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 …

Three-dimensional non-Abelian quantum holonomy

V Neef, J Pinske, F Klauck, L Teuber, M Kremer… - Nature Physics, 2023 - nature.com
When a quantum system undergoes slow changes, the evolution of its state depends only
on the corresponding trajectory in Hilbert space. This phenomenon, known as quantum …

Non-Abelian Thouless pumping in a photonic lattice

V Brosco, L Pilozzi, R Fazio, C Conti - Physical Review A, 2021 - APS
Non-Abelian gauge fields emerge naturally in the description of adiabatically evolving
quantum systems having degenerate levels. Here we show that they also play a role in …

Investigation of Floquet engineered non-Abelian geometric phase for holonomic quantum computing

LW Cooke, A Tashchilina, M Protter, J Lindon, T Ooi… - Physical Review …, 2024 - APS
Holonomic quantum computing functions by transporting an adiabatically degenerate
manifold of computational states around a closed loop in a control-parameter space; this …

Demonstration of Floquet engineered non-Abelian geometric phase for holonomic quantum computing

LW Cooke, A Tashchilina, M Protter, J Lindon… - arXiv preprint arXiv …, 2023 - arxiv.org
Holonomic quantum computing (HQC) functions by transporting an adiabatically degenerate
manifold of computational states around a closed loop in a control-parameter space; this …

[HTML][HTML] Grating coupler design for low-cost fabrication in amorphous silicon photonic integrated circuits

D Almeida, P Lourenço, A Fantoni, J Costa, M Vieira - Photonics, 2024 - mdpi.com
Photonic circuits find applications in biomedicine, manufacturing, quantum computing and
communications. Photonic waveguides are crucial components, typically having cross …

Geometrically robust linear optics from non-Abelian geometric phases

J Pinske, S Scheel - Physical Review Research, 2022 - APS
We construct a unified operator framework for quantum holonomies generated from bosonic
systems. For a system whose Hamiltonian is bilinear in the creation and annihilation …

Deterministic photonic entanglement arising from non-Abelian quantum holonomy

A Bhattacharya, C Raman - arXiv preprint arXiv:2407.20368, 2024 - arxiv.org
Realizing deterministic, high-fidelity entangling interactions--of the kind that can be utilized
for efficient quantum information processing--between photons remains an elusive goal …

Particle-number threshold for non-Abelian geometric phases

J Pinske, V Burgtorf, S Scheel - Physical Review A, 2023 - APS
When a quantum state traverses a path, while being under the influence of a gauge
potential, it acquires a geometric phase that is often more than just a scalar quantity. The …

Symmetry-protected non-Abelian geometric phases in optical waveguides with nonorthogonal modes

J Pinske, S Scheel - Physical Review A, 2022 - APS
The generation of non-Abelian geometric phases from a system of evanescently coupled
waveguides is considered within the framework of nonorthogonal coupled-mode theory …