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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Kitaev's toric code is an exactly solvable model with$\mathbb{Z}_2$-topological order, which has potential applications in quantumcomputation and error correction. However, a direct experimental realizationremains an open challenge. Here, we propose a building block for $\mathbb{Z}_2$lattice gauge theories coupled to dynamical matter and demonstrate how itallows for an implementation of the toric-code ground state and its topologicalexcitations. This is achieved by introducing separate matter excitations onindividual plaquettes, whose motion induce the required plaquette terms. Theproposed building block is realized in the second-order coupling regime and iswell suited for implementations with superconducting qubits. Furthermore, wepropose a pathway to prepare topologically non-trivial initial states duringwhich a large gap on the order of the underlying coupling strength is present.This is verified by both analytical arguments and numerical studies. Moreover,we outline experimental signatures of the ground-state wavefunction andintroduce a minimal braiding protocol. Detecting a $\pi$-phase shift betweenRamsey fringes in this protocol reveals the anyonic excitations of thetoric-code Hamiltonian in a system with only three triangular plaquettes. Ourwork paves the way for realizing non-Abelian anyons in analog quantumsimulators.

$\mathbb{Z}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation