Are Coherent States the Natural Language of Quantum Theory?

Bob Coecke

Paul A. Benioff

Some aspects of the physical nature of language are discussed. In particular, physical models of language must exist that are efficiently implementable. The existence requirement is essential because without physical models no communication or thinking would be possible. Efficient implementability for creating and reading language expressions is discussed and illustrated with a quantum mechanical model. The reason for interest in language is that language expressions can have meaning, either as an informal language or as a formal language associated with a mathematical or physical theory. It is noted that any universally applicable physical theory, or coherent theory of physics and mathematics together, includes in its domain physical models of expressons for both the informal language used to discuss the theory and expressions of the theory itself. It follows that there must be formulas in the formal theory that express some of their own physical properties. Inclusion of intelligent system in the theory domain means that the theory, e.g., quantum mechanics, must describe in some sense its own validation. Maps of language expressions into physical states are discussed as are conditions under which such a map is a Godel map. The possibility that language is also mathematical is very briefly discussed.

Javier Julián Enríquez

This study explores Quantum Natural Language Processing (QNLP) by examining how quantum computation may enhance Natural Language Generation (NLG). It proposes a theoretical framework for transforming complex literary texts, with Dante Alighieri’s Divine Comedy as the central example, into recursive algebraic structures suitable for quantum-informed processing. Drawing on category theory, tensor algebra, compositional distributional semantics, and hybrid quantum-classical optimization, the framework models grammatical and semantic relations in ways that may improve long-range coherence, ambiguity resolution, and context-sensitive text generation. The principal objective is to formulate a rigorous pathway from literary analysis to quantum-compatible semantic representation and recursive optimization for NLG.

D. -F. Qin

This paper examines language modeling based on the theory of quantum mechanics. It focuses on the introduction of quantum mechanics into the symbol-meaning pairs of language in order to build a representation model of natural language. At the same time, it is realized that word embedding, which is widely used as a basic technique for statistical language modeling, can be explained and improved by the mathematical framework of quantum mechanics. On this basis, this paper continues to try to use quantum statistics and other related theories to study the mathematical representation, natural evolution and statistical properties of natural language. It is also assumed that the source of such quantum properties is the physicality of information. The feasibility of using quantum theory to model natural language is pointed out through the construction of a experimental code. The paper discusses, in terms of applications, the possible help of the theory in constructing generative models that are popular nowadays. A preliminary discussion of future applications of the theory to quantum computers is also presented.