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A strong no-go theorem on the Wigner's friend paradox

Published 12 Jul 2019 in quant-ph | (1907.05607v4)

Abstract: Does quantum theory apply at all scales, including that of observers? New light on this fundamental question has recently been shed through a resurgence of interest in the long-standing Wigner's friend paradox. This is a thought experiment addressing the quantum measurement problem -- the difficulty of reconciling the (unitary, deterministic) evolution of isolated systems and the (non-unitary, probabilistic) state update after a measurement. Here, by building on a scenario with two separated but entangled friends introduced by Brukner, we prove that if quantum evolution is controllable on the scale of an observer, then one of 'No-Superdeterminism', 'Locality' or 'Absoluteness of Observed Events' -- that every observed event exists absolutely, not relatively -- must be false. We show that although the violation of Bell-type inequalities in such scenarios is not in general sufficient to demonstrate the contradiction between those three assumptions, new inequalities can be derived in a theory-independent manner, that are violated by quantum correlations. This is demonstrated in a proof-of-principle experiment where a photon's path is deemed an observer. We discuss how this new theorem places strictly stronger constraints on physical reality than Bell's theorem.

Citations (152)

Summary

  • The paper establishes that core assumptions like No-Superdeterminism, Locality, and Absoluteness of Observed Events are mutually exclusive in quantum observer scenarios.
  • It introduces novel Local Friendliness inequalities that are violated by quantum correlations, challenging traditional interpretations of quantum mechanics.
  • The findings imply potential impacts on quantum computing and AI, prompting a reexamination of measurement and observer roles in quantum theory.

A Strong No-Go Theorem on the Wigner's Friend Paradox

The research paper entitled "A strong no-go theorem on the Wigner’s friend paradox" provides a rigorous investigation into the foundational questions raised by the Wigner's friend thought experiment. This thought experiment, originally posed by Eugene Wigner, interrogates the quantum measurement problem, particularly the tension between deterministic quantum evolution and the probabilistic nature of measurement outcomes. The authors extend the scenario to incorporate two "friends," each confined within a separate laboratory, thereby exploring entangled states that produce challenging philosophical and conceptual issues within quantum mechanics.

The central contribution of the paper lies in formulating a no-go theorem that delineates the constraints imposed on physical theories if quantum evolution can be controlled at the observer level. The authors identify three core assumptions within this framework: No-Superdeterminism, Locality, and Absoluteness of Observed Events (AOE). These assumptions are integral to classical interpretations within quantum theories, and the paper argues for their mutual exclusivity when applied to entangled states involving multiple observers.

A significant aspect of the work is the derivation of new inequalities that extend the Bell-type scenarios. These inequalities, referred to as Local Friendliness (LF) inequalities, are shown to be violated by quantum correlations in certain cases, implying the invalidity of maintaining all three assumptions simultaneously. The paper successfully demonstrates these violations using two-photon experiments where the photon's path is treated as an observer.

One consequential implication of this theorem is its stronger constraint on the nature of reality compared to Bell's theorem, since Local Friendliness operates under weaker conditions than those required for local hidden variable theories. This challenges traditional interpretations and suggests that either quantum mechanics does not universally apply to observers or that one or more of the core metaphysical assumptions must be reconsidered.

In practical terms, the results invite speculation on the dynamics within quantum algorithms executed in quantum computers, especially as they pertain to artificial intelligence and other sophisticated systems that could simulate "observer" characteristics. If coherent quantum operations become feasible at the scale of what can be considered an observer, this could potentially upend conventional perceptions of quantum reality.

In the experimental domain, the violations noted in the proof-of-principle experiments underscore the feasibility of conducting experiments with more complex systems, suggesting that the theoretical insights derived here could catalyze detailed investigations into observer-dependent phenomena within quantum mechanics.

Future developments may focus on providing more robust empirical tests, possibly involving advancements in quantum computing and AI. Such tests may further elucidate whether there is a fundamental scale at which quantum theory ceases to provide an accurate description of physical reality or whether our understanding of measurement and observation requires radical revision. The distinctions made by this research have the potential to influence both theoretical debates and the practical applications of quantum theory in transformative ways.

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