Quantum Entanglement Encoding: A Computational Complexity Proof Framework

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper introduces a novel computational complexity proof framework centered around quantum entanglement encoding. The core aim is to precisely quantify the resource requirements – specifically, the number of qubits and quantum gate operations – necessary for an algorithm to execute on a quantum computer. The framework operates by decomposing an algorithm into a sequence of quantum gate operations, leveraging the properties of entangled states to establish a quantum resource consumption model. This model then serves as a basis for rigorously proving the computational complexity of the algorithm. Unlike existing complexity proof frameworks primarily designed for classical computation, this approach offers a direct and effective methodology for guiding the design and optimization of quantum algorithms. The framework provides a systematic approach to assessing the scalability and feasibility of quantum algorithms by explicitly modeling the entanglement resources required.

DOI: 10.5281/zenodo.22335305

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