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Quantum Computing Based on Probabilistic Geometry A Tensor-Theoretical Framework for the Control of Uncertainty

Nemoto, Ryusho

Published Oct 12, 2025• 0 citations
OpenAlex

Abstract

This paper reexamines the patent entitled “Quantum Computer Based on Probabilistic Geometry” (Publication No. 2019-220121, Japan Patent Office, 2019) in light of the Tenson Theory. By combining probabilistic number theory with geometric tensor analysis, we propose a control algorithm that represents quantum bit transitions on a probabilistic manifold. The aim is to reinterpret quantum information processing as a geometrical regulation of uncertainty, bridging mathematical physics, information science, and the philosophy of probability.

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This paper reexamines the patent entitled “Quantum Computer Based on Probabilistic Geometry” (Publication No. 2019-220121, Japan Patent Office, 2019) in light of the Tenson Theory. By combining probabilistic number theory with geometric tensor analysis, we propose a control algorithm that represents quantum bit transitions on a probabilistic manifold. The aim is to reinterpret quantum information processing as a geometrical regulation of uncertainty, bridging mathematical physics, information science, and the philosophy of probability.
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This paper introduces a novel framework combining probability geometry and quantum computing, aiming to uncover latent mathematical properties and computational efficiency within quantum states. We establish a probabilistic model for quantum states, leveraging its inherent distributions to analyze the complexities of quantum computation. The core mechanism involves mapping quantum state distributions to probability geometric structures, enabling the discovery of optimized quantum algorithms. This work presents a new perspective on quantum state analysis and offers a pathway toward enhanced quantum algorithms through the integration of these two fields.
Quantum Geometry explores the intersection of probability theory and geometric analysis, aiming to establish a framework where quantum entanglement and geometric structure are intertwined. This paper investigates the potential of leveraging quantum geometry to provide a theoretical basis for quantum computing and quantum information. We propose a novel approach by framing quantum entanglement as geometric "lines" or "shapes," employing geometric operations to describe the evolution of quantum states. This investigation introduces a new perspective on probability theory and geometry, potentially offering a more intuitive and powerful way to understand quantum systems. The paper outlines the core concepts, mechanisms, and preliminary results of this research, highlighting its significance for advancing both quantum information theory and the fundamental understanding of quantum mechanics.
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