Quantum Entanglement Algorithm Complexity Analysis

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

Quantum entanglement, a fundamental phenomenon in quantum mechanics, holds immense potential for revolutionizing computation. This paper investigates the application of quantum entanglement to algorithm complexity analysis, proposing a novel approach that leverages entanglement's unique properties to precisely characterize the computational complexity of complex algorithms. We present a new method for decomposing the algorithm into entangled qubit states, optimizing these states to minimize the number of operations required, ultimately leading to improved efficiency. The core mechanism centers around exploiting the correlations inherent in entangled states to identify crucial bottlenecks within the algorithm's execution. This analysis offers practical optimization strategies for existing algorithms, highlighting the transformative potential of quantum entanglement in computational science.

DOI: 10.5281/zenodo.22618646

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