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An Introduction to QBism with an Application to the Locality of Quantum Mechanics (1311.5253v1)

Published 20 Nov 2013 in quant-ph and physics.hist-ph

Abstract: We give an introduction to the QBist interpretation of quantum mechanics. We note that it removes the paradoxes, conundra, and pseudo-problems that have plagued quantum foundations for the past nine decades. As an example, we show in detail how it eliminates quantum "nonlocality".

Citations (430)

Summary

  • The paper introduces QBism, a Bayesian approach to quantum mechanics that treats probabilities as personal beliefs linked to individual measurement experiences.
  • The paper applies QBism to resolve quantum nonlocality by reinterpreting correlations as time-like sequences unique to each agent.
  • The paper shows that adopting QBism can address foundational paradoxes from EPR and Bell's inequalities, offering a local framework without objective measurement outcomes.

QBism: A Bayesian Interpretation of Quantum Mechanics

The paper "An Introduction to QBism with an Application to the Locality of Quantum Mechanics" by Christopher A. Fuchs, N. David Mermin, and RĂ¼diger Schack introduces Quantum Bayesianism, or QBism, as an interpretation of quantum mechanics that addresses long-standing issues within quantum foundations. The authors propose that QBism, aligning partially with Bohr's views, considers quantum mechanics not as a method to disclose an ultimate reality but as a means to systematically order and interpret an agent's experiences.

Core Tenets of QBism

QBism deviates significantly from the Copenhagen interpretation, primarily through its personalized epistemological framework. It posits that:

  1. Subjective Probabilities: Probability is subjective, representing individual beliefs rather than objective properties. This perspective returns to the probabilistic roots found in contexts like gambling where personal beliefs guide decision-making.
  2. Single-User Theory: Probability assignments are inherently tied to the agent making them; they do not universally apply across different agents unless communicated and agreed upon.
  3. Measurement as an Experience: Measurements in QBism elicit new experiences rather than reveal pre-existing properties. The outcome of a measurement is a personal experience of the agent conducting it, i.e., it exists only in the context of the agent's interaction with the system.

Implications and Addressing Nonlocality

One of the paper's significant assertions is the elimination of so-called "quantum nonlocality." This notion arises in traditional interpretations, such as Bohmian mechanics, where quantum mechanics seemingly necessitates nonlocal effects, conflicting with relativity. However, in QBism:

  • Agent-Centered Reality: Reality is individual-specific; hence, quantum mechanics cannot attribute phenomenon like nonlocality universally between entangled particles if these relate to distinct agents' experiences.
  • Time-like Correlations: Correlations in quantum mechanics, as interpreted through QBism, are inherently time-like, being intrinsically linked to an individual agent's chronological sequence of experiences and not of spatially separated occurrences.

The refutation of quantum nonlocality within QBism highlights its role as a local interpretation of quantum mechanics that cannot assign causality or correlation to spacelike-separated events without invoking personal experiences.

Theoretical and Practical Implications

The paper implicates QBism as a compelling framework that potentially resolves entrenched paradoxes, such as those introduced by Einstein, Podolsky, and Rosen, and Bell's inequalities. EPR's reliance on a reality criterion and objective facts to determine causality is invalidated within a QBist approach. Instead, the notion of quantum reality is shifted to the subjective domain, consistent with the personalist Bayesian view of probability.

Further, the paper addresses the measurement problem by defusing the assumption of an objective-measurement domain independent from the agent. As such, QBism extends the Copenhagen interpretation by providing a subjective reality interface that foregrounds individual experiences.

Conclusion and Future Perspective

QBism offers a cogent reevaluation of quantum mechanics' foundational questions, proposing a paradigm that emphasizes personal belief systems and localized realities. This perspective could provide a firmer groundwork for interpreting quantum phenomena without succumbing to traditional paradoxes of compatibility with relativistic principles.

As the field progresses, QBism could invigorate discussions around the nature of scientific inquiry itself, potentially influencing theoretical advancements beyond quantum mechanics to include areas where subjective agent experiences play a crucial role. Future research should concentrate on elaborating QBism's implications on broader quantum communication and information theory, as well as on interdisciplinary applications integrating fundamental physics with cognitive sciences.

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