Quantum Circuits and Compilation

This book is intended to be a comprehensive resource about quantum compilation. This is the process that a quantum algorithm goes through, starting from a human-readable description, down to the set of instructions that the quantum computer will actually perform. It will provide an overview of how quantum computations are represented; cover the conversion into the native instruction set; describe a comprehensive set of strategies for how to do this optimally; and finally provide guidelines on how to implement these tools.

There is currently no canonical resource about quantum compilation. There are a few review papers, and some good overviews written as part of the documentation for various software packages, but there is not yet a comprehensive reference that covers the full compiler stack from a framework-agnostic, pedagogical standpoint, or that serves as a good desk resource for a practitioner working to implement their own compilation tools.