Partial orbits of quantum gates and full three-particle entanglement

Federico Holik; M Losada; Hector Freytes

doi:10.1007/s11128-021-03261-3

Partial orbits of quantum gates and full three-particle entanglement

Federico Holik, M Losada, Hector Freytes

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce the notion of partial orbit for a given set of elementary quantum gates, and we study the action of different sets of gates on an initially three-particle disentangled state. We analyze the entanglement of the resulting quantum states by appealing to the violation of Svetlichny inequality. We find that the violation values are concentrated on specific regions. This constitutes evidence for the existence of a structure, which is quite different from that of a randomly generated (using the Haar measure) set of gates. In turn, this fact highlights the relevance of studying the physical properties of the partial orbits associated with different sets of elementary gates

Original language	English
Article number	351
Pages (from-to)	1-11
Number of pages	11
Journal	Quantum Information Processing
Volume	20
Issue number	10
DOIs	https://doi.org/10.1007/s11128-021-03261-3
Publication status	Published - 20 Oct 2021

Bibliographical note

Funding Information:
This work is supported by 1) MIUR, project PRIN 2017: “Theory and applications of resource sensitive logics” (code: 20173WKCM5). 2) MIUR project PRIN 2017: “Logic and Cognition: theory, experiments, applications” (code: 20173YP4N3). 3) RAS (Regione Autonoma della Sardegna) 2018: “Per un’estensione semantica della Logica Computazionale Quantistica-Impatto teorica e ricadute implementative” (code: RASSR40341).

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

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title = "Partial orbits of quantum gates and full three-particle entanglement",

abstract = "We introduce the notion of partial orbit for a given set of elementary quantum gates, and we study the action of different sets of gates on an initially three-particle disentangled state. We analyze the entanglement of the resulting quantum states by appealing to the violation of Svetlichny inequality. We find that the violation values are concentrated on specific regions. This constitutes evidence for the existence of a structure, which is quite different from that of a randomly generated (using the Haar measure) set of gates. In turn, this fact highlights the relevance of studying the physical properties of the partial orbits associated with different sets of elementary gates",

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Partial orbits of quantum gates and full three-particle entanglement

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