On the rank of two-dimensional simplicial distributions

Cihan Okay

doi:10.15672/hujms.1414442

Araştırma Makalesi

BibTex

RIS

Kaynak Göster

On the rank of two-dimensional simplicial distributions

Yıl 2025, Cilt: 54 Sayı: 2, 414 - 435, 28.04.2025

Cihan Okay

https://doi.org/10.15672/hujms.1414442

Öz

Simplicial distributions provide a framework for studying quantum contextuality, a generalization of Bell's non-locality. Understanding extremal simplicial distributions is of fundamental importance with applications to quantum computing. We introduce a rank formula for twisted simplicial distributions defined for $2$-dimensional measurement spaces and provide a systematic approach for describing extremal distributions.

Anahtar Kelimeler

simplicial sets, quantum contextuality, simplicial distributions

Destekleyen Kurum

US Air Force Office of Scientific Research

Proje Numarası

FA9550-21-1-0002

Kaynakça

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