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 …

Rydberg-atom-based scheme of nonadiabatic geometric quantum computation

PZ Zhao, XD Cui, GF Xu, E Sjöqvist, DM Tong - Physical Review A, 2017 - APS
Nonadiabatic geometric quantum computation provides a means to perform fast and robust
quantum gates. It has been implemented in various physical systems, such as trapped ions …

Experimental realization of single-shot nonadiabatic holonomic gates in nuclear spins

H Li, Y Liu, GL Long - Science China Physics, Mechanics & Astronomy, 2017 - Springer
Nonadiabatic holonomic quantum computation has received increasing attention due to its
robustness against control errors. However, all the previous schemes have to use at least …

Nonadiabatic holonomic gates realized by a single-shot implementation

GF Xu, CL Liu, PZ Zhao, DM Tong - Physical Review A, 2015 - APS
Nonadiabatic holonomic quantum computation has received increasing attention due to its
robustness against control errors. However, all the previous schemes have to use at least …

Doubly geometric quantum control

W Dong, F Zhuang, SE Economou, E Barnes - PRX Quantum, 2021 - APS
In holonomic quantum computation, quantum gates are performed using driving protocols
that trace out closed loops on the Bloch sphere, making them robust to certain pulse errors …

Non-Abelian gauge field in optics

Q Yan, Z Wang, D Wang, R Ma, C Lu, G Ma… - Advances in Optics …, 2023 - opg.optica.org
Non-Abelian optics has emerged as a promising research field with the potential to
revolutionize our understanding of light–matter interactions and enable new applications in …

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 …

Implementing universal nonadiabatic holonomic quantum gates with transmons

ZP Hong, BJ Liu, JQ Cai, XD Zhang, Y Hu, ZD Wang… - Physical Review A, 2018 - APS
Geometric phases are well known to be noise resilient in quantum evolutions and
operations. Holonomic quantum gates provide us with a robust way towards universal …