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Preparation contextuality powers parity-oblivious multiplexing.

Robert W Spekkens1, D H Buzacott, A J Keehn

  • 1DAMTP, University of Cambridge, Cambridge, CB3 0WA, United Kingdom.

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|March 5, 2009
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Summary
This summary is machine-generated.

Quantum contextuality, not hidden variables, powers information tasks. Experiments confirm quantum theory violates noncontextuality inequalities, demonstrating quantum random access codes.

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Area of Science:

  • Quantum Information Science
  • Foundations of Quantum Mechanics
  • Quantum Computing

Background:

  • Noncontextual hidden variable models assume measurement outcomes are predetermined, independent of experimental setup.
  • Contextuality in quantum mechanics implies that measurement outcomes depend on the context of the measurement.
  • Operational theories provide a framework to analyze information processing beyond standard quantum theory.

Purpose of the Study:

  • To investigate the role of contextuality in information processing tasks.
  • To establish a bound on the performance of noncontextual hidden variable models for a specific task.
  • To experimentally verify the violation of a noncontextuality inequality by quantum theory.

Main Methods:

  • Generalizing noncontextual hidden variable models to arbitrary operational theories and preparation procedures.
  • Defining and analyzing the "parity-oblivious multiplexing" information-processing task.
  • Conducting experiments to test the noncontextuality inequality and demonstrate quantum random access codes.

Main Results:

  • A noncontextuality inequality was derived, bounding the performance of noncontextual theories.
  • Quantum theory was shown to violate this inequality, indicating contextuality is essential.
  • Experimental results confirmed the violation of the inequality, aligning with quantum predictions.
  • The first demonstration of 2-to-1 and 3-to-1 quantum random access codes was achieved.

Conclusions:

  • Contextuality is a fundamental resource for specific information-processing tasks, surpassing noncontextual models.
  • Quantum mechanics' inherent contextuality enables tasks impossible for noncontextual theories.
  • The experimental validation provides strong evidence for the role of contextuality and showcases advanced quantum information capabilities.