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

Structures that demonstrate nonclassicality are of foundational interest inquantum mechanics, and can also be seen as resources for numerous applicationsin quantum information processing - particularly in the Hilbert space of $N$qubits. The theory of entanglement, quantum contextuality, and quantumnonlocality within the $N$-qubit Pauli group is further developed in thisthesis. The Strong Kochen-Specker theorem and the structures that prove it areintroduced and explored in detail. The pattern of connections betweenstructures that show entanglement, contextuality, and nonlocality is explained.Computational search algorithms and related tools were developed and used toperform complete searches for minimal nonclassical structures within the$N$-qubit Pauli group up to values of $N$ limited by our computationalresources. Our results are surveyed and prescriptions are given for using theelementary nonclassical structures we have found to construct more complextypes of such structures. Families of nonclassical structures are presented forall values of $N$, including the most compact family of projector-based parityproofs of the Kochen-Specker theorem yet discovered in all dimensions of theform $2^N$, where $N\geq2$. The applications of our results and theirconnection with other work is also discussed.

Nonclassical Structures within the N-qubit Pauli Group