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We introduce a new approach to assess the error of control problems we aim to optimize. The method offers a strategy to define new control pulses that are not necessarily optimal but still able to yield an error not larger than some fixed a…

Quantum Physics · Physics 2011-07-22 Antonio Negretti , Rosario Fazio , Tommaso Calarco

A new method to coherently control the electron dynamics is proposed using a few-cycle laser pulse in combination with a controlling field. It is shown that this method not only broadens the attosecond pulse bandwidth, but also reduces the…

Atomic Physics · Physics 2015-04-06 Pengfei Lan , Peixiang Lu , Wei Cao , Yuhua Li , Xinlin Wang

We show that a large class of pulse coupled oscillators converge with high probability from random initial conditions on a large class of graphs with time delays. Our analysis combines previous local convergence results, probabilistic…

Dynamical Systems · Mathematics 2013-02-26 Joel Nishimura , Eric J. Friedman

Two recent developments in quantum control, concatenation and optimization of pulse intervals, are combined to yield a strategy to suppress unwanted couplings in quantum systems to high order. Longitudinal relaxation and transverse…

Quantum Physics · Physics 2009-04-09 Götz S. Uhrig

We show that a combination of a half-cycle pulse and a short nonresonant laser pulse produces a strongly enhanced postpulse orientation. Robust transients that display both efficient and long-lived orientation are obtained. The mechanism is…

Quantum Physics · Physics 2007-05-23 D. Daems , S. Guérin , D. Sugny , H. R. Jauslin

In many industrial applications, signals with short periodic pulses, caused by repeated steps in the manufacturing process, are present, and their fundamental frequency or period may be of interest. Fundamental frequency estimation is in…

Dynamical decoupling is a coherent control technique where the intrinsic and extrinsic couplings of a quantum system are effectively averaged out by application of specially designed driving fields (refocusing pulse sequences). This entails…

Quantum Physics · Physics 2009-11-13 Leonid P. Pryadko , Gregory Quiroz

We present a general method to quickly generate high-fidelity control pulses for any continuously-parameterized set of quantum gates after calibrating a small number of reference pulses. We find that interpolating between optimized control…

Quantum Physics · Physics 2024-12-23 Jason D. Chadwick , Frederic T. Chong

The control of quantum dynamics via specially tailored laser pulses is a long-standing goal in physics and chemistry. Partly, this dream has come true, as sophisticated pulse shaping experiments allow to coherently control product ratios of…

Quantum Physics · Physics 2007-07-16 J. Werschnik , E. K. U. Gross

Strong, fast pulses, called ``bang-bang'' controls can be used to eliminate the effects of system-environment interactions. This method for preventing errors in quantum information processors is treated here in a geometric setting which…

Quantum Physics · Physics 2007-05-23 Mark S. Byrd , Daniel A. Lidar

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

We investigate the time-optimal solution of the selective control of two uncoupled spin 1/2 particles. Using the Pontryagin Maximum Principle, we derive the global time-optimal pulses for two spins with different offsets. We show that the…

Quantum Physics · Physics 2018-11-14 L. Van Damme , Q. Ansel , S. J. Glaser , D. Sugny

In this work, we propose a comprehensive design for narrowband and passband composite pulse sequences by involving the dynamics of all states in the three-state system. The design is quite universal as all pulse parameters can be freely…

Quantum Physics · Physics 2024-01-08 Cheng Zhang , Li-Tuo Shen , Jie Song , Yan Xia , Zhi-Cheng Shi

A transition from asymmetric to symmetric patterns in time-dependent extended systems is described. It is found that one dimensional cellular automata, started from fully random initial conditions, can be forced to evolve into complex…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

The control protocols of two types of finite dimensional quantum systems are proposed. The feasibility of each protocol is possible and an arbitrary target state can be achieved from initial state by a constant field. The control parameters…

Quantum Physics · Physics 2013-01-01 Jianju Tang , H. C. Fu

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 L. I. Korovin , I. G. Lang D. A. Contreras-Solorio , S. T. Pavlov

We introduce universally robust sequences for dynamical decoupling, which simultaneously compensate pulse imperfections and the detrimental effect of a dephasing environment to an arbitrary order, work with any pulse shape, and improve…

Quantum Physics · Physics 2017-03-30 Genko T. Genov , Daniel Schraft , Nikolay V. Vitanov , Thomas Halfmann

In this work, we formulate the problem of achieving in minimum-time perfect chiral resolution with bounded control fields, as an optimal control problem on two non-interacting spins-$1/2$. We assume the same control bound for the two Raman…

Quantum Physics · Physics 2025-12-30 Dionisis Stefanatos , Ioannis Thanopulos , Emmanuel Paspalakis

When are asymptotic approximations using the delta-method uniformly valid? We provide sufficient conditions as well as closely related necessary conditions for uniform negligibility of the remainder of such approximations. These conditions…

Statistics Theory · Mathematics 2015-07-22 Maximilian Kasy

We present compelling evidence that most gamma-ray burst (GRB) pulse light curves can be characterized by a smooth single-peaked component coupled with a more complex emission structure that is temporally-symmetric around the time of the…

High Energy Astrophysical Phenomena · Physics 2021-09-29 Jon Hakkila
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