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 …

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 …

Nonadiabatic holonomic quantum computation with dressed-state qubits

ZY Xue, FL Gu, ZP Hong, ZH Yang, DW Zhang, Y Hu… - Physical Review …, 2017 - APS
Implementing holonomic quantum computation is a challenging task as it requires
complicated interaction among multilevel systems. Here we propose to implement …

Fast holonomic quantum computation based on solid-state spins with all-optical control

J Zhou, BJ Liu, ZP Hong, ZY Xue - Science China Physics, Mechanics & …, 2018 - Springer
Holonomic quantum computation is a quantum computation strategy that promises some
built-in noise-resilience features. Here, we propose a scheme for nonadiabatic holonomic …

[HTML][HTML] Spatial non-adiabatic passage using geometric phases

A Benseny, A Kiely, Y Zhang, T Busch… - EPJ Quantum …, 2017 - Springer
Quantum technologies based on adiabatic techniques can be highly effective, but often at
the cost of being very slow. Here we introduce a set of experimentally realistic, non-adiabatic …

Implementation of geometric quantum gates on microwave‐driven semiconductor charge qubits

C Zhang, T Chen, X Wang… - Advanced Quantum …, 2021 - Wiley Online Library
A semiconductor‐based charge qubit, confined in double quantum dots, can be a platform to
implement quantum computing. However, it suffers severely from charge noises. Here, a …

Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model

VA Mousolou - Europhysics Letters, 2018 - iopscience.iop.org
A fundamental requirement of quantum information processing is the protection from the
adverse effects of decoherence and noise. Decoherence-free subspaces and geometric …

Scalable star-shaped architecture for universal spin-based nonadiabatic holonomic quantum computation

V Azimi Mousolou - Physical Review A, 2018 - APS
As one of the key steps to achieve fault-tolerant quantum-information processing,
nonadiabatic holonomic quantum computation has so far been realized in a number of …

Single-loop realization of universal nonadiabatic holonomic gates in decoherence-free subspaces

C Wang, Z Guo - Europhysics Letters, 2018 - iopscience.iop.org
Control errors and decoherence are two main obstacles for realization of quantum
computation. Nonadiabatic holonomic quantum computation in decoherence-free …

Entangling power of holonomic gates in atom-based systems

VA Mousolou, E Sjöqvist - Journal of Physics A: Mathematical …, 2018 - iopscience.iop.org
Entanglement is one of the main resources of quantum computation, and entangling power
of a quantum system is a crucial element in the universality and efficiency of a proposed …