English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Hamiltonian formulation of lattice gauge theories (LGTs) is the most naturalframework for the purpose of quantum simulation, an area of research that isgrowing with advances in quantum-computing algorithms and hardware. It,therefore, remains an important task to identify the most accurate, whilecomputationally economic, Hamiltonian formulation(s) in such theories,considering the necessary truncation imposed on the Hilbert space of gaugebosons with any finite computing resources. This paper is a first step towardaddressing this question in the case of non-Abelian LGTs, which further requirethe imposition of non-Abelian Gauss's laws on the Hilbert space, introducingadditional computational complexity. Focusing on the case of SU(2) LGT in 1+1 Dcoupled to matter, a number of different formulations of the originalKogut-Susskind framework are analyzed with regard to the dependence of thedimension of the physical Hilbert space on boundary conditions, system's size,and the cutoff on the excitations of gauge bosons. The impact of suchdependencies on the accuracy of the spectrum and dynamics is examined, and the(classical) computational-resource requirements given these considerations arestudied. Besides the well-known angular-momentum formulation of the theory, thecases of purely fermionic and purely bosonic formulations (with open boundaryconditions), and the Loop-String-Hadron formulation are analyzed, along with abrief discussion of a Quantum Link Model of the same theory. Clear advantagesare found in working with the Loop-String-Hadron framework which implementsnon-Abelian Gauss's laws a priori using a complete set of gauge-invariantoperators. Although small lattices are studied in the numerical analysis ofthis work, and only the simplest algorithms are considered, a range ofconclusions will be applicable to larger systems and potentially to higherdimensions.

Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories