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This paper proposes a novel extension of the delayed-choice quantum eraser experiment designed to test hidden-variable theories and distinguish between models involving dynamical retrocausality. By setting measurement configurations based on earlier outcomes, the proposed setup aims to validate whether backward-in-time influences have observable effects or if apparent retrocausality stems from violations of statistical independence. The work represents a significant theoretical advancement in foundational quantum mechanics with potential implementation using current technology.
The Quantum Eraser Paradox
arXiv:2111.09347v3 Announce Type: replace Abstract: The Delayed-Choice Quantum Eraser experiment is commonly interpreted as implying that in quantum mechanics a choice made at one time can influence an earlier event. We here suggest an extension of the experiment that results in a paradox when analysed in a local realist interpretation combined with backward causation (``dynamical retrocausality''). We argue that resolving the paradox requires giving up the idea that, in quantum mechanics, a choice can influence the past in this way, and that it instead requires a violation of Statistical Independence without (what most people think of as) retrocausality. Finally, we propose an implementation of the experiment that we believe to be possible with existing technology. This new experiment can distinguish between different types of hidden-variables theories in a way that Bell-type tests cannot: unlike in a Bell test, the measurement setting here is set by an earlier outcome, which makes the consistency of the backwards influence itself testable. We classify the fixed-point (consistency-enforcing) hidden-variables models of the experiment, which can reproduce quantum mechanics only if the backwards influence has no observable effect.
Abstract:The Delayed-Choice Quantum Eraser experiment is commonly interpreted as implying that in quantum mechanics a choice made at one time can influence an earlier event. We here suggest an extension of the experiment that results in a paradox when analysed in a local realist interpretation combined with backward causation (``dynamical retrocausality''). We argue that resolving the paradox requires giving up the idea that, in quantum mechanics, a choice can influence the past in this way, and that it instead requires a violation of Statistical Independence without (what most people think of as) retrocausality. Finally, we propose an implementation of the experiment that we believe to be possible with existing technology. This new experiment can distinguish between different types of hidden-variables theories in a way that Bell-type tests cannot: unlike in a Bell test, the measurement setting here is set by an earlier outcome, which makes the consistency of the backwards influence itself testable. We classify the fixed-point (consistency-enforcing) hidden-variables models of the experiment, which can reproduce quantum mechanics only if the backwards influence has no observable effect.
Quantum Physics (quant-ph); History and Philosophy of Physics (physics.hist-ph)
arXiv:2111.09347 [quant-ph]
(or arXiv:2111.09347v3 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2111.09347 Focus to learn more arXiv-issued DOI via DataCite
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