Quantum computing has emerged as a promising field with the potential to revolutionize various domains by harnessing the principles of quantum mechanics. As quantum hardware and algorithms continue to advance, the development of high-quality quantum software has become crucial. However, testing quantum programs poses unique challenges due to the distinctive characteristics of quantum systems and the complexity of multi-subroutine programs. In this paper, we address the specific testing requirements of multi-subroutine quantum programs. We begin by investigating critical properties through a survey of existing quantum libraries, providing insights into the challenges associated with testing these programs. Building upon this understanding, we present a systematic testing process tailored to the intricacies of quantum programming. The process covers unit testing and integration testing, with a focus on aspects such as IO analysis, quantum relation checking, structural testing, behavior testing, and test case generation. We also introduce novel testing principles and criteria to guide the testing process. To evaluate our proposed approach, we conduct comprehensive testing on typical quantum subroutines, including diverse mutations and randomized inputs. The analysis of failures provides valuable insights into the effectiveness of our testing methodology. Additionally, we present case studies on representative multi-subroutine quantum programs, demonstrating the practical application and effectiveness of our proposed testing processes, principles, and criteria.

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