Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum control with periodic sequences of non resonant pulses

Sara Cruz y Cruz, Bogdan Mielnik

Published Jan 1, 2007• 7 citations
OpenAlex

Abstract

"The resonant quantum control techniques are vulnerable to cumulative errors specially if the manipulation operations involve many individualsteps. It is shown that non trivial operations can be induced by non resonant fields challenging too simplified control models."

Related papers

Non-Holonomic Control II: Non-Holonomic Quantum Devices

E. Brion, V. M. Akulin, D. Comparat +6 more

In this paper, we show how the non-holonomic control technique can be employed to build completely controlled quantum devices. Examples of such controlled structures are provided.

arXiv:quant-ph/0507157•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 1, 2005•0 citations

Simulation of non-resonant quantum control protocols for a single qubit

Sara Cruz y Cruz, Julieta Medina, Miguel García Rocha +3 more

The resonant control techniques are susceptible of assisting error accumulation in quantum control protocols consisting of large sequences of external fields. It is shown that for some algorithms the information about the final state of the system may be partially or completely lost. Non trivial operations in the non resonant regime are also discussed.

AIP conference proceedings•Jan 1, 2010•1 citation

LIMITATIONS ON QUANTUM CONTROL

A. I. Solomon, Sonia G. Schirmer

In this note we give an introduction to the topic of Quantum Control, explaining what its objectives are, and describing some of its limitations.

arXiv:quant-ph/0110030•International Journal of Modern Physics B•Jun 20, 2002•12 citations

Quantum control of entanglement by phase manipulation of time-delayed pulse sequences. II

Vladimir S. Malinovsky, Ignacio R. Solá

A method of entangled states preparation of two-qubit systems is proposed. The method combines the techniques of coherent control by manipulation of the relative phase between the pulses and adiabatic control by using time-delayed pulse sequences. Simple analytic expressions are given for the wave function of the system as a function of phase and pulse area which show that complete control of entanglement is possible with resonant pulses. The connection between the phase of the entanglement and the control parameters is clarified and the effects of different pulse sequences are analyzed to design the optimal schemes. An off-resonant scheme is proposed that simplifies the preparation of certain entangled states.

Physical Review A•Oct 8, 2004•15 citations

Quantum control for time-dependent noise

Chingiz Kabytayev

The main obstacles to implementing ideal quantum operations are unwanted interactions of quantum systems with the environment and noise in control fields. This problem can be tackled by methods of quantum control. Among these methods are \ncomposite pulse (CP) sequences which have long been employed in nuclear magnetic resonance (NMR) to mitigate the effects of systematic errors in the control. CP sequences have been initially developed to correct for static but otherwise unknown \nerrors in the amplitude or frequency of the driving field. One of the challenges to the systematic incorporation of these control protocols into practical quantum information systems remains the limited understanding of CP performance in the presence \nof time-dependent noise. Treating the influence of time-dependent noise processes on quantum control operations has been facilitated by recent advances in dynamical \nerror suppression based on open-loop Hamiltonian engineering. These approaches provide a general framework for understanding and mitigating non-Markovian time- \ndependent noise in a finite-dimensional open quantum system. Particularly, arbitrary single-qubit control characteristics may be captured quantitatively in filter-transfer \nfunctions (FF) using methods of spectral overlap in the frequency domain. In this thesis work, we present a systematic study of control pulse sequences in the presence of time-dependent noise. We use a combination of analytic formulations based on FFs and numerical simulations to demonstrate that CPs are able to effectively suppress control errors caused by time-dependent processes possessing realistic noise \npower spectra. We provide a geometric interpretation of CP performance under time-dependent amplitude noise, further linking the FF formalism with known techniques in CP construction. We also develop new optimized pulse sequences that act as notch filters for time-dependent noise. These high-fidelity control protocols effectively sup- \npress errors from the noise sources with sharp features in spectral densities and can be used practically on various quantum architectures. We also present our work \non simulation of randomized benchmarking protocols and CPs that have been used experimentally by our collaborators to measure gate errors.

•May 15, 2015•2 citations

Quantum control

Ian A. Walmsley

The precise manipulation of quantum systems offers new challenges for control engineering as well as new potential both for science and technology. In this tutorial I will sketch the landscape of control scenarios and summarise the state of the field in closed loop control of atoms, molecules and photons. Full-text article is not available.

Frontiers in Optics•Jan 1, 2004•0 citations
A method of entangled states preparation of two-qubit systems is proposed. The method combines the techniques of coherent control by manipulation of the relative phase between the pulses and adiabatic control by using time-delayed pulse sequences. Simple analytic expressions are given for the wave function of the system as a function of phase and pulse area which show that complete control of entanglement is possible with resonant pulses. The connection between the phase of the entanglement and the control parameters is clarified and the effects of different pulse sequences are analyzed to design the optimal schemes. An off-resonant scheme is proposed that simplifies the preparation of certain entangled states.
The main obstacles to implementing ideal quantum operations are unwanted interactions of quantum systems with the environment and noise in control fields. This problem can be tackled by methods of quantum control. Among these methods are \ncomposite pulse (CP) sequences which have long been employed in nuclear magnetic resonance (NMR) to mitigate the effects of systematic errors in the control. CP sequences have been initially developed to correct for static but otherwise unknown \nerrors in the amplitude or frequency of the driving field. One of the challenges to the systematic incorporation of these control protocols into practical quantum information systems remains the limited understanding of CP performance in the presence \nof time-dependent noise. Treating the influence of time-dependent noise processes on quantum control operations has been facilitated by recent advances in dynamical \nerror suppression based on open-loop Hamiltonian engineering. These approaches provide a general framework for understanding and mitigating non-Markovian time- \ndependent noise in a finite-dimensional open quantum system. Particularly, arbitrary single-qubit control characteristics may be captured quantitatively in filter-transfer \nfunctions (FF) using methods of spectral overlap in the frequency domain. In this thesis work, we present a systematic study of control pulse sequences in the presence of time-dependent noise. We use a combination of analytic formulations based on FFs and numerical simulations to demonstrate that CPs are able to effectively suppress control errors caused by time-dependent processes possessing realistic noise \npower spectra. We provide a geometric interpretation of CP performance under time-dependent amplitude noise, further linking the FF formalism with known techniques in CP construction. We also develop new optimized pulse sequences that act as notch filters for time-dependent noise. These high-fidelity control protocols effectively sup- \npress errors from the noise sources with sharp features in spectral densities and can be used practically on various quantum architectures. We also present our work \non simulation of randomized benchmarking protocols and CPs that have been used experimentally by our collaborators to measure gate errors.