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

Here we present an efficient quantum algorithm to generate an equivalentmany-body state to Laughlin's $\nu=1/3$ fractional quantum Hall state on adigitized quantum computer. Our algorithm only uses quantum gates acting onneighboring qubits in a quasi-one-dimensional setting, and its circuit depth islinear in the number of qubits, i.e., the number of Landau orbitals in thesecond quantized picture. We identify correlation functions that serve assignatures of the Laughlin state and discuss how to obtain them on a quantumcomputer. We also discuss a generalization of the algorithm for creatingquasiparticles in the Laughlin state. This paves the way for several importantstudies, including quantum simulation of nonequilibrium dynamics and braidingof quasiparticles in quantum Hall states.

Creating and manipulating a Laughlin-type $\nu=1/3$ fractional quantum Hall state on a quantum computer with linear depth circuits