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Violation of local realism with freedom of choice (0811.3129v2)

Published 19 Nov 2008 in quant-ph

Abstract: Bell's theorem shows that local realistic theories place strong restrictions on observable correlations between different systems, giving rise to Bell's inequality which can be violated in experiments using entangled quantum states. Bell's theorem is based on the assumptions of realism, locality, and the freedom to choose between measurement settings. In experimental tests, "loopholes" arise which allow observed violations to still be explained by local realistic theories. Violating Bell's inequality while simultaneously closing all such loopholes is one of the most significant still open challenges in fundamental physics today. In this paper, we present an experiment that violates Bell's inequality while simultaneously closing the locality loophole and addressing the freedom-of-choice loophole, also closing the latter within a reasonable set of assumptions. We also explain that the locality and freedom-of-choice loopholes can be closed only within non-determinism, i.e. in the context of stochastic local realism.

Citations (267)

Summary

  • The paper demonstrates how a 144 km Bell test using quantum random number generators effectively closes both the locality and freedom-of-choice loopholes.
  • It employs state-of-the-art entangled photon sources and space-like separation techniques to ensure independent measurement settings.
  • The results, yielding S = 2.37 ± 0.02, provide robust evidence against local hidden variable theories and guide future loophole-free experiments.

Violation of Local Realism with Freedom of Choice: An Overview

The paper "Violation of local realism with freedom of choice" demonstrates an important advancement in quantum physics by addressing the challenging issue of closing both the locality and freedom-of-choice loopholes in Bell test experiments. Conducted by Scheidl et al., this Bell test experiment, performed between the Canary Islands, advances our understanding of the requirements necessary to refute local hidden variable theories decisively.

Quantum entanglement, first postulated by Einstein et al., remains at the heart of investigations into the viability of local realistic theories. The foundational Bell’s theorem hinges critically on three assumptions: realism, locality, and freedom of choice. Numerous experiments have attempted to validate the predictions of quantum mechanics by demonstrating violations of Bell's inequality. However, all such tests have been subject to potential loopholes—most prominently, the locality and freedom-of-choice loopholes.

Experiment and Methodology

This experiment is noteworthy for its execution across a 144 km free-space optical link between La Palma and Tenerife. The experimental setup utilized polarization-entangled photons generated in La Palma and transmitted to Bob in Tenerife while using sophisticated quantum random number generators (QRNGs) for determining the measurement settings. The work achieves space-like separation of both the outcome and choice events, thereby aiming to close the locality loophole effectively.

Moreover, an important distinction of this experiment is its explicit endeavor to mitigate the freedom-of-choice loophole. By ensuring that the QRNG-determined settings for Alice’s and Bob’s measurements were independent and space-like separated from the emission of entangled photon pairs, the authors effectively minimized the chance of hidden variables influencing their setting choices.

Results and Implications

The experimental results yielded strong evidence against local hidden variable theories, achieving a Bell violation measure of S = 2.37 ± 0.02, which notably surpasses the classical limit of 2 by more than 16 standard deviations. The robustness of these results arises from the employment of a high-coherence entangled source and the precise spatial-temporal arrangement of experimental components, which meets the stringent conditions needed to close the discussed loopholes. Apart from fair-sampling assumptions, the authors observe that the remaining models not excluded by this work lean toward metaphysical and practically untestable classes such as superdeterminism or superrealism.

Future Directions

While significant, the presented experiment does not achieve a completely loophole-free test, leaving open the fair-sampling loophole. The authors acknowledge and propose that future experiments will need to leverage state-of-the-art technology, ensuring high-efficiency detectors combined with low-loss optical channels. These modifications are essential for potentially achieving comprehensive loophole-free demonstrations.

In closing both locality and freedom-of-choice loopholes simultaneously, this research represents pivotal progress in the ongoing efforts to reinforce the quantum mechanical framework over local realistic theories. It also calls attention to the continuing refinement needed in experimental designs to close the remaining loopholes, guiding future teleportation, communication, and computation endeavors in the field of quantum physics.