Implementing quantum-logic operations, pseudopure states, and the Deutsch-Jozsa algorithm using noncommuting selective pulses in NMR

1999/06/30 by Kavita Dorai, Arvind, Arvind Arvind +1 · 91 citations
Computer Science · Physics and Astronomy · #Algorithm #Computation #Computer science #Physics #Pulse (music) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum logic #Quantum mechanics #Qubit #Spin (aerodynamics) #State (computer science) #quant-ph

paper · pdf · doi:10.1103/physreva.61.042306

published in Physical Review A 61(4) (American Physical Society) · Final version to Appear in Phys. Rev. A April 2000

arxiv created 2000/02/05 · openalex publication_date 2000/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We demonstrate experimentally the usefulness of selective pulses in NMR to perform quantum computation. Three different techniques based on selective pulse excitations have been proposed to prepare a spin system in a pseudopure state. We describe the design of ``portmanteau'' gates using the selective manipulation of level populations. A selective pulse implementation of the Deutsch-Jozsa algorithm for two and three-qubit quantum computers is demonstrated.

Citations

• Implementation of a quantum algorithm on a nuclear magnetic resonance quantum computer
• Experimental realization of a quantum algorithm
• Two-Bit Gates are Universal for Quantum Computation
• Elementary gates for quantum computation
• Simulating physics with computers
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Quantum Computation

Cited by

• Characteristics and benchmarks of entanglement of mixed states: The two-qubit case
• Cavity QED implementation of the multi-qubit refined Deutsch–Jozsa algorithm
• Experimental implementation of the Deutsch-Jozsa algorithm for three-qubit functions using pure coherent molecular superpositions
• Use of quadrupolar nuclei for quantum-information processing by nuclear magnetic resonance: Implementation of a quantum algorithm