publication . Preprint . Article . 2014

Quantum arithmetic and numerical analysis using Repeat-Until-Success circuits

Nathan Wiebe; Martin Roetteler;
Open Access English
  • Published: 08 Jun 2014
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. The key advantage of our approach is that it requires far fewer qubits than existing approaches: as a case in point, we show that using as few as $3$ ancilla qubits, one can obtain RUS circuits for approximate m...
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arXiv: Computer Science::Emerging Technologies
free text keywords: Quantum Physics, Computer Science - Numerical Analysis, Computational Theory and Mathematics, General Physics and Astronomy, Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Theoretical Computer Science
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