Variational circuit compiler for quantum error correction

摘要: Quantum error correction is vital for implementing universal quantum computing. A key component the encoding circuit that maps a product state of physical qubits into encoded multipartite entangled logical state. Known methods are typically not optimal either in terms depth (and therefore burden) or specifics target platform, i.e. native gates and topology system. This work introduces variational compiler efficiently finding general correcting codes with given hardware. Focusing on noisy intermediate scale regime, we show how to systematically compile so it has minimal number operations allowed by hardware can achieve highest fidelity gates. We demonstrate our method deriving novel encoders logic states five qubit code seven Steane code. Our applicable quite generally compiling circuits codes.