Title: Universal Quantum State Space Representation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum state space representation is a fundamental challenge in quantum computing. The ability to represent quantum states in a manner that is both computationally efficient and invariant to rotations and translations is crucial for the development of quantum algorithms. This paper proposes a novel approach to defining a universal quantum state space, demonstrating its potential to facilitate the implementation of quantum algorithms across various measurement bases. The core mechanism centers on the creation of a generalized state space that inherently avoids these transformations, providing a robust foundation for algorithm transfer. We present a detailed explanation of the proposed representation, outlining its mathematical foundations and potential applications. The ultimate goal is to simplify the process of algorithm development and broaden the applicability of quantum computation.

DOI: 10.5281/zenodo.22195165

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