Implementation of controlled phase shift gates and Collins version of Deutsch–Jozsa algorithm on a quadrupolar spin-7/2 nucleus using non-adiabatic geometric phases

2008/04/17 by T. Gopinath, Tata Gopinath, Anil Kumar · 18 citations
Chemistry · Computer Science · Physics and Astronomy · #Adiabatic process #Algorithm #Computer science #Condensed matter physics #Geometric phase #Molecular spectroscopy and chirality #Nucleus #Phase (matter) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum computer #Quantum mechanics #Qubit #Spin (aerodynamics) #Thermodynamics #Work (physics) #quant-ph

paper · pdf · doi:10.1016/j.jmr.2008.04.018

published in Journal of Magnetic Resonance 193(2), 168-176 (Elsevier BV) · 23 pages, 7 figures

openalex publication_date 2008/04/17 · arxiv created 2009/09/22 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this work Controlled phase shift gates are implemented on a qaudrupolar system, by using non-adiabatic geometric phases. A general procedure is given, for implementing controlled phase shift gates in an 'N' level system. The utility of such controlled phase shift gates, is demonstrated here by implementing 3-qubit Deutsch-Jozsa algorithm on a 7/2 quadrupolar nucleus oriented in a liquid crystal matrix.

Citations

• Geometric quantum computation using nuclear magnetic resonance
• Implementation of a quantum algorithm on a nuclear magnetic resonance quantum computer
• Solution of the Deutsch-Josza Problem by NMR Ensemble Computing without Sensitivity Scaling
• Experimental realization of a quantum algorithm
• NMR simulation of an eight-state quantum system
• Deutsch-Jozsa algorithm as a test of quantum computation
• Nonadiabatic Conditional Geometric Phase Shift with NMR
• Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
• Quantum Algorithms Revisited
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• Quantum theory, the Church–Turing principle and the universal quantum computer
• Experimental Implementation of an Adiabatic Quantum Optimization Algorithm
• Quantum-information processing using strongly dipolar coupled nuclear spins