Nuclear magnetic resonance for quantum computing: Techniques and recent achievements

Abstract

Rapid developments in quantum information processing have been made, and remarkable achievements have been obtained in recent years, both in theory and experiments. Coherent control of nuclear spin dynamics is a powerful tool for the experimental implementation of quantum schemes in liquid and solid nuclear magnetic resonance (NMR) system, especially in liquid-state NMR. Compared with other quantum information processing systems, the NMR platform has the advantages such as the long coherence time, the precise manipulation, and well-developed quantum control techniques, which make it possible to accurately control a quantum system with up to 12-qubits. Extensive applications of liquid-state NMR spectroscopy in quantum information processing such as quantum communication, quantum computing, and quantum simulation have been thoroughly studied over half a century. This article introduces the general principles of NMR quantum information processing, and reviews the new-developed techniques. The review will also include the recent achievements of the experimental realization of quantum algorithms for machine learning, quantum simulations for high energy physics, and topological order in NMR. We also discuss the limitation and prospect of liquid-state NMR spectroscopy and the solid-state NMR systems as quantum computing in the article.

A noise-resisted scheme of dynamical decoupling pulses for quantum memories

“…In contrast, our approach has the advantages that corrects both amplitude and detuning noise errors while being sufficiently flexible for incorporation into arbitrary gate operations. We also note that in the NMR field, recently a number of methods have been developed to suppress the noises by topological DD method 47 – 49 , or by eliminating the errors in the synthesizers 50 – 52 .…”

Quantum Computing 2022

“…In Nuclear Magnetic Resonance (NMR), the quantum spin of nuclei in a strong applied magnetic field is accessed and manipulated with microwave pulses [28]. Although not widely pursued at the industrial level, NMR quantum computing has important conceptual significance.…”

Superconducting nanowire single-photon detectors for quantum information

“…However, the 100-qubit quantum computer will not change the world immediately; we should consider it as a significant step toward achieving more powerful quantum technologies in the future [53]. Unlike the quantum communication mostly based on photon/optical quantum, quantum computers can be built using several different physical qubits, including superconducting circuits [52], trapped ions [54], quantum dots [55,56], nuclear magnetic resonance [57], nitrogen-vacancy centers in diamond [58], and photons [59]. In addition to the superconducting quantum computer, the optical quantum computer has approached a milestone in terms of quantum advantage.…”