Quantum-Based SMT Solving for String Theory

Satisfiability Modulo Theory (SMT) solvers are a useful tool that can be applied to a variety of problems, such as configuring relationships in distributed systems, detecting race conditions, and program analysis. String constraints are particularly difficult for SMT solvers to navigate, as the search space is generally large. Often times, classical SMT solvers will have to quit generating a solution for string constraints because it takes too long to find the solution. Quantum computing offers the advantages of quantum mechanics (e.g., superposition), which allows a system to explore a large search space much more efficiently. In this work, we explore creating a quantum-enabled SMT solver for string theory by using quantum annealing and Quadratic Unconstrained Binary Optimization (QUBO). Our preliminary results demonstrate that it is feasible to transform these string constraints to QUBO, and generate solutions for given constraints.

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Published
2025-07-20
DOI
https://doi.org/10.1145/3731545.3744151
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
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article

Quantum-Based SMT Solving for String Theory

Beatrice Casey, Joanna C. S. Santos, Andrew Hennessee
Quantum Computing Algorithms and Architecture
article

Quantum-Based SMT Solving for String Theory

Beatrice Casey, Joanna C. S. Santos, Andrew Hennessee
article en

Abstract

Satisfiability Modulo Theory (SMT) solvers are a useful tool that can be applied to a variety of problems, such as configuring relationships in distributed systems, detecting race conditions, and program analysis. String constraints are particularly difficult for SMT solvers to navigate, as the search space is generally large. Often times, classical SMT solvers will have to quit generating a solution for string constraints because it takes too long to find the solution. Quantum computing offers the advantages of quantum mechanics (e.g., superposition), which allows a system to explore a large search space much more efficiently. In this work, we explore creating a quantum-enabled SMT solver for string theory by using quantum annealing and Quadratic Unconstrained Binary Optimization (QUBO). Our preliminary results demonstrate that it is feasible to transform these string constraints to QUBO, and generate solutions for given constraints.

University of Notre Dame (US)
Openalex Percentile: Top 87%
Quantum Computing Algorithms and Architecture
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Quantum-Based SMT Solving for String Theory — Beatrice Casey, Joanna C. S. Santos, et al. · (2025) | TGRS Research Map | TGRS