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

Digital quantum simulation (DQS) is one of the most promising paths forachieving first useful real-world applications for quantum processors. Yet evenassuming rapid progress in device engineering and development of fault-tolerantquantum processors, algorithmic resource optimisation will long remain crucialto exploit their full power. Currently, Trotterisation providesstate-of-the-art resource scaling. And recent theoretical studies ofTrotterised Ising models suggest that even better performance than expected maybe possible up to a distinct breakdown threshold in empirical performance.Here, we study multiple paradigmatic DQS models with experimentally realisableTrotterisations, and evidence the universality of a range of Trotterisationperformance behaviours, including not only the threshold, but also new featuresin the pre-threshold regime that is most important for practical applications.In each model, we observe a distinct Trotterisation threshold shared acrosswidely varying performance signatures; we further show that an onset of quantumchaotic dynamics causes the performance breakdown and is directly induced bydigitisation errors. In the important pre-threshold regime, we are able toidentify new distinct regimes displaying qualitatively different quasiperiodicperformance behaviours, and show analytic behaviour for properly definedoperational Trotter errors. Our results rely crucially on diverse newanalytical tools, and provide a previously missing unified picture ofTrotterisation behaviour across local observables, the global quantum state,and the full Trotterised unitary. This work provides new insights and tools foraddressing important questions about the algorithm performance and underlyingtheoretical principles of sufficiently complex Trotterisation-based DQS, thatwill help in extracting maximum simulation power from future quantumprocessors.

Quantum Chaos and Universal Trotterisation Behaviours in Digital Quantum Simulations