantum theory of the classical: quantum jumps, Born’s Rule and objective classical reality via quantum Darwinism journal May 2018
High-dimensional quantum cloning and applications to quantum hacking journal February 2017
High-dimensional quantum cloning and applications to quantum hacking preprint January 2016
Quantum Theory of the Classical: Quantum Jumps, Born's Rule, and Objective Classical Reality via Quantum Darwinism text January 2018

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