Geometric Phase Transitions in Parallel Quantum Computing

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Geometric phase transitions are a fundamental concept in quantum systems, exhibiting dramatic changes in properties without requiring a change in the system's Hamiltonian. These transitions are particularly relevant in parallel quantum computing, where the interplay of entangled qubits necessitates precise control over complex quantum states. This paper investigates the potential of geometric phase transitions as a crucial element in designing and optimizing computational architectures. We introduce a novel holographic representation to precisely control and predict these transitions, offering a pathway to enhanced computational power. This research utilizes a carefully designed "Holographic Mapping" algorithm to translate geometric phase transitions into a quantum state representation, enabling finer control and potentially unlocking new computational paradigms. The results demonstrate the efficacy of this approach, showcasing the capability to accurately simulate and manipulate geometric phase transitions.

DOI: 10.5281/zenodo.22300469

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