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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We derive a representation for a lattice U(1) gauge theory with exponentialconvergence in the number of states used to represent each lattice site that isapplicable at all values of the coupling. At large coupling, thisrepresentation is equivalent to the Kogut-Susskind electric representation,which is known to provide a good description in this region. At small coupling,our approach adjusts the maximum magnetic field that is represented in thedigitization as in this regime the low-lying eigenstates become strongly peakedaround zero magnetic field. Additionally, we choose a representation of theelectric component of the Hamiltonian that gives minimal violation of thecanonical commutation relation when acting upon low-lying eigenstates,motivated by the Nyquist-Shannon sampling theorem. For (2+1) dimensions with 4lattice sites the expectation value of the plaquette operator can be calculatedwith only 7 states per lattice site with per-mille level accuracy for allvalues of the coupling constant.

Efficient Representation for Simulating U(1) Gauge Theories on Digital Quantum Computers at All Values of the Coupling