Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

A Black-box Testing Framework for Oracle Quantum Programs

Peixun Long, Jianjun Zhao

TL;DR

The paper tackles the challenge of testing oracle quantum programs, a pivotal class that bridges quantum and classical computation. It defines a unified formal model for oracle programs and develops a black-box testing framework built on equivalence-class partitions, quantum input state design, and a Prepare-Run-Uncompute workflow to verify both output states and phases. A prototype tool and extensive experiments on benchmark programs demonstrate effective bug detection and correctness verification, with systematic analyses of repetition requirements and input-pairing strategies. The work advances quantum software reliability by providing a structured, language-agnostic testing approach that can guide developers and inform future tooling for quantum programming languages and hardware platforms.

Abstract

Oracle quantum programs are a fundamental class of quantum programs that serve as a critical bridge between quantum computing and classical computing. Many important quantum algorithms are built upon oracle quantum programs, making it essential to ensure their correctness during development. While software testing is a well-established approach for improving program reliability, no systematic method has been developed to test oracle quantum programs. This paper proposes a black-box testing framework designed for general oracle quantum programs. We define these programs formally, establish the foundational theory for their testing, and propose a detailed testing framework. We develop a prototype tool and conduct extensive experimental evaluations to evaluate the framework's effectiveness. Our results demonstrate that the proposed framework significantly aids developers in testing oracle quantum programs, providing insights to enhance the reliability of quantum software.

A Black-box Testing Framework for Oracle Quantum Programs

TL;DR

The paper tackles the challenge of testing oracle quantum programs, a pivotal class that bridges quantum and classical computation. It defines a unified formal model for oracle programs and develops a black-box testing framework built on equivalence-class partitions, quantum input state design, and a Prepare-Run-Uncompute workflow to verify both output states and phases. A prototype tool and extensive experiments on benchmark programs demonstrate effective bug detection and correctness verification, with systematic analyses of repetition requirements and input-pairing strategies. The work advances quantum software reliability by providing a structured, language-agnostic testing approach that can guide developers and inform future tooling for quantum programming languages and hardware platforms.

Abstract

Oracle quantum programs are a fundamental class of quantum programs that serve as a critical bridge between quantum computing and classical computing. Many important quantum algorithms are built upon oracle quantum programs, making it essential to ensure their correctness during development. While software testing is a well-established approach for improving program reliability, no systematic method has been developed to test oracle quantum programs. This paper proposes a black-box testing framework designed for general oracle quantum programs. We define these programs formally, establish the foundational theory for their testing, and propose a detailed testing framework. We develop a prototype tool and conduct extensive experimental evaluations to evaluate the framework's effectiveness. Our results demonstrate that the proposed framework significantly aids developers in testing oracle quantum programs, providing insights to enhance the reliability of quantum software.
Paper Structure (43 sections, 1 theorem, 40 equations, 6 figures, 7 tables)

This paper contains 43 sections, 1 theorem, 40 equations, 6 figures, 7 tables.

Table of Contents

  1. Introduction
  2. Background
  3. Quantum Computing
  4. Oracle Quantum Programs
  5. Oracle in Grover's Algorithm: Boolean Function
  6. Quantum Arithmetic
  7. Evolution of Diagonal Hamiltonian
  8. Summary of Oracle Quantum Programs
  9. Formal Definitions and Research Problem
  10. Formal Definition of Oracle Quantum Programs
  11. Research Problem: Testing Oracle Quantum Programs
  12. Testing Frameworks
  13. Theoretical Foundations
  14. Checking the Output State $\ket{\mathcal{F}(x,y)}$
  15. Checking the Output Phase $e^{i\mathcal{G}(x,y)}$
  16. ...and 28 more sections

Key Result

proposition 1

If $N_{tv}$ is chosen based on the lower bound in formula (equ:Ntv), then $N_{tv} = O\left(\frac{\ln\left(1/\alpha\right)}{(\Delta\theta)^2}\right).$

Figures (6)

  • Figure 1: The quantum circuit for Quantum Fourier Transform with four qubits.
  • Figure 2: Pairing graphs illustrating the all-coverage, tree-coverage, and each-choice pairing criteria.
  • Figure 3: Quantum circuit to implement $V_{44,58,\pi/3}$ and its inverse $V_{44,58,\pi/3}^{-1}$.
  • Figure 4: The execution of a pair of generation and uncomputation transforms with identical binary strings but different phase angles. The total operation is equivalent to an $R_x$ gate with a phase difference $\Delta\theta = \theta_{\mathrm{err}} - \theta_0$.
  • Figure 5: The overall testing framework for oracle quantum programs.
  • ...and 1 more figures

Theorems & Definitions (6)

  • definition 1
  • Example 3.1
  • Example 4.1
  • proposition 1
  • Example 4.2
  • Example 4.3