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We propose a methodology to design optimal pulses for achieving quantum optimal control on molecular systems. Our approach constrains pulse shapes to linear combinations of a fixed number of experimentally relevant pulse functions. Quantum…

Quantum Physics · Physics 2015-10-28 Ruben D. Guerrero , Carlos A. Arango , Andres Reyes

High-order harmonic generation (HHG) in gases has been studied for almost 40 years in many different conditions, varying the laser wavelength, intensity, focusing geometry, target design, gas species, etc. However, no systematic…

Quantum optimal control methods are widely used to design experimental control pulses such as laser amplitudes, phases, or detunings, that implement a target unitary evolution. In practice, what makes a pulse "good" depends not only on its…

Quantum Physics · Physics 2026-04-29 Dylan Lewis , Roeland Wiersema

In this paper, we study the design of pulse sequences for NMR spectroscopy as a problem of time optimal control of the unitary propagator. Radio frequency pulses are used in coherent spectroscopy to implement a unitary transfer of state.…

Quantum Physics · Physics 2009-11-06 Navin Khaneja , Roger Brockett , Steffen Glaser

We establish that if a scheme can control a time-independent system arbitrarily coupled to a generic finite bath over a short period of time $T$ with control precision $O(T^{N+1})$, it can also realize the control with the same order of…

Quantum Physics · Physics 2011-06-14 Zhen-Yu Wang , Ren-Bao Liu

We consider quantum many-body systems evolving under a time-independent Hamiltonian $H$ from a nonequilibrium initial state at time $t=0$ towards a close-to-equilibrium state at time $t=\tau$. Subsequently, this state is slightly perturbed…

Statistical Mechanics · Physics 2020-05-27 Lennart Dabelow , Peter Reimann

We introduce a new approach for the robust control of quantum dynamics of strongly interacting many-body systems. Our approach involves the design of periodic global control pulse sequences to engineer desired target Hamiltonians that are…

Quantum Physics · Physics 2020-07-08 Joonhee Choi , Hengyun Zhou , Helena S. Knowles , Renate Landig , Soonwon Choi , Mikhail D. Lukin

Optimal pulse patterns (OPPs) are a modulation method in which the switching angles and levels of a switching signal are computed via an offline optimization procedure to minimize a performance metric, typically the harmonic distortions of…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Jared Miller , Petros Karamanakos

RF pulse design via optimal control is typically based on gradient and quasi-Newton approaches and therefore suffers from slow convergence. We present a flexible and highly efficient method that uses exact second-order information within a…

Optimization and Control · Mathematics 2017-02-27 Christoph Aigner , Christian Clason , Armin Rund , Rudolf Stollberger

Considering the problem of the control of a two-state quantum system by an external field, we establish a general and versatile method that allows the derivation of smooth pulses, suitable for ultrafast applications, that feature the…

Quantum Physics · Physics 2015-06-15 D. Daems , A. Ruschhaupt , D. Sugny , S. Guerin

We investigate the application of amplitude-shaped control pulses for enhancing the time and frequency resolution of multipulse quantum sensing sequences. Using the electronic spin of a single nitrogen vacancy center in diamond and up to…

Quantum Physics · Physics 2018-01-03 J. Zopes , K. Sasaki , K. S. Cujia , J. M. Boss , K. Chang , T. F. Segawa , K. M. Itoh , C. L. Degen

We design fixed-order strong H-infinity controllers for general time-delay systems. The designer chooses the controller order and may introduce constant time-delays in the controller. We represent the closed-loop system of the plant and the…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Suat Gumussoy , Wim Michiels

Composite pulses are essential for universal manipulation of singlet-triplet spin qubits. In the absence of noise, they are required to perform arbitrary single-qubit operations due to the special control constraint of a singlet-triplet…

Quantum Physics · Physics 2018-04-18 Xu-Chen Yang , Man-Hong Yung , Xin Wang

Avoiding the loss of coherence of quantum mechanical states is an important prerequisite for quantum information processing. Dynamical decoupling (DD) is one of the most effective experimental methods for maintaining coherence, especially…

Quantum Physics · Physics 2010-10-08 Gonzalo A. Alvarez , Ashok Ajoy , Xinhua Peng , Dieter Suter

We introduce a filter-construction method for pulse processing that differs in two respects from that in standard optimal filtering, in which the average pulse shape and noise-power spectral density are combined to create a convolution…

Data Analysis, Statistics and Probability · Physics 2012-12-11 B. K. Alpert , R. D. Horansky , D. A. Bennett , W. B. Doriese , J. W. Fowler , A. S. Hoover , M. W. Rabin , J. N. Ullom

The ability to control and exploit quantum coherence and entanglement drives research across many fields ranging from ultra-cold quantum gases to spin systems in condensed matter. Transcending different physical systems, optical approaches…

Mesoscale and Nanoscale Physics · Physics 2014-08-26 K. Müller , T. Kaldewey , R. Ripszam , J. S. Wildmann , A. Bechtold , M. Bichler , G. Koblmüller , G. Abstreiter , J. J. Finley

Inhomogeneity, in its many forms, appears frequently in practical physical systems. Readily apparent in quantum systems, inhomogeneity is caused by hardware imperfections, measurement inaccuracies, and environmental variations, and…

Optimization and Control · Mathematics 2011-02-21 Justin Ruths , Jr-Shin Li

Ultrafast laser systems, those with a pulse duration on the order of picoseconds or less, have enabled advancements in a wide variety of fields. Of particular interest to this work, these laser systems are the key component to many High…

Optics · Physics 2025-03-03 Sean M Buczek , Gilbert W Collins , Alexey Arefiev , Mario J Manuel

We address the possibility to control high power pulses extracted from the maximally compressed pulse in a nonlinear optical fiber by adjusting the initial excitation parameters. The numerical results show that the power, location and…

Optics · Physics 2013-09-18 Guangye Yang , Lu Li , Suotang Jia , Dumitru Mihalache

The predictability of extreme intensity pulses emitted by an optically injected semiconductor laser is studied numerically, by using a well-known rate equation model. We show that symbolic ordinal time-series analysis allows to identify the…

Data Analysis, Statistics and Probability · Physics 2017-07-03 Nuria Martinez Alvarez , Saurabh Borkar , Cristina Masoller
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