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bell test

An experimental procedure, proposed by John Bell, to test quantum entanglement against local hidden variable theories.
53 related articles

Description

Bell's test is an experimental procedure designed to determine whether quantum entanglement—the phenomenon where particles remain correlated across any distance—is governed by local hidden variables or by the intrinsic randomness of quantum mechanics. Proposed by John Bell in 1964, the test compares statistical correlations between measurements on entangled particles against a mathematical inequality (Bell's inequality) that any local hidden variable theory must satisfy. If the inequality is violated, as quantum mechanics predicts, it rules out the possibility that the correlations arise from pre-existing, locally determined properties.

History

John Bell introduced the inequality in 1964, building on earlier work by Einstein, Podolsky, and Rosen. The first experimental tests were performed by Stuart Freedman and John Clauser in 1972, followed by Alain Aspect's more rigorous experiments in the early 1980s, which closed several major loopholes.

How it works

In a typical Bell test, pairs of entangled particles (often photons) are sent to two distant detectors. Each detector randomly chooses one of several measurement settings, such as polarization angles, and records an outcome. After many runs, the correlation between outcomes at the two detectors is computed. Quantum mechanics predicts correlations that violate Bell's inequality, while any theory relying on local hidden variables—where each particle carries a complete set of properties from the moment of entanglement—cannot exceed the inequality's bound. The experimental challenge is to close loopholes, such as ensuring the measurement choices are truly random and that no information travels between detectors faster than light.

In practice

Bell tests underpin quantum cryptography and quantum key distribution, where the violation of Bell's inequality guarantees the security of communication against eavesdropping.

Fun fact

The 2022 Nobel Prize in Physics was awarded to Aspect, Clauser, and Anton Zeilinger for their pioneering work on Bell tests and quantum information science.

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