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 …

Holonomic quantum control by coherent optical excitation in diamond

BB Zhou, PC Jerger, VO Shkolnikov, FJ Heremans… - Physical review …, 2017 - APS
Although geometric phases in quantum evolution are historically overlooked, their active
control now stimulates strategies for constructing robust quantum technologies. Here, we …

Geometric quantum computation with shortcuts to adiabaticity

Y Du, Z Liang, H Yan, S Zhu - Advanced Quantum …, 2019 - Wiley Online Library
Realization of a large‐scale quantum computation relies on fast and high‐fidelity quantum
control. Geometric quantum control is thought to be a promising candidate for quantum …

Topological Uhlmann phase transitions for a spin- particle in a magnetic field

D Morachis Galindo, F Rojas, JA Maytorena - Physical Review A, 2021 - APS
The generalization of the geometric phase to the realm of mixed states is known as the
Uhlmann phase. Recently, applications of this concept to the field of topological insulators …

Estimate of the time required to perform a nonadiabatic holonomic quantum computation

O Sönnerborn - Physical Review A, 2024 - APS
Nonadiabatic holonomic quantum computation has been proposed as a method to
implement quantum logic gates with robustness comparable to that of adiabatic holonomic …

Electric nonadiabatic geometric entangling gates on spin qubits

V Azimi Mousolou - Physical Review A, 2017 - APS
Producing and maintaining entanglement reside at the heart of the optimal construction of
quantum operations and are fundamental issues in the realization of universal quantum …

Noncyclic geometric quantum computation with shortcut to adiabaticity

QX Lv, ZT Liang, HZ Liu, JH Liang, KY Liao, YX Du - Physical Review A, 2020 - APS
Fast and robust quantum gates are the cornerstones of fault-tolerance quantum
computation. In this paper, as opposed to the previous proposals which use cyclic geometric …

Designing dynamically corrected gates robust to multiple noise sources using geometric space curves

HT Nelson, E Piliouras, K Connelly, E Barnes - Physical Review A, 2023 - APS
Noise-induced gate errors remain one of the main obstacles to realizing a broad range of
quantum information technologies. Dynamical error suppression using carefully designed …

[HTML][HTML] Fast evolution of single qubit gate in non-adiabatic geometric quantum computing

G Tang, XY Yang, Y Yan, J Lu - Physics Letters A, 2022 - Elsevier
We implemented arbitrarythe arbitrary single qubit gates of geometric quantum computing
for a three-level system in a single-shot manner. The evolution time of the gate has been …

Conditions for equivalent noise sensitivity of geometric and dynamical quantum gates

RKL Colmenar, U Güngördü, JP Kestner - PRX Quantum, 2022 - APS
Geometric quantum gates are often expected to be more resilient than dynamical gates
against certain types of error, which would make them ideal for robust quantum computing …