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IEEE Design and Test

A Survey of Functional Testing and Validation of Quantum Circuits

Emma Andrews, Aruna Jayasena, Prabhat Mishra

Published May 29, 2026• 0 citations
Publisher

Abstract

Quantum computing has the potential to solve a wide variety of classically intractable problems. However, the inherent complexity, probabilistic behavior, and fragility of quantum systems pose significant challenges to ensuring the correctness and reliability of quantum programs. In this survey, we present a comprehensive overview of functional testing and validation techniques aimed at addressing these challenges for quantum circuits. We begin by outlining the unique characteristics of quantum systems that complicate traditional testing methodologies, including the absence of classical oracles, non-determinism due to quantum measurement, and the exponential growth of the state space. We then categorize and analyze a wide range of functional testing and validation techniques that have emerged to meet these challenges, including mutation testing, fuzz testing, and coverage testing. We further explore advanced semantic and white-box methods such as property-based testing, metamorphic testing, equivalence checking, fault testing, assertions, and concolic testing. Specifically, we discuss the applicability of these testing techniques to quantum circuits and examine their limitations in the current NISQ (Noisy Intermediate-Scale Quantum) era.

DOI
10.1109/mdat.2026.3698368

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RESEARCH REVIEW International Journal of Multidisciplinary•Mar 15, 2024•0 citations
Quantum computing has the potential to solve a wide variety of classically intractable problems. However, the inherent complexity, probabilistic behavior, and fragility of quantum systems pose significant challenges to ensuring the correctness and reliability of quantum programs. In this survey, we present a comprehensive overview of functional testing and validation techniques aimed at addressing these challenges for quantum circuits. We begin by outlining the unique characteristics of quantum systems that complicate traditional testing methodologies, including the absence of classical oracles, non-determinism due to quantum measurement, and the exponential growth of the state space. We then categorize and analyze a wide range of functional testing and validation techniques that have emerged to meet these challenges, including mutation testing, fuzz testing, and coverage testing. We further explore advanced semantic and white-box methods such as property-based testing, metamorphic testing, equivalence checking, fault testing, assertions, and concolic testing. Specifically, we discuss the applicability of these testing techniques to quantum circuits and examine their limitations in the current NISQ (Noisy Intermediate-Scale Quantum) era.
As quantum computing transitions from theoretical concepts to commercially available quantum processing units, ensuring the quality, reliability, and correctness of quantum software systems has become paramount. The unique challenges of quantum software testing have necessitated the adaptation of classical software engineering techniques to the quantum domain. One such technique is fuzz testing, or fuzzing, an automated software testing technique that generates large volumes of inputs to identify bugs and unexpected behaviors. In this work we provide a comprehensive examination of how fuzz testing has been successfully applied to quantum computing. We analyze the application of fuzzing across the quantum ecosystem, from testing quantum programs to verifying quantum software stacks, quantum compilers, and quantum simulators. This survey establishes the foundation for understanding how fuzz testing can ensure the reliability and correctness of quantum software systems and outlines promising future research directions.
This research paper provides an in-depth examination of verification and testing approaches for quantum circuits, focusing on methodologies essential for ensuring the correctness, reliability and operational efficiency of quantum computing systems. Since quantum circuits function on the fundamental principles of superposition and entanglement, they present verification challenges that cannot be effectively addressed using conventional classical testing techniques. As a result, the development of specialized quantum-specific verification strategies has become critically important. The study highlights simulation-based verification as a foundational technique, wherein the outcomes of quantum circuit simulations are systematically compared with results obtained from physical quantum hardware. This process enables the identification of functional inconsistencies and supports iterative refinement of circuit designs. In addition, randomized benchmarking is examined as a key evaluation method for estimating circuit fidelity and quantifying error rates through the application of random gate sequences and performance comparisons against established benchmarks. To further improve system robustness, the research investigates fault-tolerant mechanisms, particularly quantum error correction codes, which play a vital role in minimizing the effects of noise, decoherence and hardware imperfections. The integration of advanced quantum metrology and characterization techniques is also explored, enabling precise measurement and detailed analysis of quantum system behavior. These techniques provide deeper insights into circuit performance and contribute significantly to validation processes. By combining simulation-based verification, randomized benchmarking, fault-tolerant protocols and quantum metrology, this study proposes a comprehensive and reliable framework for quantum circuit verification and testing. The findings contribute to the advancement of dependable quantum technologies and support their growing applications in areas such as cryptography, materials science and other emerging domains.
Quantum computing is getting increasing interest from both academia and industry, and the quantum software landscape has been growing rapidly. The quantum software stack comprises quantum programs, implementing algorithms, and platforms like IBM Qiskit, Google Cirq, and Microsoft Q#, enabling their development. To ensure the reliability and performance of quantum software, various techniques for testing and analyzing it have been proposed, such as test generation, bug pattern detection, and circuit optimization. However, the large amount of work and the fact that work on quantum software is performed by several research communities, make it difficult to get a comprehensive overview of the existing techniques. In this work, we provide an extensive survey of the state of the art in testing and analysis of quantum software. We discuss literature from several research communities, including quantum computing, software engineering, programming languages, and formal methods. Our survey covers a wide range of topics, including expected and unexpected behavior of quantum programs, testing techniques, program analysis approaches, optimizations, and benchmarks for testing and analyzing quantum software. We create novel connections between the discussed topics and present them in an accessible way. Finally, we discuss key challenges and open problems to inspire future research.
Quantum software has entered production use, but its reliability remains sensitive. Bugs in compilers, simulators, and algorithm-layer source codes do not lead to program crashes; rather, they emerge as faulty probability distributions, successfully compiled but incorrect circuits, and differences between platforms, which classical testing oracles are incapable of noticing. This paper surveys quantum fuzzing as a response to that gap. This paper is organize in the field along the classical grey-box, white-box, and black-box axis and trace, for each category, the sequence of tools that have advanced the state of the art QuanTest, QSolver, and NovaQ representing the current frontiers respectively. Characterized the defect landscape these tools have collectively exposed, showing that bugs concentrate disproportionately in compilers and transpilation passes, that simulator and algorithm-layer faults form a distinct oracle-evading class, and that roughly 40% of confirmed quantum bugs are quantum-specific in symptom. Across all categories mentioned the same that crash-based detection is structurally inadequate for quantum software, and that the most productive fuzzers replace it with statistical, metamorphic, entanglement-guided, or formal-invariant oracles. We close by identifying the unification of these oracle strategies within a single campaign as the principal open challenge for the field.
Although classical computing has excelled in a wide range of applications, there remain problems that push the limits of its capabilities, especially in fields like cryptography, optimization, and materials science. Quantum computing introduces a new computational paradigm, based on principles of superposition and entanglement to explore solutions beyond the capabilities of classical computation. With the increasing interest in the field, there are challenges and opportunities for academics and practitioners in terms of software engineering practices, particularly in testing quantum programs. This paper presents an empirical study of testing patterns in quantum algorithms. We analyzed all the tests handling quantum aspects of the implementations in the Qiskit Algorithms library and identified seven distinct patterns that make use of (1) fixed seeds for algorithms based on random elements; (2) deterministic oracles; (3) precise and approximate assertions; (4) Data-Driven Testing (DDT); (5) functional testing; (6) testing for intermediate parts of the algorithms being tested; and (7) equivalence checking for quantum circuits. Our results show a prevalence of classical testing techniques to test the quantum-related elements of the library, while recent advances from the research community have yet to achieve wide adoption among practitioners.
In this research paper, I have thoroughly described about the topic “study on Verification and Testing Strategies for Quantum Circuits.” The research on quantum circuit verification and testing methodologies examines how to ensure the dependability and functioning of quantum computing systems, which are crucial to their transformational potential. Quantum circuits use superposition and entanglement, which need verification and testing methods. Innovative quantum circuit-specific methodologies are needed since conventional computing methods fail in quantum computing. A major research area is simulation-based verification, which compares simulated quantum circuit outputs to genuine hardware implementations. Developers may identify circuit design or implementation problems by comparing simulated and predicted results, enabling incremental improvement. Randomized benchmarking procedures may also evaluate quantum circuit integrity and error rates. These protocols quantify operational features of circuits by submitting them to randomized operations and evaluating their performance against preset benchmarks, leading attempts to enhance reliability and performance. Fault-tolerant methods, such as error correction codes, reduce quantum hardware noise and mistakes, improving quantum circuit reliability. The incorporation of error correcting techniques makes quantum circuits more resilient to environmental perturbations, making them more practical. Advanced quantum metrology and characterization methods provide accurate measurement and characterization of quantum systems, making quantum circuit testing and validation easier. These approaches help identify circuit performance improvements by correctly characterizing quantum features and behavior. This research integrates simulation-based verification, randomized benchmarking procedures, fault-tolerant approaches, and quantum metrology to ensure quantum circuit functioning and dependability. This research advances quantum technologies and realizes their transformative potential in cryptography, materials science, and other fields by explaining verification and testing strategies tailored to quantum computing systems