Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond

E Cohen, H Larocque, F Bouchard… - Nature Reviews …, 2019 - nature.com
Whenever a quantum system undergoes a cyclic evolution governed by a slow change of
parameters, it acquires a phase factor: the geometric phase. Its most common formulations …

Noisy intermediate-scale quantum computers

B Cheng, XH Deng, X Gu, Y He, G Hu, P Huang, J Li… - Frontiers of …, 2023 - Springer
Quantum computers have made extraordinary progress over the past decade, and
significant milestones have been achieved along the path of pursuing universal fault-tolerant …

Adiabatic quantum computation is equivalent to standard quantum computation

D Aharonov, W Van Dam, J Kempe, Z Landau, S Lloyd… - SIAM review, 2008 - SIAM
The model of adiabatic quantum computation is a relatively recent model of quantum
computation that has attracted attention in the physics and computer science communities …

Geometric manipulation of trapped ions for quantum computation

LM Duan, JI Cirac, P Zoller - Science, 2001 - science.org
We propose an experimentally feasible scheme to achieve quantum computation based
solely on geometric manipulations of a quantum system. The desired geometric operations …

Experimental realization of universal geometric quantum gates with solid-state spins

C Zu, WB Wang, L He, WG Zhang, CY Dai, F Wang… - Nature, 2014 - nature.com
Experimental realization of a universal set of quantum logic gates is the central requirement
for the implementation of a quantum computer. In an 'all-geometric'approach to quantum …

Information and computation: Classical and quantum aspects

A Galindo, MA Martin-Delgado - Reviews of Modern Physics, 2002 - APS
Quantum theory has found a new field of application in the realm of information and
computation during recent years. This paper reviews how quantum physics allows …

Experimental realization of nonadiabatic holonomic quantum computation

G Feng, G Xu, G Long - Physical review letters, 2013 - APS
Because of its geometric nature, holonomic quantum computation is fault tolerant against
certain types of control errors. Although proposed more than a decade ago, the experimental …

Geometric phases for mixed states in interferometry

E Sjöqvist, AK Pati, A Ekert, JS Anandan, M Ericsson… - Physical Review Letters, 2000 - APS
We provide a physical prescription based on interferometry for introducing the total phase of
a mixed state undergoing unitary evolution, which has been an elusive concept in the past …

Experimental observation of Berry phases in optical Möbius-strip microcavities

J Wang, S Valligatla, Y Yin, L Schwarz… - Nature …, 2023 - nature.com
The Möbius strip, a fascinating loop structure with one-sided topology, provides a rich
playground for manipulating the non-trivial topological behaviour of spinning particles, such …

Charge-qubit operation of an isolated double quantum dot

J Gorman, DG Hasko, DA Williams - Physical review letters, 2005 - APS
We have investigated coherent time evolution of pseudomolecular states of an isolated
(leadless) silicon double quantum dot, where operations are carried out via capacitively …