Title: Non-Euclidean Geometry for Quantum Information Processing

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum information processing presents significant challenges due to the inherent fragility of quantum states. Classical geometric models often struggle to capture the complexities of quantum behavior, particularly concerning the effects of measurement and entanglement. This paper proposes a novel framework for representing and processing quantum information centered around non-Euclidean geometries, specifically emphasizing the principles of conformal invariance. We argue that this approach offers a fundamentally different perspective on quantum state manipulation, potentially enabling more robust and efficient computations. The core mechanism involves formalizing quantum state representations using a non-Euclidean metric space, allowing for a new computational paradigm that overcomes limitations inherent in traditional geometric approaches. This work addresses the limitations of classical geometry and lays the groundwork for a new era in quantum information processing.

DOI: 10.5281/zenodo.22482843

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