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Journal of Artificial Intelligence & Cloud Computing

Quantum Computing

Miklós Banai

Published May 8, 2025• 0 citations
Publisher

Abstract

L. D. Landau described the quantum liquids He3 and He4 at low temperature (below 3K) by applying the quasi-particle approach called the quasi particles (elementary excitations) as “rotons”. We discuss in this paper how these physical materials may be candidates for building the processor of a quantum computer of type based on the quantum set theory of G. Takeuti.

DOI
10.47363/jaicc/icaicc/2025(4)2

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•Aug 17, 2026•0 citations
L. D. Landau described the quantum liquids He3 and He4 at low temperature (below 3K) by applying the quasi-particle approach called the quasi particles (elementary excitations) as “rotons”. We discuss in this paper how these physical materials may be candidates for building the processor of a quantum computer of type based on the quantum set theory of G. Takeuti.
The foundations and results of parallel computing in terms of Gaisi Takeutis’ quantum set theory are presented in this talk. This approach is based on • The extension of the von Neumann’s uniqueness theorem for the solutions of the canonical commutations relations in quantum mechanics of finitely many degrees of freedom to quantum local field theories of infinitely many degrees of freedom; • The results of the mathematician Gaisi Takeuti about quantum set theory in extension theory; and • The results of the physicist Lev Davidovics Landau about the behavior of the quantum liquids He3 and He4 resulting in a more general approach than the one based on the notion of the quantum bit.
In many-body quantum systems, the elementary excitations that carry energy and momentum are usually understood as phonons, rotons, or other well‑studied quasi‑particles. In this work we propose a new class of collective excitations, termed information phonons, that exist in quantum liquids. Unlike conventional phonons, an information phonon is defined by a field operator φ_I that carries an additional degree of freedom encoding classical or quantum information. We construct a minimal model Hamiltonian that describes the coupling between the density fluctuations of the liquid and the information field, derive the dispersion relation for φ_I, and analyze its properties. Theoretical analysis shows that the information phonon can propagate with a velocity distinct from the sound velocity, possesses a non‑trivial topological structure, and can be manipulated by external fields. We discuss the implications of these excitations for quantum information processing, suggesting that IPQLs could provide a new platform for robust quantum memories and information transport in strongly correlated media. The discovery of such quasi‑particles opens a promising avenue toward realizing novel quantum technologies and deepening our understanding of emergent phenomena in quantum liquids.