Verified compiling in the presence of error

Two Key Challenges

Compile quantum programs to ‘machine code’ that minimises computational error, by exploiting fine-grained  information about errors inherent in the compilation process and hardware platform.

Verify the correctness of approximate and error-prone computations, up to quantifiable error bounds.

Research Idea

Provide solutions to the problem of compilation where the dual aspects of compilation and verification go hand-in-hand, each being used to inform the other.

Use this interplay to design fundamentally new types of compilers (i.e. that can handle error) and ones that come with powerful verification techniques

Methodology

Start with two academic compilers…

  • PyZX & QuiZX: open-source libraries for quantum circuit optimisation, routing, simulation, and verification using the ZX-calculus [Kissinger]

  • 2QAN: An open-source approximate application-specific compiler for Hamiltonian simulation [Browne]

… and add increasingly sophisticated error modelling.

The Team

Dan Browne

Aleks Kissinger

Noah Linden

Tom Melham