Temporal Logic Programming with Quantum State Transitions

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel approach to quantum computation by integrating temporal logic programming with quantum state transitions. The core idea is to extend the capabilities of temporal logic programming to directly control and reason about the evolution of quantum systems. Traditional quantum programming often relies on unitary transformations and circuit descriptions, which can be complex and difficult to verify, especially for complex quantum algorithms. We propose a programming language that allows programmers to define temporal logic constraints on the desired quantum state transitions. These constraints effectively act as a higher-level specification of the quantum computation, offering improved clarity, maintainability, and verification capabilities. The system allows for precise control over quantum computations by specifying state transitions over time. This approach leverages the expressiveness of temporal logic to handle complex quantum systems and algorithms, ultimately simplifying the process of quantum algorithm design and implementation. The theoretical framework and fundamental concepts are presented, laying the groundwork for further development and exploration of this new paradigm.

DOI: 10.5281/zenodo.22270316

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