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Testing contextuality on quantum ensembles with one clean qubit

O. Moussa, C. A. Ryan, D. G. Cory, R. Laflamme

arXiv:0912.0485v1quant-ph

TL;DR

Contextuality tests have been contentious for finite-precision experiments and may require special quantum states. This paper measures correlations directly on quantum ensembles using a probe qubit, then reports a contextuality-inequality violation under fair sampling.

  • Problem

    Contextuality tests have been contentious for finite-precision experiments, and prior approaches have involved creating special quantum states.

    Source: p. 1
  • Method

    The protocol uses an ancillary probe qubit to measure correlations on ensembles, choosing a maximally mixed system so only the probe qubit is clean.

    Source: p. 2
  • Results

    β = 5.2 ± 0.1, violating inequality (2); the authors interpret the ensemble experiment as revealing correlations unexplained by NCHV theory under fair sampling.

    Source: pp. 3–4
  • Takeaways & Limitations

    The protocol measures ensemble correlations without repeated projective measurements on individual systems and extends to similar inequalities on higher-dimensional systems.

    Source: p. 4

    The inequality's preparation independence requires all terms to be estimated using the same preparation.

    Source: p. 1

Abstract

from arXiv · show

We present a protocol to evaluate the expectation value of the correlations of measurement outcomes for ensembles of quantum systems, and use it to experimentally demonstrate--under an assumption of fair sampling--the violation of an inequality that is satisfied by any non-contextual hidden-variables (NCHV) theory. The experiment is performed on an ensemble of molecular nuclear spins in the solid state, using established Nuclear Magnetic Resonance (NMR) techniques for quantum information processing (QIP).

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