Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Elsevier eBooks

Implementation of Quantum Algorithms by NMR

Ivan S. Oliveira, Tito José Bonagamba, Roberto S. Sarthour, Jair C. C. Freitas, Eduardo Ribeiro DeAzevedo

Published Jan 1, 2007• 0 citations
Publisher
DOI
10.1016/b978-044452782-0/50007-5

Related papers

Quantum Computation with NMR

Jonathan A. Jones

WORLD SCIENTIFIC eBooks•Jan 1, 2001•2 citations

Implementation of a quantum algorithm on a nuclear magnetic resonance quantum computer

J. A. Jones, M. Mosca

Quantum computing shows great promise for the solution of many difficult problems, such as the simulation of quantum systems and the factorization of large numbers. While the theory of quantum computing is fairly well understood, it has proved difficult to implement quantum computers in real physical systems. It has recently been shown that nuclear magnetic resonance (NMR) can be used to implement small quantum computers using the spin states of nuclei in carefully chosen small molecules. Here we demonstrate the use of a NMR quantum computer based on the pyrimidine base cytosine, and the implementation of a quantum algorithm to solve Deutsch’s problem (distinguishing between constant and balanced functions). This is the first successful implementation of a quantum algorithm on any physical system.

arXiv:quant-ph/9801027•The Journal of Chemical Physics•Aug 1, 1998•399 citations

NMR quantum computation

Jonathan A. Jones

Progress in Nuclear Magnetic Resonance Spectroscopy•Jun 1, 2001•177 citations

Factoring Algorithms Based on NMR Quantum Computers (Computer Algebra : Algorithms, Implementations and Applications)

Noboru Kunihiro, Shigeru Yamashita

No polynomial time algorithms have been proposed for the factoring and discrete logarithm problems.However, Shor showed that these problems can be solved by aquantum Turing machine in 1994.Sev- eral devices have been proposed toward the realization of quantum computers.Among them, the NMR quantum computer seems to be the nearest to the target goal.Since the NMR quantum computer has different features from ordinary ones, we cannot directly implement Shor's algorithms.In this paper, we propose new simple algorithms that work on NMR quantum computers to solve the factoring and discrete logarithm problems.

数理解析研究所講究録•Nov 1, 2002•1 citation

Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm

Arvind, *, Kavita Dorai, Anil Kumar

A scheme to execute an \\eta-bit Deutsch-Jozsa (DJ) algorithm using \\eta qubits has been implemented for up to three qubits on an NMR quantum computer. For the one- and the two-bit Deutsch problem, the qubits do not get entangled, and the NMR implementation is achieved without using spin-spin interactions. It is for the three-bit case, that the manipulation of entangled states becomes essential. The interactions through scalar J-couplings in NMR spin systems have been exploited to implement entangling transformations required for the three bit DJ algorithm.

•May 1, 2001•13 citations

Quantum computing with NMR

Jonathan A. Jones

arXiv:1011.1382•Progress in Nuclear Magnetic Resonance Spectroscopy•Nov 9, 2010•188 citations
Quantum computing shows great promise for the solution of many difficult problems, such as the simulation of quantum systems and the factorization of large numbers. While the theory of quantum computing is fairly well understood, it has proved difficult to implement quantum computers in real physical systems. It has recently been shown that nuclear magnetic resonance (NMR) can be used to implement small quantum computers using the spin states of nuclei in carefully chosen small molecules. Here we demonstrate the use of a NMR quantum computer based on the pyrimidine base cytosine, and the implementation of a quantum algorithm to solve Deutsch’s problem (distinguishing between constant and balanced functions). This is the first successful implementation of a quantum algorithm on any physical system.
No polynomial time algorithms have been proposed for the factoring and discrete logarithm problems.However, Shor showed that these problems can be solved by aquantum Turing machine in 1994.Sev- eral devices have been proposed toward the realization of quantum computers.Among them, the NMR quantum computer seems to be the nearest to the target goal.Since the NMR quantum computer has different features from ordinary ones, we cannot directly implement Shor's algorithms.In this paper, we propose new simple algorithms that work on NMR quantum computers to solve the factoring and discrete logarithm problems.
A scheme to execute an \\eta-bit Deutsch-Jozsa (DJ) algorithm using \\eta qubits has been implemented for up to three qubits on an NMR quantum computer. For the one- and the two-bit Deutsch problem, the qubits do not get entangled, and the NMR implementation is achieved without using spin-spin interactions. It is for the three-bit case, that the manipulation of entangled states becomes essential. The interactions through scalar J-couplings in NMR spin systems have been exploited to implement entangling transformations required for the three bit DJ algorithm.