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We propose an analog quantum simulator for simulating real time dynamics of $(1+1)$-d non-Abelian gauge theory well within the existing capacity of ultracold atom experiments. The scheme calls for the realization of a two-state ultracold…

High Energy Physics - Lattice · Physics 2020-09-30 Raka Dasgupta , Indrakshi Raychowdhury

String breaking is at the core of hadronization models of relevance to particle colliders. Yet, studies of string-breaking dynamics rooted in quantum chromodynamics remain fundamentally challenging. Tensor networks enable sign-problem-free…

With a focus on universal quantum computing for quantum simulation, and through the example of lattice gauge theories, we introduce rather general quantum algorithms that can efficiently simulate certain classes of interactions consisting…

High Energy Physics - Lattice · Physics 2023-12-27 Zohreh Davoudi , Alexander F. Shaw , Jesse R. Stryker

Hamiltonian formulation of lattice gauge theories (LGTs) is the most natural framework for the purpose of quantum simulation, an area of research that is growing with advances in quantum-computing algorithms and hardware. It, therefore,…

High Energy Physics - Lattice · Physics 2021-10-13 Zohreh Davoudi , Indrakshi Raychowdhury , Andrew Shaw

This thesis develops advanced Tensor Network (TN) methods to address Hamiltonian Lattice Gauge Theories (LGTs), overcoming limitations in real-time dynamics and finite-density regimes. A novel dressed-site formalism is introduced, enabling…

High Energy Physics - Lattice · Physics 2025-05-14 Giovanni Cataldi

The question of how to efficiently formulate Hamiltonian gauge theories is experiencing renewed interest due to advances in building quantum simulation platforms. We introduce a reformulation of an SU(2) Hamiltonian lattice gauge theory---a…

High Energy Physics - Lattice · Physics 2020-06-26 Indrakshi Raychowdhury , Jesse R. Stryker

The real-time evolution of strongly interacting matter remains a frontier of fundamental physics, as classical simulations are hampered by exponential Hilbert space growth and rapid, unmanageable growth of quantum entanglement. This study…

High Energy Physics - Lattice · Physics 2026-03-12 Fran Ilčić , Ritajit Majumdar , Emil Mathew , Md. Osama Ali , Nathan Earnest-Noble , Indrakshi Raychowdhury

Using matrix product states, we explore numerically the phenomenology of string breaking in a non-Abelian lattice gauge theory, namely 1+1 dimensional SU(2). The technique allows us to study the static potential between external heavy…

High Energy Physics - Lattice · Physics 2015-09-04 Stefan Kühn , Erez Zohar , J. Ignacio Cirac , Mari Carmen Bañuls

Gauge theories are of paramount importance in our understanding of fundamental constituents of matter and their interactions. However, the complete characterization of their phase diagrams and the full understanding of non-perturbative…

High Energy Physics - Lattice · Physics 2021-06-24 Giuseppe Magnifico , Timo Felser , Pietro Silvi , Simone Montangero

We introduce a method to investigate the static and dynamic properties of both Abelian and non-Abelian lattice gauge models in 1+1 dimensions. Specifically, we identify a set of transformations that disentangle different degrees of freedom,…

High Energy Physics - Lattice · Physics 2018-09-27 P. Sala , T. Shi , S. Kühn , M. C. Bañuls , E. Demler , J. I. Cirac

We present a quantum computational framework for SU(2) lattice gauge theory, leveraging continuous variables instead of discrete qubits to represent the infinite-dimensional Hilbert space of the gauge fields. We consider a ladder as well as…

High Energy Physics - Lattice · Physics 2025-06-24 Victor Ale , Nora M. Bauer , Raghav G. Jha , Felix Ringer , George Siopsis

Understanding the equilibrium properties and out of equilibrium dynamics of quantum field theories are key aspects of fundamental problems in theoretical particle physics and cosmology. However, their classical simulation is highly…

Quantum Physics · Physics 2023-12-21 Philipp Schmoll , Jan Naumann , Alexander Nietner , Jens Eisert , Spyros Sotiriadis

Simulations of energy loss and hadronization are essential for understanding a range of phenomena in non-equilibrium strongly-interacting matter. We establish a framework for performing such simulations on a quantum computer and apply it to…

Quantum Physics · Physics 2026-04-15 Zhiyao Li , Marc Illa , Martin J. Savage

We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions, with tensor networks (TN), up to intermediate sizes (>30 matter sites) well beyond exact diagonalization. We focus on the SU(2) Yang-Mills model in…

High Energy Physics - Lattice · Physics 2024-07-15 Giovanni Cataldi , Giuseppe Magnifico , Pietro Silvi , Simone Montangero

We realize, for the first time, a non-Abelian gauge theory with both gauge and matter fields on a quantum computer. This enables the observation of hadrons and the calculation of their associated masses. The SU(2) gauge group considered…

Quantum Physics · Physics 2021-12-03 Yasar Atas , Jinglei Zhang , Randy Lewis , Amin Jahanpour , Jan F. Haase , Christine A. Muschik

Tensor network algorithms provide a suitable route for tackling real-time dependent problems in lattice gauge theories, enabling the investigation of out-of-equilibrium dynamics. We analyze a U(1) lattice gauge theory in (1+1) dimensions in…

Quantum Gases · Physics 2016-03-07 T. Pichler , M. Dalmonte , E. Rico , P. Zoller , S. Montangero

Tensor network methods are a class of numerical tools and algorithms to study many-body quantum systems in and out of equilibrium, based on tailored variational wave functions. They have found significant applications in simulating lattice…

High Energy Physics - Lattice · Physics 2025-09-10 Giuseppe Magnifico , Giovanni Cataldi , Marco Rigobello , Peter Majcen , Daniel Jaschke , Pietro Silvi , Simone Montangero

Efficient quantum simulation protocols for any quantum theories demand efficient protection protocols for its underlying symmetries. This task is nontrivial for gauge theories as it is involves local symmetry/invariance. For non-Abelian…

High Energy Physics - Lattice · Physics 2022-10-05 Emil Mathew , Indrakshi Raychowdhury

The traditional approach for studying the physics of the strong interactions employs a basic computational construct originally proposed by Wilson in the 1970s. Over the years additional enhancements have been added to this formulation to…

High Energy Physics - Lattice · Physics 2018-11-06 Patrick Dreher

We present a neural network wavefunction framework for solving non-Abelian lattice gauge theories in a continuous group representation. Using a combination of $SU(2)$ equivariant neural networks alongside an $SU(2)$ invariant,…

High Energy Physics - Lattice · Physics 2025-09-17 Thomas Spriggs , Eliska Greplova , Juan Carrasquilla , Jannes Nys
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