# Local manipulation and measurement of nonlocal many-body operators in lattice gauge theory quantum simulators

@article{Zohar2020LocalMA, title={Local manipulation and measurement of nonlocal many-body operators in lattice gauge theory quantum simulators}, author={Erez Zohar}, journal={Physical Review D}, year={2020} }

Lattice Gauge Theories form a very successful framework for studying nonperturbative gauge field physics, in particular in Quantum Chromodynamics. Recently, their quantum simulation on atomic and solid-state platforms has been discussed, aiming at overcoming some of the difficulties still faced by the conventional approaches (such as the sign problem and real time evolution). While the actual implementations of a lattice gauge theory on a quantum simulator may differ in terms of the simulating…

## 5 Citations

### Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination

- Physics
- 2022

In the last few years, quantum simulation of Lattice Gauge Theories has been proposed and used as a method to overcome theoretical di ﬃ culties in dealing with the non-perturbative nature of such…

### From the Jaynes–Cummings model to non-abelian gauge theories: a guided tour for the quantum engineer

- PhysicsNew Journal of Physics
- 2020

The design of quantum many body systems, which have to fulfill an extensive number of constraints, appears as a formidable challenge within the field of quantum simulation. Lattice gauge theories are…

### Circuit-based digital adiabatic quantum simulation and pseudoquantum simulation as new approaches to lattice gauge theory

- PhysicsJournal of High Energy Physics
- 2020

Abstract
Gauge theory is the framework of the Standard Model of particle physics and is also important in condensed matter physics. As its major non-perturbative approach, lattice gauge theory is…

### Quantum simulation of light-front parton correlators

- Physics
- 2020

The physics of high-energy colliders relies on the knowledge of different non-perturbative parton correlators, such as parton distribution functions, that encode the information on universal hadron…

### Quantum computing: A measurement and analysis review

- Computer Science, PhysicsConcurr. Comput. Pract. Exp.
- 2021

Observations on executing basic quantum operations that play a vital role in quantum computing are presented which can be a reference point for the community in general engaged in designing of quantum circuits, protocols, algorithms, and quantum hardware to leverage quantum characteristics and properties.

## References

SHOWING 1-10 OF 109 REFERENCES

### Real-time dynamics of lattice gauge theories with a few-qubit quantum computer

- PhysicsNature
- 2016

This work reports the experimental demonstration of a digital quantum simulation of a lattice gauge theory, by realizing (1 + 1)-dimensional quantum electrodynamics (the Schwinger model) on a few-qubit trapped-ion quantum computer and explores the Schwinger mechanism of particle–antiparticle generation by monitoring the mass production and the vacuum persistence amplitude.

### Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

- Physics
- 2013

Abelian and non‐Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, Abelian U(1) lattice gauge theories arise in the description of certain quantum…

### Formulation of lattice gauge theories for quantum simulations

- Physics
- 2015

We examine the Kogut-Susskind formulation of lattice gauge theories under the light of fermionic and bosonic degrees of freedom that provide a description useful to the development of quantum…

### Quantum simulations of gauge theories with ultracold atoms: Local gauge invariance from angular-momentum conservation

- Physics
- 2013

Quantum simulations of High Energy Physics, and especially of gauge theories, is an emerging and exciting direction in quantum simulations. However, simulations of such theories, compared to…

### Lattice gauge theory simulations in the quantum information era

- Physics
- 2016

The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behaviour of elementary particles to the physics of electrons in solids. Most of our…

### Quantum simulation of lattice gauge theories using Wilson fermions

- PhysicsQuantum Science and Technology
- 2018

Quantum simulators have the exciting prospect of giving access to real-time dynamics of lattice gauge theories, in particular in regimes that are difficult to compute on classical computers. Future…

### Quantum simulation of the Abelian-Higgs lattice gauge theory with ultracold atoms

- Physics
- 2017

We present a quantum simulation scheme for the Abelian-Higgs lattice gauge theory using ultracold bosonic atoms in optical lattices. The model contains both gauge and Higgs scalar fields, and…

### Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices

- PhysicsReports on progress in physics. Physical Society
- 2016

The Hamiltonian formulation of lattice gauge theories is reviewed, and the recent progress in constructing the quantum simulation of Abelian and non-Abelian lattICE gauge theories in 1 +1 and 22 dimensions using ultracold atoms in optical lattices is described.

### Digital quantum simulation of lattice gauge theories in three spatial dimensions

- PhysicsNew Journal of Physics
- 2018

In the present work, we propose a scheme for the digital formulation of lattice gauge theories with dynamical fermions in 3 + 1 dimensions. All interactions are obtained as a stroboscopic sequence of…

### Real-time dynamics and proposal for feasible experiments of lattice gauge–Higgs model simulated by cold atoms

- Physics
- 2014

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the…