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

Mapping quantum error correcting codes to classical disordered statisticalmechanics models and studying the phase diagram of the latter has proven apowerful tool to study the fundamental error robustness and associated criticalerror thresholds of leading quantum error correcting codes underphenomenological noise models. In this work, we extend this mapping to admitrealistic, multi-parameter faulty quantum circuits in the description ofquantum error correcting codes. Based on the underlying microscopic circuitnoise model, we first systematically derive the associated strongly correlatedclassical spin models. We illustrate this approach in detail for the example ofa quantum repetition code in which faulty stabilizer readout circuits areperiodically applied. Finally, we use Monte-Carlo simulations to study theresulting phase diagram of the associated interacting spin model and benchmarkour results against a minimum-weight perfect matching decoder. The presentedmethod provides an avenue to assess the fundamental thresholds of QEC codes andassociated readout circuitry, independent of specific decoding strategies, andcan thereby help guiding the development of near-term QEC hardware.

Fundamental thresholds of realistic quantum error correction circuits from classical spin models