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

Composite pulses for NMR measurements 複合パルスのNMR 測定への応用

Kazuki Matsushima, Masamitsu Bando, Tsubasa Ichikawa, Mikio Nakahara, Yasushi Kondo

Published Feb 1, 2014• 0 citations
OpenAlex

Abstract

概要 Quantum operations robust against random noise and systematic errors are essential ingredients in the quantum control. We have theoretically studied such robust quantum operations against the errors, that consist of several elementary operations and are called composite quantum gates. In this article, we experimentally discuss the robustness of various composite quantum gates by using NMR (Nuclear Magnetic Resonance) that is one of the most familiar quantumly controlled systems.

Related papers

Composite pulses for NMR measurements

K Matsushima, M. Bando, Ichikawa, T +2 more

[Abstract] Quantum operations robust against random noise and systematic errors are essential ingredients in the quantum control. We have theoretically studied such robust quantum operations against the errors, that consist of several elementary operations and are called composite quantum gates. In this article, we experimentally discuss the robustness of various composite quantum gates by using NMR (Nuclear Magnetic Resonance) that is one of the most familiar quantumly controlled systems. [概要] 量子制御には乱雑なノイズや系統的なエラーの影響を受け難い量子操作が必要である。我々は今までエラー耐性を持つ量子操作（複数の基本的な量子操作を組み合わせた複合量子ゲート）の理論的な研究を主に行ってきた。本稿では、最も身近な量子制御であるNMR（核磁気共鳴）を用いて、様々な複合量子ゲートのエラー耐性を実験的に調べる。

•Feb 1, 2014•0 citations

Designing short robust not gates for quantum computation

Jonathan A. Jones

Composite pulses, originally developed in nuclear magnetic resonance (NMR), have found widespread use in experimental quantum information processing (QIP) to reduce the effects of systematic errors. Most pulses used so far have simply been adapted from existing NMR designs, and while techniques have been developed for designing composite pulses with arbitrary precision, the results have been quite complicated and have found little application. Here, I describe techniques for designing short but effective composite pulses to implement robust not gates, bringing together existing insights from NMR and QIP, and present some composite pulses.

arXiv:1303.1745•Physical Review A•May 20, 2013•50 citations

Robust quantum information processing with techniques from liquid–state NMR

Jonathan A. Jones

While nuclear-magnetic-resonance (NMR) techniques are unlikely to lead to a large-scale quantum computer, they are well suited to investigating basic phenomena and developing new techniques. Indeed, it is likely that many existing NMR techniques will find uses in quantum information processing. Here I describe how the composite-rotation (composite-pulse) method can be used to develop quantum logic gates which are robust against systematic errors.

arXiv:quant-ph/0301019•Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences•Jul 15, 2003•19 citations

Sixth-order robust gates for quantum control

D. Mc Hugh, Jason Twamley

Composite pulse sequences designed for nuclear magnetic resonance experiments are currently being applied in many quantum information processing technologies. We present an analysis of a family of composite pulse sequences used to address systematic pulse-length errors in the execution of quantum gates. It has been demonstrated by Cummins et al. [Phys. Rev. A 67, 042308 (2003)] that for this family of composite pulse sequences, the fidelity of the resulting unitary operation compared with the ideal unitary operation is $1\ensuremath{-}C{ϵ}^{6}$, where $ϵ$ is the fractional error in the length of the pulse. We derive an exact expression for the sixth-order coefficient $C$ and from this deduce conditions under which this sixth-order dependence is observed. We also present pulse sequences which achieve the same fidelity.

arXiv:quant-ph/0404127•Physical Review A•Jan 19, 2005•13 citations

Geometric aspects of composite pulses

Tsubasa Ichikawa, Masamitsu Bando, Yasushi Kondo +1 more

Unitary operations acting on a quantum system must be robust against systematic errors in control parameters for reliable quantum computing. Composite pulse technique in nuclear magnetic resonance realizes such a robust operation by employing a sequence of possibly poor-quality pulses. In this study, we demonstrate that two kinds of composite pulses-one compensates for a pulse length error in a one-qubit system and the other compensates for a J-coupling error in a two-qubit system-have a vanishing dynamical phase and thereby can be seen as geometric quantum gates, which implement unitary gates by the holonomy associated with dynamics of cyclic vectors defined in the text.

arXiv:1204.2437•Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences•Sep 3, 2012•30 citations

Composite pulses in NMR quantum computation

Jonathan A. Jones

I describe the use of techniques based on composite rotations to combat systematic errors in quantum logic gates. Although developed and described within the context of Nuclear Magnetic Resonance (NMR) quantum computing these sequences should be applicable to other implementations of quantum computation.

arXiv:0906.4719•Journal of the Indian Institute of Science•Jun 25, 2009•6 citations
概要 Quantum operations robust against random noise and systematic errors are essential ingredients in the quantum control. We have theoretically studied such robust quantum operations against the errors, that consist of several elementary operations and are called composite quantum gates. In this article, we experimentally discuss the robustness of various composite quantum gates by using NMR (Nuclear Magnetic Resonance) that is one of the most familiar quantumly controlled systems.
[Abstract] Quantum operations robust against random noise and systematic errors are essential ingredients in the quantum control. We have theoretically studied such robust quantum operations against the errors, that consist of several elementary operations and are called composite quantum gates. In this article, we experimentally discuss the robustness of various composite quantum gates by using NMR (Nuclear Magnetic Resonance) that is one of the most familiar quantumly controlled systems. [概要] 量子制御には乱雑なノイズや系統的なエラーの影響を受け難い量子操作が必要である。我々は今までエラー耐性を持つ量子操作（複数の基本的な量子操作を組み合わせた複合量子ゲート）の理論的な研究を主に行ってきた。本稿では、最も身近な量子制御であるNMR（核磁気共鳴）を用いて、様々な複合量子ゲートのエラー耐性を実験的に調べる。
Composite pulses, originally developed in nuclear magnetic resonance (NMR), have found widespread use in experimental quantum information processing (QIP) to reduce the effects of systematic errors. Most pulses used so far have simply been adapted from existing NMR designs, and while techniques have been developed for designing composite pulses with arbitrary precision, the results have been quite complicated and have found little application. Here, I describe techniques for designing short but effective composite pulses to implement robust not gates, bringing together existing insights from NMR and QIP, and present some composite pulses.
Composite pulse sequences designed for nuclear magnetic resonance experiments are currently being applied in many quantum information processing technologies. We present an analysis of a family of composite pulse sequences used to address systematic pulse-length errors in the execution of quantum gates. It has been demonstrated by Cummins et al. [Phys. Rev. A 67, 042308 (2003)] that for this family of composite pulse sequences, the fidelity of the resulting unitary operation compared with the ideal unitary operation is $1\ensuremath{-}C{ϵ}^{6}$, where ϵϵϵ is the fractional error in the length of the pulse. We derive an exact expression for the sixth-order coefficient CCC and from this deduce conditions under which this sixth-order dependence is observed. We also present pulse sequences which achieve the same fidelity.
Unitary operations acting on a quantum system must be robust against systematic errors in control parameters for reliable quantum computing. Composite pulse technique in nuclear magnetic resonance realizes such a robust operation by employing a sequence of possibly poor-quality pulses. In this study, we demonstrate that two kinds of composite pulses-one compensates for a pulse length error in a one-qubit system and the other compensates for a J-coupling error in a two-qubit system-have a vanishing dynamical phase and thereby can be seen as geometric quantum gates, which implement unitary gates by the holonomy associated with dynamics of cyclic vectors defined in the text.