118 citations · 570 across the 36 of their papers we have counts for
22 papers · 1 filter
No-go theorems for dual Hamiltonians of Non-Abelian Lattice Gauge Theories
Marco Garofalo, Tobias Hartung, Timo Jakobs +3
Hamiltonian simulations of lattice gauge theories promise new insights into the inner workings of QCD. The rapid development of quantum computing hardware suggests that large scale…
A Comprehensive Stress Test of Truncated Hilbert Space Bases against Green's function Monte Carlo in U(1) Lattice Gauge Theory
Timo Jakobs, Marco Garofalo, Tobias Hartung +5
A representation of Lattice Gauge Theories (LGT) suitable for simulations with tensor network state methods or with quantum computers requires a truncation of the Hilbert space to…
Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU
Timo Jakobs, Marco Garofalo, Tobias Hartung +4
In this paper, we investigate a digitised SU lattice gauge theory in the Hamiltonian formalism. We use partitionings to digitise the gauge degrees of freedom and show how to d…
Testing the lattice Hamiltonian built from partitionings
Marco Garofalo, Tobias Hartung, Timo Jakobs +5
We test a possible digitization of lattice gauge theories based on partitionings of the sphere . In our construction the link operators are unitary and diagon…
Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
Stephan Schuster, Stefan Kühn, Lena Funcke +4
We propose an ansatz quantum circuit for the variational quantum eigensolver (VQE), suitable for exploring the phase structure of the multi-flavor Schwinger model in the presence o…
Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
Timo Jakobs, Marco Garofalo, Tobias Hartung +5
Hamiltonian simulations of quantum systems require a finite-dimensional representation of the operators acting on the Hilbert space H. Here we give a prescription for gauge links a…
Detecting and Mitigating Mode-Collapse for Flow-based Sampling of Lattice Field Theories
Kim A. Nicoli, Christopher J. Anders, Tobias Hartung +3
We study the consequences of mode-collapse of normalizing flows in the context of lattice field theory. Normalizing flows allow for independent sampling. For this reason, it is hop…
Review on Quantum Computing for Lattice Field Theory
Lena Funcke, Tobias Hartung, Karl Jansen +1
In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in p…
Digitizing SU(2) Gauge Fields and What to Look Out for When Doing So
Tobias Hartung, Timo Jakobs, Karl Jansen +2
With the long term perspective of using quantum computers and tensor networks for lattice gauge theory simulations, an efficient method of digitizing gauge group elements is needed…
Defining Canonical Momenta for Discretised SU(2) Gauge Fields
Marco Garofalo, Tobias Hartung, Karl Jansen +3
In this proceeding contribution we discuss how to define canonical momenta for SU(N) lattice gauge theories in the Hamiltonian formalism in a basis where the gauge field operators…
Zeta-regularized Lattice Field Theory with Lorentzian background metrics
Tobias Hartung, Karl Jansen, Chiara Sarti
Lattice field theory is a very powerful tool to study Feynman's path integral non-perturbatively. However, it usually requires Euclidean background metrics to be well-defined. On t…
Digitising SU(2) Gauge Fields and the Freezing Transition
Tobias Hartung, Timo Jakobs, Karl Jansen +2
Efficient discretisations of gauge groups are crucial with the long term perspective of using tensor networks or quantum computers for lattice gauge theory simulations. For any Lie…
Lattice field computations via recursive numerical integration
Tobias Hartung, Karl Jansen, Frances Y. Kuo +3
We investigate the application of efficient recursive numerical integration strategies to models in lattice gauge theory from quantum field theory. Given the coupling structure of…
Machine Learning of Thermodynamic Observables in the Presence of Mode Collapse
Kim A. Nicoli, Christopher Anders, Lena Funcke +5
Estimating the free energy, as well as other thermodynamic observables, is a key task in lattice field theories. Recently, it has been pointed out that deep generative models can b…
Estimation of Thermodynamic Observables in Lattice Field Theories with Deep Generative Models
Kim A. Nicoli, Christopher J. Anders, Lena Funcke +5
In this work, we demonstrate that applying deep generative machine learning models for lattice field theory is a promising route for solving problems where Markov Chain Monte Carlo…
Avoiding the sign-problem in lattice field theory
Tobias Hartung, Karl Jansen, Hernan Leövey +1
In lattice field theory, the interactions of elementary particles can be computed via high-dimensional integrals. Markov-chain Monte Carlo (MCMC) methods based on importance sampli…
Zeta-regularized vacuum expectation values from quantum computing simulations
Karl Jansen, Tobias Hartung
The zeta-regularization allows to establish a connection between Feynman's path integral and Fourier integral operator zeta-functions. This fact can be utilized to perform the regu…
Applying recursive numerical integration techniques for solving high dimensional integrals
Andreas Ammon, Alan Genz, Tobias Hartung +3
The error scaling for Markov-Chain Monte Carlo techniques (MCMC) with samples behaves like . This scaling makes it often very time intensive to reduce the error of…
New polynomially exact integration rules on U(N) and SU(N)
Andreas Ammon, Tobias Hartung, Karl Jansen +2
In lattice Quantum Field Theory, we are often presented with integrals over polynomials of coefficients of matrices in U(N) or SU(N) with respect to the Haar measure. In some physi…
Overcoming the sign problem in 1-dimensional QCD by new integration rules with polynomial exactness
A. Ammon, T. Hartung, K. Jansen +2
In this paper we describe a new integration method for the groups and , for which we verified numerically that it is polynomially exact for . The method is ap…
On the efficient numerical solution of lattice systems with low-order couplings
A. Ammon, A. Genz, T. Hartung +3
We apply the Quasi Monte Carlo (QMC) and recursive numerical integration methods to evaluate the Euclidean, discretized time path-integral for the quantum mechanical anharmonic osc…
Applicability of Quasi-Monte Carlo for lattice systems
Andreas Ammon, Tobias Hartung, Karl Jansen +3
This project investigates the applicability of quasi-Monte Carlo methods to Euclidean lattice systems in order to improve the asymptotic error scaling of observables for such theor…