ASM Specification and Refinement of a Quantum Algorithm

This chapter delves into the application of Prof. Egon Börger's ASM method for high-level system design and analysis to the field of quantum algorithms. The ASM method, built on Gurevich's abstract state machines, offers a robust framework for rigorous specification and validation of complex systems. Despite its success in various domains, the ASM method has not been extensively applied to quantum systems. This chapter addresses this gap by presenting a detailed specification and refinement of Grover's quantum algorithm using quantum ASMs. Grover's algorithm is a well-known quantum search algorithm that outperforms classical algorithms for certain problems. The chapter provides a step-by-step refinement, from high-level modeling to implementation, demonstrating how the ASM method can be adapted to capture the intricacies of quantum computing. This work not only provides concrete evidence of the ASM method's applicability to quantum systems but also paves the way for further research in this area. By showcasing the potential of the ASM method in quantum algorithm design, this chapter offers valuable insights for professionals seeking to advance the field of quantum computing.