Quantum Logic Gates and Nuclear Magnetic Resonance Pulse Sequences

Abstract

We demonstrate how NMR can in principle be used to implement all the elements required to build quantum computers, and briefly discuss the potential applications of insights from quantum logic to the development of novel pulse sequences with applications in more conventional NMR experiments.

Sixteen pages, no figures. Submitted to Journal of Magnetic Resonance. Primarily pedagogical rather than a description of novel research results

References in corpus (5)

• Experimental realization of a quantum algorithm
• Experimental Quantum Error Correction
• Implementation of a Quantum Search Algorithm on a Nuclear Magnetic Resonance Quantum Computer
• Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
• Implementation of a Quantum Algorithm to Solve Deutsch's Problem on a Nuclear Magnetic Resonance Quantum Computer

Cited by in corpus (40)

• Geometric quantum computation with NMR
• Information and Computation: Classical and Quantum Aspects
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• Quantum Circuit Simplification and Level Compaction
• Geometric Quantum Computation
• Quantum Computing with NMR
• Efficient Refocussing of One Spin and Two Spin Interactions for NMR Quantum Computation
• Implementing quantum logic operations, pseudo-pure states and the Deutsch-Jozsa algorithm using non-commuting selective pulses in NMR
• Classical model for bulk-ensemble NMR quantum computation
• Use of composite rotations to correct systematic errors in NMR quantum computation
• NMR Quantum Logic Gates for Homonuclear Spin Systems
• Implementing unitary operators in quantum computation
• Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor
• Efficient construction of three- and four-qubit quantum gates by global entangling gates
• Hadamard Products of Product Operators and the Design of Gradient-Diffusion Experiments for Simulating Decoherence by NMR Spectroscopy
• Implementation of a Deutsch-like quantum algorithm utilizing entanglement at the two-qubit level, on an NMR quantum information processor
• Experimental Measurement of Mixed State Geometric Phase by Quantum Interferometry using NMR
• Implementation of NMR quantum computation with para-hydrogen derived high purity quantum states
• Robust Logic Gates and Realistic Quantum Computation
• NMR C-NOT gate through Aharanov-Anandan's phase shift
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• Controlling NMR spin systems for quantum computation
• Quantum entanglement in the NMR implementation of the Deutsch-Jozsa algorithm
• 'Algorithmic cooling' in a momentum state quantum computer
• Fault Models for Quantum Mechanical Switching Networks
• Experimental Realization of Brüschweiler's exponentially fast search algorithm in a homo-nuclear system
• Teleportation with trapped ions in a magnetic field gradient
• Relaxation of Pseudo pure states : The Role of Cross-Correlations
• Expected Optimal Time for the NMR Implementation of Shor's Algorithm for Factorising 15
• Entanglement dynamics of two qubits under the influence of external kicks and Gaussian pulses
• Sudden switching in qubits
• Quantum compiling with a variational instruction set for accurate and fast quantum computing
• Control and manipulation of entanglement between two coupled qubits by fast pulses
• Measurement of Translational Diffusion Constant using Noon State
• PULSEE: A software for the quantum simulation of an extensive set of magnetic resonance observables
• Quantum Computing by Two-Dimensional NMR using Spin- and Transition-Selective Pulses
• Temporal imperfections building up correcting codes
• Nuclear Spins as Quantum Testbeds: Singlet States, Quantum Correlations, and Delayed-choice Experiments
• Principles and Demonstrations of Quantum Information Processing by NMR Spectroscopy
• Ancilla Assisted Quantum Information Processing: General protocols and NMR implementations