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数理解析研究所講究録

Phase-creation algorithm to solve and extended Deutsch problem with an implementation on an NMR quantum computer (Analytical Study of Quantum Information and Related Fields)

Hiroshi Ozawa

Published May 1, 2002• 0 citations
OpenAlex

Abstract

The Deutsch-Jozsa algorithm to implement an $f$ -controUed-NOT transformation on a quantum computer was generalized to create arbitrary phases.This phase-creation algorithm was applied to solve an extended Deutsch problem for afunction that maps $\{0, 1\}^{n}$ to $\{0, 1\}^{m}$ .Implementation of the algorithm on an NMR quantum computer is discussed.

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数理解析研究所講究録•Apr 1, 2000•0 citations
The Deutsch-Jozsa algorithm to implement an fff -controUed-NOT transformation on a quantum computer was generalized to create arbitrary phases.This phase-creation algorithm was applied to solve an extended Deutsch problem for afunction that maps {0,1}n\{0, 1\}^{n}{0,1}n to {0,1}m\{0, 1\}^{m}{0,1}m .Implementation of the algorithm on an NMR quantum computer is discussed.
The Deutsch-Jozsa algorithm to implement an f-controlled-NOT transformation on a quantum computer was generalized to create arbitrary phases. This phase-creation algorithm was applied to solve an extended Deutsch problem for a function that maps 0,1n{0,1{}}^{n}0,1n to 0,1m.{0,1{}}^{m}.0,1m. Implementation of the algorithm on a NMR quantum computer is discussed.
A detailed description of the development of a three qubit NMR realization of the Deutsch-Jozsa algorithm [Collins et.al., Phys. Rev. A 62, 022304 (2000)] is provided. The theoretical and experimental techniques used for the reduction of the algorithm's evolution steps into a sequence of NMR pulses are discussed at length. This includes the description of general pulse sequence compilation techniques, various schemes for indirectly coupled gate realizations, experimental pulse parameterization techniques and bookkeeping methods for pulse phases.