Nathan Wiebe: Quantum arithmetic and numerical analysis using Repeat-Until-Success circuits
Nathan Wiebe, Microsoft Research
We develop a method for approximate synthesis of single--qubit rotations of the form e^{-i f(\phi_1,\ldots,\phi_k)X} that is based on the Repeat-Until-Success (RUS) framework for quantum circuit synthesis. We demonstrate how smooth computable functions, f, can be synthesized from two basic primitives. This synthesis approach constitutes a manifestly quantum form of arithmetic that differs greatly from the approaches commonly used in quantum algorithms.