Probabilistic Formal Verification of Concurrent Systems via Quantum Simulation

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper proposes a novel approach to the formal verification of concurrent systems by leveraging quantum simulation. Traditional formal verification methods often struggle with the inherent probabilistic nature of concurrent systems, leading to conservative results and difficulty in capturing subtle errors. Our approach utilizes quantum simulation to model the system's behavior, explicitly accounting for these probabilistic elements. The simulation is then analyzed statistically to determine the probability of the system satisfying the desired properties. This methodology offers a more nuanced and potentially more accurate verification process compared to classical approaches. The core idea is to treat the system's state as a quantum state, allowing for the representation and simulation of probabilistic transitions. We outline the key components of this framework, focusing on the mapping of concurrent system behavior onto a quantum system and the subsequent statistical analysis of the simulation output. This research contributes to the burgeoning field of quantum formal verification and offers a promising direction for tackling the complexities of concurrent system design and assurance.

DOI: 10.5281/zenodo.22270312

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