scholarly journals Z2 lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Lukas Homeier ◽  
Christian Schweizer ◽  
Monika Aidelsburger ◽  
Arkady Fedorov ◽  
Fabian Grusdt
Keyword(s):  
Gauge Theories ◽  
Quantum Simulation ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Toric Code

scholarly journals Atomic Quantum Simulation ofU(N)andSU(N)Non-Abelian Lattice Gauge Theories

2013 ◽  
Vol 110 (12) ◽  
Author(s):  
D. Banerjee ◽  
M. Bögli ◽  
M. Dalmonte ◽  
E. Rico ◽  
P. Stebler ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Quantum Simulation ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Abelian Lattice

scholarly journals Quantum simulation of lattice gauge theories using Wilson fermions

2018 ◽  
Vol 3 (3) ◽  
pp. 034010 ◽  
Author(s):  
T V Zache ◽  
F Hebenstreit ◽  
F Jendrzejewski ◽  
M K Oberthaler ◽  
J Berges ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Quantum Simulation ◽  
Lattice Gauge ◽  
Lattice Gauge Theories ◽  
Wilson Fermions

scholarly journals Digital quantum simulation of lattice gauge theories in three spatial dimensions

2018 ◽  
Vol 20 (9) ◽  
pp. 093001 ◽  
Author(s):  
Julian Bender ◽  
Erez Zohar ◽  
Alessandro Farace ◽  
J Ignacio Cirac
Keyword(s):  
Gauge Theories ◽  
Quantum Simulation ◽  
Lattice Gauge ◽  
Spatial Dimensions ◽  
Lattice Gauge Theories

scholarly journals Tensor Networks for Lattice Gauge Theories and Atomic Quantum Simulation

2014 ◽  
Vol 112 (20) ◽  
Author(s):  
E. Rico ◽  
T. Pichler ◽  
M. Dalmonte ◽  
P. Zoller ◽  
S. Montangero
Keyword(s):  
Gauge Theories ◽  
Quantum Simulation ◽  
Lattice Gauge ◽  
Tensor Networks ◽  
Lattice Gauge Theories

scholarly journals Quantum simulation of lattice gauge theories in more than one space dimension—requirements, challenges and methods

2021 ◽  
Vol 380 (2216) ◽  
Author(s):  
Erez Zohar
Keyword(s):  
Particle Physics ◽  
Development Process ◽  
Gauge Theories ◽  
Space Dimension ◽  
Rapid Development ◽  
Quantum Simulation ◽  
Theme Issue ◽  
Physical Problems ◽  
Lattice Gauge ◽  
Lattice Gauge Theories

Over recent years, the relatively young field of quantum simulation of lattice gauge theories, aiming at implementing simulators of gauge theories with quantum platforms, has gone through a rapid development process. Nowadays, it is not only of interest to the quantum information and technology communities. It is also seen as a valid tool for tackling hard, non-perturbative gauge theory problems by particle and nuclear physicists. Along the theoretical progress, nowadays more and more experiments implementing such simulators are being reported, manifesting beautiful results, but mostly on 1 + 1 dimensional physics. In this article, we review the essential ingredients and requirements of lattice gauge theories in more dimensions and discuss their meanings, the challenges they pose and how they could be dealt with, potentially aiming at the next steps of this field towards simulating challenging physical problems in analogue, or analogue-digital ways. This article is part of the theme issue ‘Quantum technologies in particle physics’.

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