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European Review

Quantum Cognition – Quantum Analogy

Michael Fortescue

Published Jul 28, 2021• 3 citations
Publisher

Abstract

Attempts to apply the apparatus of quantum mechanics to cognition and language have met, understandably, with a degree of scepticism within the disciplines concerned, but they nevertheless have the potential for opening exciting new perspectives. In this article, I address the question as to what it is exactly about these attempts that has drawn such attention – both positive and negative – in recent years. I shall argue for distinguishing those aspects of quantum cognition that do warrant serious consideration by cognitive psychologists and linguists irrespective of the exact nature of its relationship to classical quantum mechanics. The key lies in the important role played by analogy in both disciplines.

DOI
10.1017/s106279872100020x

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Quantum mechanics emerged as the result of a successful resolution of stringent empirical and profound conceptual conflicts within the development of atomic physics at the beginning of the last century. At first glance, it seems to be bizarre and even ridiculous to apply ideas of quantum physics in order to improve current psychological and linguistic or semantic ideas. However, a closer look shows that there are some parallels in the development of quantum physics and advanced theories of cognitive science. In psychology, geometric models of meaning have a long tradition. However, they suffer from many shortcomings which are illustrated by discussing several puzzles of bounded rationality. In the first part of this article, we argue that the present account of quantum cognition - taking quantum probabilities rather than classical probabilities - can give a more systematic description of these puzzles than the alternate and rather eclectic treatments in the traditional framework of bounded rationality. Unfortunately, the quantum probabilistic treatment does not always and does not automatically provide a deeper understanding and a true explanation of these puzzles. In the second part of this article, we explain the foundational issue from the perspective of Piron, Foulis, Randall, and others, and we apply it to the foundation of quantum cognition. In this connection, we show that quantum probabilities are of (virtual) conceptual necessity if grounded in an abstract algebraic framework of orthomodular lattices. This framework is motivated by assuming partial Boolean algebras (describing particular perspectives) that are combined into a uniform system while considering certain capacity restrictions. It is at this point that one important aspect of the whole idea of bounded rationality directly enters the theoretical scenery of quantum cognition: resource limitation.
The emergence of quantum computing has prompted researchers to examine potential parallels between quantum mechanical principles and human cognitive processes. This article explores the theoretical framework of quantum cognition, examining how concepts from quantum mechanics, including superposition, entanglement, and measurement, might inform our understanding of human decision-making, memory, and consciousness. While quantum computing operates on fundamentally different physical principles than biological neural networks, the mathematical formalisms of quantum mechanics offer novel perspectives on cognitive phenomena that classical probability theory struggles to explain. This review critically examines the current state of quantum cognition research, its applications in computational modeling, and the ongoing debates regarding the validity of quantum mechanical analogies in psychological theory. The analysis reveals both promising theoretical insights and significant limitations in applying quantum principles to human cognition, highlighting the need for empirical validation and careful distinction between mathematical analogy and physical reality.
In recent years, the application of quantum mechanics in life sciences has given rise to quantum biology, which deeply investigates the impact of quantum effects on biological processes, such as quantum transfer in photosynthesis and quantum coherence phenomena in bird navigation. However, the connection between quantum mechanics and the social sciences, particularly linguistics, has not been widely explored. This paper draws analogies between the discrete nature, superposition states, and entanglement phenomena in quantum mechanics, and the discreteness, ambiguity, and context-dependence in linguistics, revealing interdisciplinary similarities between the two fields. This analogy provides a new perspective for understanding the uncertainty and complexity involved in human language processing, and suggests the possible existence of macroscopic quantum states. Future research may uncover the impact of quantum effects on higher cognitive functions and promote a deeper integration of quantum physics and social sciences.
Quantum cognition (QC) is a new interdisciplinary research field which applies the mathematical structure of quantum mechanics to explain and understand puzzling aspects of cognitive phenomena. This study focuses on improving the current QC models of language and memory. The researcher provides a better understanding of measurement and contextuality in processes involving language and memory. This will impact upon the field of QC, strengthening its position as a well-founded branch of mathematical psychology.
Quantum consciousness concerns both the possible role that quantum mechanics has for understanding consciousness as well as the role that consciousness has for interpreting quantum physics. Quantum brain theories hypothesize that quantum physical processes occur within and between the neurons of the brain and have important effects on cognition as well as consciousness. Quantum cognition is a growing new field in cognitive science concerned with the application of the mathematical principles of quantum theory to human judgment and decision-making behaviour. What do all these theories have to do with each other? Quantum theories of consciousness have more to say about quantum physics than cognitive psychology and conscious experiences. Quantum brain theories have not been sufficiently ‘scaled up’ to provide clear implications for how quantum physical processes generate more complex cognition. Quantum cognition theories have avoided addressing fundamental issues about consciousness and have remained agnostic with respect to the quantum brain hypothesis. This article will address the problem of connecting these ideas together by connecting quantum cognition to the other two topics.
The attempt to employ quantum principles for modeling cognition has enabled the introduction of several new concepts in psychology, such as the uncertainty principle, incompatibility, entanglement, and superposition. For many commentators, this is an exciting opportunity to question existing formal frameworks (notably classical probability theory) and explore what is to be gained by employing these novel conceptual tools. This is not to say that major empirical challenges are not there. For example, can we definitely prove the necessity for quantum, as opposed to classical, models? Can the distinction between compatibility and incompatibility inform our understanding of differences between human and nonhuman cognition? Are quantum models less constrained than classical ones? Does incompatibility arise as a limitation, to avoid the requirements from the principle of unicity, or is it an inherent (or essential?) characteristic of intelligent thought? For everyday judgments, do quantum principles allow more accurate prediction than classical ones? Some questions can be confidently addressed within existing quantum models. A definitive resolution of others will have to anticipate further work. What is clear is that the consideration of quantum cognitive models has enabled a new focus on a range of debates about fundamental aspects of cognition.