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Core Claim: A novel self-adaptive topology-based quantum algorithm design method, designed to optimize quantum algorithm efficiency and accuracy, utilizing the unique properties of self-adaptive topology.

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

Quantum computation offers the potential for exponentially faster computation compared to classical computation, but its practical implementation faces significant challenges related to algorithm design and optimization. This paper explores the application of self-adaptive topology to quantum algorithm design, proposing a new approach that dynamically adjusts the topology of quantum circuits to enhance performance. We present a method for constructing quantum circuits that leverages the inherent properties of self-adaptive topology to achieve improved efficiency and accuracy. The core mechanism involves the iterative refinement of a topological structure based on feedback from quantum measurements, allowing the algorithm to adapt to the specific characteristics of the input quantum system. This paper details the design of an algorithm, including the mathematical formulation of the adaptive topology, and provides a preliminary analysis of its performance compared to traditional approaches. The research aims to contribute to the development of more efficient and robust quantum algorithms through the application of self-adaptive topology, opening avenues for advancements in quantum information processing. The investigation will focus on a specific example of a quantum algorithm, highlighting the benefits of the proposed approach.

DOI
10.5281/zenodo.22317056

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