Abstract
Correlations between the spins of top-quark pairs produced at a collider can be used to probe quantum entanglement at energies never explored so far. We show how the measurement of a single observable can provide a test of the violation of a Bell inequality at the 98%C.L. with the statistical uncertainty of the data already collected at the Large Hadron Collider, and at the 99.99%C.L. with the higher luminosity of the next run. Detector acceptance, efficiency, and migration effects are taken into account. The test relies on the spin correlations alone and does not require the determination of probabilities-in contrast to all other tests of Bell inequalities.
Highlights
Introduction.—A characteristic property of a quantum system is the presence of quantum correlations among its constituents not accounted for by classical physics, leading to the violation of specific constraints, the so-called Bell inequalities [2,3]
We show how the measurement of a single observable can provide a test of the violation of a Bell inequality at the 98% C.L. with the statistical uncertainty of the data already collected at the Large Hadron Collider, and at the 99.99% C.L. with the higher luminosity of the run
This physical system is routinely produced at colliders and the spin correlations among quark pairs have been shown [5,6] to be a powerful tool in the physical analysis—limited aspects of which have been already studied by the experimental collaborations at the Large Hadron Collider (LHC) on data at 7 [7], 8 [8], and 13 TeV [9] of center-of-mass (c.m.) energy
Summary
Introduction.—A characteristic property of a quantum system is the presence of quantum correlations (entanglement) among its constituents not accounted for by classical physics (for a review, see [1]), leading to the violation of specific constraints, the so-called Bell inequalities [2,3]. Testing Bell Inequalities at the LHC with Top-Quark Pairs
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