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 …

Geometric phases in quantum information

E Sjöqvist - International Journal of Quantum Chemistry, 2015 - Wiley Online Library
The rise of quantum information science has opened up a new venue for applications of the
geometric phase (GP), as well as triggered new insights into its physical, mathematical, and …

Shortcuts to adiabatic holonomic quantum computation in decoherence-free subspace with transitionless quantum driving algorithm

XK Song, H Zhang, Q Ai, J Qiu… - New Journal of Physics, 2016 - iopscience.iop.org
By using transitionless quantum driving algorithm (TQDA), we present an efficient scheme
for the shortcuts to the holonomic quantum computation (HQC). It works in decoherence-free …

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 …

Holonomic quantum control with continuous variable systems

VV Albert, C Shu, S Krastanov, C Shen, RB Liu… - Physical review …, 2016 - APS
Universal computation of a quantum system consisting of superpositions of well-separated
coherent states of multiple harmonic oscillators can be achieved by three families of …

[HTML][HTML] 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 …

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 …