Algorithmic Quantum Complexity Theory

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper investigates the computational complexity of quantum algorithms, proposing a new framework based on quantum superposition and entanglement. We introduce a "quantum state evolution" algorithm to dynamically adjust the quantum state, enabling the calculation of complexity metrics directly tied to the algorithm's objectives. The core claim is that this approach offers a fundamentally new method for quantifying the computational limits of quantum algorithms, surpassing current classical approximations. We provide a detailed mathematical description of the algorithm and discuss its implications for understanding and potentially extending the limits of quantum computation.

DOI: 10.5281/zenodo.22317733

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