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

ZX-calculus is graphical language for quantum computing which usually focuseson qubits. In this paper, we generalise qubit ZX-calculus to qudit ZX-calculusin any finite dimension by introducing suitable generators, especially acarefully chosen triangle node. As a consequence we obtain a set of rewritingrules which can be seen as a direct generalisation of qubit rules, and a normalform for any qudit vectors. Based on the qudit ZX-calculi, we propose agraphical formalism called qufinite ZX-calculus as a unified framework for allqudit ZX-calculi, which is universal for finite quantum theory due to a normalform for matrix of any finite size. As a result, it would be interesting togive a fine-grained version of the diagrammatic reconstruction of finitequantum theory [Selby2021reconstructing] within the framework of qufiniteZX-calculus.

Qufinite ZX-calculus: a unified framework of qudit ZX-calculi