61 citations · 100 across the 8 of their papers we have counts for
8 papers
A minimal implementation of Yang-Mills theory on a digital quantum computer
Georg Bergner, Masanori Hanada, Emanuele Mendicelli
We present a minimal implementation of SU() pure Yang-Mills theory in dimensions for digital quantum simulation, designed to enable quantum advantage. Building on the orbi…
Toward Quantum Simulation of SU(2) Gauge Theory using Non-Compact Variables
Emanuele Mendicelli, Georg Bergner, Masanori Hanada
Simulating lattice gauge theories on quantum computers presents unique challenges that drive the development of novel theoretical frameworks. The orbifold lattice approach offers a…
Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice
Georg Bergner, Masanori Hanada, Emanuele Mendicelli
We demonstrate that the orbifold lattice Hamiltonian -- an approach known for its efficiency in simulating SU() Yang-Mills theory and QCD on digital quantum computers -- can rep…
Wilson Loops and Random Matrices
Georg Bergner, Vaibhav Gautam, Masanori Hanada +1
Linear confinement with Casimir scaling of the string tension in confining gauge theories is a consequence of a certain property of the Polyakov loop related to random matrices. Th…
Toward QCD on Quantum Computer: Orbifold Lattice Approach
Georg Bergner, Masanori Hanada, Enrico Rinaldi +1
We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables…
Color Confinement and Random Matrices -- A random walk down group manifold toward Casimir scaling --
Georg Bergner, Vaibhav Gautam, Masanori Hanada
We explain the microscopic origin of linear confinement potential with the Casimir scaling in generic confining gauge theories. In the low-temperature regime of confining gauge the…
Supersymmetry on the lattice
Georg Bergner, Simon Catterall
We discuss the motivations, difficulties and progress in the study of supersymmetric lattice gauge theories focusing in particular on and super Yang-Mills…
Complete supersymmetry on the lattice and a No-Go theorem: A simulation with intact supersymmetries on the lattice
G. Bergner
In this work a lattice formulation of a supersymmetric theory is proposed and tested that preserves the complete supersymmetry on the lattice. The results of a one-dimensional nonp…