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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…

Quantum Physics · Physics 2013-05-29 Jonathan A. Jones

Systematic errors hinder precise quantum control. Pulse length errors (PLEs) and off-resonance errors (OREs) are typical systematic errors that are encountered during one-qubit control. A composite pulse (CP) can help compensate for the…

Quantum Physics · Physics 2022-09-14 Shingo Kukita , Haruki Kiya , Yasushi Kondo

A number of composite pulse (CP) sequences for four basic quantum phase gates -- the Z, S, T and general phase gates -- are presented. The CP sequences contain up to 18 pulses and can compensate up to eight orders of experimental errors in…

Quantum Physics · Physics 2024-07-02 Hayk L. Gevorgyan , Nikolay V. Vitanov

In NMR experiments and quantum computation, many pulse (quantum gate) sequences called the composite pulses, were developed to suppress one of two dominant errors; a pulse length error and an off-resonance error. We describe, in this paper,…

Quantum Physics · Physics 2012-12-19 Masamitsu Bando , Tsubasa Ichikawa , Yasushi Kondo , Mikio Nakahara

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…

Quantum Physics · Physics 2009-09-08 Jonathan A. Jones

Composite pulses --- sequences of pulses with well defined relative phases --- are an efficient, robust and flexible technique for coherent control of quantum systems. Composite sequences can compensate a variety of experimental errors in…

Quantum Physics · Physics 2019-08-21 Boyan T. Torosov , Nikolay V. Vitanov

We describe the use of composite rotations to combat systematic errors in single qubit quantum logic gates and discuss three families of composite rotations which can be used to correct off-resonance and pulse length errors. Although…

Quantum Physics · Physics 2007-05-23 H. K. Cummins , G. Llewellyn , J. A. Jones

Composite pulses are an efficient tool for robust quantum control. In this work, we derive the form of the composite pulse sequence to implement robust single-qubit gates in a three-level system, where two low-energy levels act as a qubit.…

Quantum Physics · Physics 2021-05-27 Zhi-Cheng Shi , Hai-Ning Wu , Li-Tuo Shen , Yan Xia , X. X. Yi , Shi-Biao Zheng

Systematic control errors remain a primary obstacle to realizing high-fidelity single-qubit gates. We introduce composite pulse sequences that implement X and Hadamard gates while simultaneously compensating amplitude (Rabi-frequency),…

Quantum Physics · Physics 2026-05-01 Hristo G. Tonchev , Nikolay V. Vitanov

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…

Quantum Physics · Physics 2009-11-10 D. Mc Hugh , J. Twamley

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 (NMR) realises such a robust operation by…

Quantum Physics · Physics 2012-09-04 Tsubasa Ichikawa , Masamitsu Bando , Yasushi Kondo , Mikio Nakahara

Composite pulses have found widespread use in both conventional Nuclear Magnetic Resonance experiments and in experimental quantum information processing to reduce the effects of systematic errors. Here we describe several families of time…

Quantum Physics · Physics 2013-03-25 Sami Husain , Minaru Kawamura , Jonathan A. Jones

Accurate quantum control is a key technology for realizing quantum information processing, such as quantum communication and quantum computation. In reality, a quantum state under control suffers from undesirable effects caused by…

Quantum Physics · Physics 2022-11-09 Shingo Kukita , Haruki Kiya , Yasushi Kondo

Composite pulses are a quantum control technique for canceling out systematic control errors. We present a new composite pulse sequence inspired by quantum search. Our technique can correct a wider variety of systematic errors -- including,…

Quantum Physics · Physics 2007-05-23 Ben W. Reichardt , Lov K. Grover

We discuss the implementation of arbitrary precision composite pulses developed using the methods of Brown et al. [Phys. Rev. A 70 (2004) 052318]. We give explicit results for pulse sequences designed to tackle both the simple case of pulse…

Quantum Physics · Physics 2007-11-05 William G. Alway , Jonathan A. Jones

A frequently encountered source of systematic error in quantum computations is imperfections in the control pulses which are the classical fields that control qubit gate operations. From an analysis of the quantum mechanical time-evolution…

Quantum Physics · Physics 2021-05-14 Qile David Su

Systematic errors in quantum operations can be the dominating source of imperfection in achieving control over quantum systems. This problem, which has been well studied in nuclear magnetic resonance, can be addressed by replacing single…

Quantum Physics · Physics 2007-05-23 Kenneth Brown , Aram Harrow , Isaac Chuang

High-precision, robust quantum gates are essential components in quantum computation and information processing. In this study, we present an alternative perspective, exploring the potential applicability of quantum gates that exhibit…

Quantum Physics · Physics 2024-12-10 Hayk L. Gevorgyan

Implementing a single qubit unitary is often hampered by imperfect control. Systematic amplitude errors $\epsilon$, caused by incorrect duration or strength of a pulse, are an especially common problem. But a sequence of imperfect pulses…

Quantum Physics · Physics 2014-10-02 Guang Hao Low , Theodore J. Yoder , Isaac L. Chuang

We implement an ensemble quantum counting algorithm on three NMR spectrometers with 1H resonance frequencies of 500, 600 and 750 MHz. At higher frequencies, the results deviate markedly from naive theoretical predictions. These systematic…

Quantum Physics · Physics 2009-10-31 H. K. Cummins , J. A. Jones
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