Coherent single-electron control in a realistic semiconductor double quantum dot is studied theoretically. Using optimal-control theory, we show that the energy spectrum of a two-dimensional double quantum dot has a fully controllable transition line. We find that optimized picosecond laser pulses generate population transfer at significantly higher fidelities $(>0.99)$ than conventional sinusoidal pulses. Finally, we design a robust and fast charge switch driven by optimal pulses that are within reach of terahertz laser technology.Coherent single-electron control in a realistic semiconductor double quantum dot is studied theoretically. Using optimal-control theory, we show that the energy spectrum of a two-dimensional double quantum dot has a fully controllable transition line. We find that optimized picosecond laser pulses generate population transfer at significantly higher fidelities $(>0.99)$ than conventional sinusoidal pulses. Finally, we design a robust and fast charge switch driven by optimal pulses that are within reach of terahertz laser technology.

arXiv:0707.0179Physical Review BFeb 27, 200836 citations

Optimal quantum control applied to quantum dots

Carlos Mario Rivera Ruiz

Oct 3, 20190 citations

Optimal control of a symmetric double quantum-dot nanostructure: Analytical results

Spyridon G. Kosionis, A. F. Terzis, Emmanuel Paspalakis

We study the potential for optimal control of a symmetric double quantum-dot structure interacting with a single pulsed electromagnetic field. We first use the rotating wave and resonant approximations and reduce the dynamics of the system to that of a degenerate three-level $\ensuremath{\Lambda}$-type system. We also formulate the optimal control problem in terms of differential equations that have to be fulfilled by the optimal electromagnetic fields. We then obtain general analytical expressions for the optimal pulse shapes that lead to global maximization of the final population of the target state and of the time-averaged population of the target state in the quantum-dot structure.We study the potential for optimal control of a symmetric double quantum-dot structure interacting with a single pulsed electromagnetic field. We first use the rotating wave and resonant approximations and reduce the dynamics of the system to that of a degenerate three-level $\ensuremath{\Lambda}$-type system. We also formulate the optimal control problem in terms of differential equations that have to be fulfilled by the optimal electromagnetic fields. We then obtain general analytical expressions for the optimal pulse shapes that lead to global maximization of the final population of the target state and of the time-averaged population of the target state in the quantum-dot structure.

Physical Review BMay 7, 200738 citations

Optimal Control of Quantum-Mechanical Processes

Anatoliy G. Butkovskiy, Yu. I. Samoilenko

Mathematics and its applications. Soviet seriesJan 1, 199015 citations

Robust electron spin qubit control in a nanowire double quantum dot

Runyu Lu, Kaipeng Liu, Yue Ban

Robust and efficient manipulation of electron spin qubits in quantum dots is of great significance for the reliable realization of quantum computers and execution of quantum algorithms. In this paper, we study the robust control on a singlet-triplet qubit based on inverse engineering, one technique of shortcuts to adiabaticity (STA), in a nanowire double quantum dot in the presence of magnetic field and strong spin-orbit coupling. The optimization of STA with respect to the systematic errors, contributed from the control field and the perturbative interaction, is explored. Moreover, we also apply optimal control techniques combining with STA, referred to as robust inverse optimization, to design optimal control fields and optimal operation time. This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.Robust and efficient manipulation of electron spin qubits in quantum dots is of great significance for the reliable realization of quantum computers and execution of quantum algorithms. In this paper, we study the robust control on a singlet-triplet qubit based on inverse engineering, one technique of shortcuts to adiabaticity (STA), in a nanowire double quantum dot in the presence of magnetic field and strong spin-orbit coupling. The optimization of STA with respect to the systematic errors, contributed from the control field and the perturbative interaction, is explored. Moreover, we also apply optimal control techniques combining with STA, referred to as robust inverse optimization, to design optimal control fields and optimal operation time. This article is part of the theme issue 'Shortcuts to adiabaticity: theoretical, experimental and interdisciplinary perspectives'.

Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesNov 6, 20220 citations

(>0.99)

than conventional sinusoidal pulses. Finally, we design a robust and fast charge switch driven by optimal pulses that are within reach of terahertz laser technology.