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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

I describe the use of techniques based on composite rotations to combat systematic errors in controlled phase gates, which form the basis of two qubit quantum logic gates. Although developed and described within the context of Nuclear…

Quantum Physics · Physics 2007-05-23 Jonathan A. Jones

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

The composite rotation approach has been used to develop a range of robust quantum logic gates, including single qubit gates and two qubit gates, which are resistant to systematic errors in their implementation. Single qubit gates based on…

Quantum Physics · Physics 2009-11-11 Li Xiao , Jonathan A. Jones

We derive a set of composite pulse sequences that generates CNOT gates and correct all systematic errors within the logical subspace to arbitrary order. These sequences are applicable for any two-qubit interaction Hamiltonian, and make no…

Quantum Physics · Physics 2017-04-19 Fernando A. Calderon-Vargas , J. P. Kestner

The Hamiltonian control of n qubits requires precision control of both the strength and timing of interactions. Compensation pulses relax the precision requirements by reducing unknown but systematic errors. Using composite pulse techniques…

Quantum Physics · Physics 2015-05-13 Yu Tomita , J. True Merrill , Kenneth R. Brown

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…

Quantum Physics · Physics 2007-05-23 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

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

We propose various composite $\pi$-pulse sequences for implementing robust z-axis rotation gates widely used in quantum information processing (QIP) scenarios, and discuss their error tolerance of the pulse strength error (PSE) and…

Quantum Physics · Physics 2019-10-03 Li Zhang , Shihao Zhang

Quantum error correcting codes protect quantum computation from errors caused by decoherence and other noise. Here we study the problem of designing logical operations for quantum error correcting codes. We present an automated procedure…

Quantum Physics · Physics 2022-10-25 Hongxiang Chen , Michael Vasmer , Nikolas P. Breuckmann , Edward Grant

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

Coherent gate errors are a concern in many proposed quantum computing architectures. These errors can be effectively handled through composite pulse sequences for single-qubit gates, however, such techniques are less feasible for entangling…

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, 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

Composite pulses provide a simple means for constructing quantum logic gates which are robust to small errors in the control fields used to implement them. Here I describe how antisymmetric composite NOT gates can be nested to produce gates…

Quantum Physics · Physics 2013-09-27 Jonathan A. Jones

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

Error mitigation schemes and error-correcting codes have been the center of much effort in quantum information processing research over the last few decades. While most of the successful proposed schemes for error mitigation are…

Quantum Physics · Physics 2023-10-24 Ido Kaplan , Muhammad Erew , Yonatan Piasetzky , Moshe Goldstein , Yaron Oz , Haim Suchowski

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

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
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