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

Extracting arbitrary state properties from analog quantum simulationspresents a significant challenge due to the necessity of diverse basismeasurements. Recent advancements in randomized measurement schemes havesuccessfully reduced measurement sample complexity, yet they demand precisecontrol over each qubit. In this work, we propose the \emph{Hamiltonian shadow}protocol, which solely depends on quench dynamics with a single Hamiltonian,without any ancillary systems. We provide physical and geometrical intuitionsand theoretical guarantees that our protocol can unbiasedly extract arbitrarystate properties. We also derive the sample complexity of this protocol andshow that it performs comparably to the classical shadow protocol. TheHamiltonian shadow protocol does not require sophisticated control and isuniversally applicable to various analog quantum systems, as illustratedthrough numerical demonstrations with Rydberg atom arrays under realisticparameter settings. The new protocol significantly broadens the application ofrandomized measurements for analog quantum simulators without precise controland ancillary systems.

Predicting Arbitrary State Properties from Single Hamiltonian Quench Dynamics