Source-linked AI summary
Testing contextuality on quantum ensembles with one clean qubit
O. Moussa, C. A. Ryan, D. G. Cory, R. Laflamme
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. 1Method
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. 2Results
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. 3–4Takeaways & Limitations
The protocol measures ensemble correlations without repeated projective measurements on individual systems and extends to similar inequalities on higher-dimensional systems.
Source: p. 4The inequality's preparation independence requires all terms to be estimated using the same preparation.
Source: p. 1
Abstract
from arXiv · showhide
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).