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

Clifford circuits are insufficient for universal quantum computation orcreating $t$-designs with $t\ge 4$. While the entanglement entropy is not atelltale of this insufficiency, the entanglement spectrum is: the entanglementlevels are Poisson-distributed for circuits restricted to the Cliffordgate-set, while the levels follow Wigner-Dyson statistics when universal gatesare used. In this paper we show, using finite-size scaling analysis ofdifferent measures of level spacing statistics, that in the thermodynamiclimit, inserting a single T $(\pi/8)$ gate in the middle of a random Cliffordcircuit is sufficient to alter the entanglement spectrum from a Poisson to aWigner-Dyson distribution.

Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics