Quantum Algorithms and Circuits for Scientific Computing

Autor:	Bhaskar, Mihir K., Hadfield, Stuart, Papageorgiou, Anargyros, Petras, Iasonas
Rok vydání:	2015
Předmět:	Quantum Physics Computer Science - Numerical Analysis
Zdroj:	Quantum Information and Computation. 16, no. 3&4 (2016): 0197-0236
Druh dokumentu:	Working Paper
Popis:	Quantum algorithms for scientific computing require modules implementing fundamental functions, such as the square root, the logarithm, and others. We require algorithms that have a well-controlled numerical error, that are uniformly scalable and reversible (unitary), and that can be implemented efficiently. We present quantum algorithms and circuits for computing the square root, the natural logarithm, and arbitrary fractional powers. We provide performance guarantees in terms of their worst-case accuracy and cost. We further illustrate their performance by providing tests comparing them to the respective floating point implementations found in widely used numerical software. Comment: 43 pages, 11 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.08253 Zobrazit plný text záznamu View this record from Arxiv