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Bunpei Quantum-Pipe Theory (BQP): A Proposal for a Grand Unified Theory Based on Quantum Pipes 量子パイプによる大統一理論の提案

BUNPEI SATOU

Published Apr 22, 2026• 0 citations
Publisher

Abstract

BQP Theory v1.1 (English version) This document presents a comprehensive theoretical analysis of Bunpei Quantum-Pipe Theory (BQP), a proposal for a grand unified theory based on quantum pipes. It includes the formal definitions, key theorems, complexity results, and discussions on implications for quantum computing and fundamental physics. Keywords: BQP, Bunpei Quantum-Pipe Theory, quantum pipe, grand unified theory, quantum complexity Version 1.1 - April 2026

DOI
10.5281/zenodo.19690625

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BQP Theory v1.1 (English version) This document presents a comprehensive theoretical analysis of Bunpei Quantum-Pipe Theory (BQP), a proposal for a grand unified theory based on quantum pipes. It includes the formal definitions, key theorems, complexity results, and discussions on implications for quantum computing and fundamental physics. Keywords: BQP, Bunpei Quantum-Pipe Theory, quantum pipe, grand unified theory, quantum complexity Version 1.1 - April 2026
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In our thesis, we try to shed more light onto the complexity of quantum complexity classes by refining the related part of the hierarchy. First, we review the basic concepts of quantum computing in general. Then, inspired by BQP, we define new complexity classes. They are placed between BPP and PSPACE. We show that they incorporate the current important quantum algorithms. Furthermore, the importance of the unitarity constraint given by quantum mechanics is revealed. Without this requirement, we naturally arrive at the class AWPP, which was up to now thought to be just an artificially defined class. We hope that some of our newly defined classes could find their use in proving results about BQP.
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