Qymera: Simulating Quantum Circuits using RDBMS

2025-06-10

AI Summary

Quantum circuit simulation typically relies on specialized high-performance computing resources, limiting its applicability in education, algorithm development, and cross-platform verification. This paper introduces the first quantum circuit simulation framework built entirely atop general-purpose relational database management systems (RDBMSs). It compiles quantum gate operations into standard SQL queries, leveraging native relational algebra to express tensor evolution of quantum states, and employs query optimization techniques to achieve efficient simulation on mainstream RDBMSs. The framework provides dual interfaces—graphical and programmatic—enabling seamless integration of quantum computation with classical data workflows. Experiments demonstrate reproducible simulation of medium-scale circuits (≤12 qubits), deliver a standardized benchmarking infrastructure, and substantially lower the barrier to quantum algorithm validation. Its practical utility is evidenced in quantum education, rapid prototyping, and performance comparison across heterogeneous computing platforms.

Technology Category

• Machine Learning: Quantum Machine Learning
• Knowledge Representation and Reasoning: Qualitative Reasoning
• Search and Optimization: Sampling/Simulation-based Search

Application Category

• Graph Algorithms and Modeling for the Web: Querying, indexing, and retrieval in Web-related graphs
• Search and Retrieval-Augmented AI: Web evaluation methodologies and metrics
• Systems and Infrastructure for Web, Mobile and WoT: Experiences and lessons learnt from Web-based algorithms and system deployments

Abstract

Quantum circuit simulation is crucial for quantum computing such as validating quantum algorithms. We present Qymera, a system that repurposes relational database management systems (RDBMSs) for simulation by translating circuits into SQL queries, allowing quantum operations to run natively within an RDBMS. Qymera supports a wide range of quantum circuits, offering a graphical circuit builder and code-based interfaces to input circuits. With a benchmarking framework, Qymera facilitates comparison of RDBMS-based simulation against state-of-the-art simulation methods. Our demonstration showcases Qymera's end-to-end SQL-based execution, seamless integration with classical workflows, and its utility for development, benchmarking, and education in quantum computing and data management.

Problem

• Simulating quantum circuits using relational databases
• Translating quantum operations into SQL queries
• Benchmarking RDBMS-based quantum simulation methods

Innovation

• Uses RDBMS for quantum circuit simulation
• Translates circuits into SQL queries
• Provides graphical and code-based circuit interfaces