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We present an iterative optimal control method of quantum systems, aimed at an implementation of a desired operation with optimal fidelity. The update step of the method is based on the linear response of the fidelity to the control…

Quantum Physics · Physics 2025-02-06 Nicolas Heimann , Lukas Broers , Ludwig Mathey

Gradient ascent pulse engineering algorithm (GRAPE) is a typical method to solve quantum optimal control problems. However, it suffers from an exponential resource in computing the time evolution of quantum systems with the increasing…

Quantum Physics · Physics 2022-12-09 Yuquan Chen , Yajie Hao , Ze Wu , Bi-Ying Wang , Ran Liu , Yanjun Hou , Jiangyu Cui , Man-Hong Yung , Xinhua Peng

We report some improvements to the gradient ascent pulse engineering (GRAPE) algorithm for optimal control of quantum systems. These include more accurate gradients, convergence acceleration using the BFGS quasi-Newton algorithm as well as…

Quantum Physics · Physics 2014-07-16 P. de Fouquieres , S. G. Schirmer , S. J. Glaser , Ilya Kuprov

Efficient approaches to quantum control and feedback are essential for quantum technologies, from sensing to quantum computation. Open-loop control tasks have been successfully solved using optimization techniques, including methods like…

Quantum Physics · Physics 2023-08-02 Riccardo Porotti , Vittorio Peano , Florian Marquardt

Gradient Ascent Pulse Engineering (GRAPE) is a popular technique in quantum optimal control, and can be combined with automatic differentiation (AD) to facilitate on-the-fly evaluation of cost-function gradients. We illustrate that the…

Quantum Physics · Physics 2024-03-07 Yunwei Lu , Sandeep Joshi , Vinh San Dinh , Jens Koch

The Gradient Ascent Pulse Engineering (GRAPE) is a celebrated control algorithm with excellent converging rates, owing to a piece-wise-constant ansatz for the control function that allows for cheap objective gradients. However, the…

Quantum Physics · Physics 2021-02-17 Martin Larocca , Diego Wisniacki

In designing quantum control, it is generally required to simulate the controlled system evolution with a classical computer. However, computing the time evolution operator can be quite resource-consuming since the total Hamiltonian is…

Quantum Physics · Physics 2022-10-25 Xiaodong Yang , Xinfang Nie , Yunlan Ji , Tao Xin , Dawei Lu , Jun Li

The GRadient Ascent Pulse Engineering (GRAPE) method is widely used for optimization in quantum control. GRAPE is gradient search method based on exact expressions for gradient of the control objective. It has been applied to coherently…

Quantum Physics · Physics 2023-07-18 Vadim Petruhanov , Alexander Pechen

Most studies in multiparameter estimation assume the dynamics is fixed and focus on identifying the optimal probe state and the optimal measurements. In practice, however, controls are usually available to alter the dynamics, which provides…

Quantum Physics · Physics 2017-10-30 Jing Liu , Haidong Yuan

Quantum optimal control methods, such as gradient ascent pulse engineering (GRAPE), are used for precise manipulation of quantum states. Many of those methods were pioneered in magnetic resonance spectroscopy where instrumental distortions…

Quantum Physics · Physics 2025-05-05 Uluk Rasulov , Ilya Kuprov

We study an implementation of the open GRAPE (Gradient Ascent Pulse Engineering) algorithm well suited for large open quantum systems. While typical implementations of optimal control algorithms for open quantum systems rely on explicit…

A central challenge for implementing quantum computing in the solid state is decoupling the qubits from the intrinsic noise of the material. We investigate the implementation of quantum gates for a paradigmatic, non-Markovian model: A…

Quantum Physics · Physics 2010-04-22 P. Rebentrost , I. Serban , T. Schulte-Herbrueggen , F. K. Wilhelm

Designing a high-quality control is crucial for reliable quantum computation. Among the existing approaches, closed-loop leaning control is an effective choice. Its efficiency depends on the learning algorithm employed, thus deserving…

Pulses to steer the time evolution of quantum systems can be designed with optimal control theory. In most cases it is the coherent processes that can be controlled and one optimizes the time evolution towards a target unitary process,…

Quantum Physics · Physics 2015-06-22 Daniel J. Egger , Frank K. Wilhelm

Designing optimal control for multiparameter quantum sensing is essential for approaching the ultimate precision limits. However, analytical solutions are generally available only for simple systems, while realistic scenarios often involve…

Quantum Physics · Physics 2025-12-15 Ayumi Kanamoto , Takuya Isogawa , Shunsuke Nishimura , Haidong Yuan , Paola Cappellaro

The double quantum dot device benefits from the advantages of both the spin and charge qubits, while offering ways to mitigate their drawbacks. Careful gate voltage modulation can grant greater spinlike or chargelike dynamics to the device,…

Mesoscale and Nanoscale Physics · Physics 2022-08-12 Vincent Reiher , Yves Bérubé-Lauzière

The experimental optimization of a two-qubit controlled-Z (CZ) gate is realized following two different data-driven gradient ascent pulse engineering (GRAPE) protocols in the aim of optimizing the gate operator and the output quantum state,…

Designing multi-qubit quantum logic gates with experimental constraints is an important problem in quantum computing. Here, we develop a new quantum optimal control algorithm for finding unitary transformations with constraints on the…

Quantum Physics · Physics 2025-08-25 Dylan Lewis , Roeland Wiersema , Sougato Bose

In this work, we review several results on development and application of incoherent version of GRAPE (Gradient Ascent Pulse Engineering) approach, inGRAPE, to optimization for open quantum systems driven by both coherent and incoherent…

Quantum Physics · Physics 2024-03-28 Vadim Petruhanov , Alexander Pechen

Work within this thesis advances optimal control algorithms for application to magnetic resonance systems. Specifically, presenting a quadratically convergent version of the gradient ascent pulse engineering method. The work is formulated…

Quantum Physics · Physics 2018-08-30 David L. Goodwin
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