Nonadiabatic holonomic quantum computation and its optimal control

Y Liang, P Shen, T Chen, ZY Xue - Science China Information Sciences, 2023 - Springer
The geometric phase has the intrinsic property of being resistant to some types of local
noises as it only depends on global properties of the evolution path. Meanwhile, the non …

Training Schrödinger's cat: Quantum optimal control: Strategic report on current status, visions and goals for research in Europe

SJ Glaser, U Boscain, T Calarco, CP Koch… - The European Physical …, 2015 - Springer
It is control that turns scientific knowledge into useful technology: in physics and engineering
it provides a systematic way for driving a dynamical system from a given initial state into a …

One-step implementation of time-optimal-control three-qubit nonadiabatic holonomic controlled gates in Rydberg atoms

LN Sun, LL Yan, SL Su, Y Jia - Physical Review Applied, 2021 - APS
We propose a one-step scheme to implement the time-optimal nonadiabatic holonomic
three-qubit controlled gates in Rydberg atoms by modulating Rabi frequencies of driving …

Quantum brachistochrone curves as geodesics: Obtaining accurate minimum-time protocols for the control of quantum systems

X Wang, M Allegra, K Jacobs, S Lloyd, C Lupo… - Physical review …, 2015 - APS
Most methods of optimal control cannot obtain accurate time-optimal protocols. The quantum
brachistochrone equation is an exception, and has the potential to provide accurate time …

Quantum brachistochrone

T Koike - Philosophical Transactions of the Royal Society …, 2022 - royalsocietypublishing.org
Quantum brachistochrone (QB) is a quantum analogue of classical brachistochrone
(shortest path). It is a solution to the following problem: How can we perform a desired …

Experimental time-optimal universal control of spin qubits in solids

J Geng, Y Wu, X Wang, K Xu, F Shi, Y Xie, X Rong… - Physical review …, 2016 - APS
Quantum control of systems plays an important role in modern science and technology. The
ultimate goal of quantum control is to achieve high-fidelity universal control in a time-optimal …

Composite short-path nonadiabatic holonomic quantum gates

Y Liang, P Shen, T Chen, ZY Xue - Physical Review Applied, 2022 - APS
Nonadiabatic holonomic quantum computation (NHQC) has attracted significant attention
due to its fast evolution and the geometric nature-induced resilience to local noises …

Nonadiabatic geometric quantum gates by composite pulses based on superconducting qubits

ZY Fang, H Xu, T Chen, K Wei, C Zhang - Physical Review A, 2024 - APS
The nonadiabatic geometric quantum gate (NGQG) is promising for the realization of high-
fidelity operation for large-scale quantum processing. Normally, conventional NGQGs can …

Ultrafast holonomic quantum gates

P Shen, T Chen, ZY Xue - Physical Review Applied, 2021 - APS
Quantum computation based on geometric phase is generally believed to be more robust
against certain errors or noises than the conventional dynamical strategy. However, the gate …

Fast realization of high-fidelity nonadiabatic holonomic quantum gates with a time-optimal-control technique in Rydberg atoms

PY Song, JF Wei, P Xu, LL Yan, M Feng, SL Su… - Physical Review A, 2024 - APS
The nonadiabatic holonomic quantum computation (NHQC) has received great attention for
decades, however, there are many challenges to its implementation in experiments. To …