Geometric and holonomic quantum computation

J Zhang, TH Kyaw, S Filipp, LC Kwek, E Sjöqvist… - Physics Reports, 2023 - Elsevier
Geometric and holonomic quantum computation utilizes intrinsic geometric properties of
quantum-mechanical state spaces to realize quantum logic gates. Since both geometric …

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 …

Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit

Y Xu, Z Hua, T Chen, X Pan, X Li, J Han, W Cai, Y Ma… - Physical Review Letters, 2020 - APS
Using geometric phases to realize noise-resilient quantum computing is an important
method to enhance the control fidelity. In this work, we experimentally realize a universal …

Optimized geometric quantum computation with a mesoscopic ensemble of Rydberg atoms

CY Guo, LL Yan, S Zhang, SL Su, W Li - Physical Review A, 2020 - APS
We propose a nonadiabatic non-Abelian geometric quantum operation scheme to realize
universal quantum computation with mesoscopic Rydberg atoms. A single control atom …

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 …

Experimental realization of nonadiabatic holonomic single-qubit quantum gates with optimal control in a trapped ion

MZ Ai, S Li, Z Hou, R He, ZH Qian, ZY Xue, JM Cui… - Physical Review …, 2020 - APS
Quantum computation with quantum gates induced by geometric phases is regarded as a
promising strategy in fault-tolerant quantum computation, owing to its robustness against …

Realizing multi-qubit controlled nonadiabatic holonomic gates with connecting systems

GF Xu, DM Tong - AAPPS Bulletin, 2022 - Springer
Multi-qubit controlled gates are frequently used in quantum information processing.
Although they can be built with gates from the universal set of one-and two-qubit gates, this …

Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade

YH Kang, ZC Shi, J Song, Y Xia - Physical Review A, 2020 - APS
We propose a protocol to realize atomic nonadiabatic holonomic quantum computation
(NHQC) with two computational atoms and an auxiliary atom. Dynamics of the system is …

Flexible scheme for the implementation of nonadiabatic geometric quantum computation

YH Kang, ZC Shi, BH Huang, J Song, Y Xia - Physical Review A, 2020 - APS
In this paper, a flexible and effective scheme is proposed to realize nonadiabatic geometric
quantum gates with the invariant based reverse engineering and the nonadiabatic …

Multiple-qubit controlled unitary quantum gate for Rydberg atoms using shortcut to adiabaticity and optimized geometric quantum operations

M Li, FQ Guo, Z Jin, LL Yan, EJ Liang, SL Su - Physical Review A, 2021 - APS
Multiple-qubit quantum logic gates are an important element in the implementation of
quantum computers. The direct construction of multiple-qubit quantum logic gates in an …