KFU. Card publication. Quantum protocols at presence of nonabelian superselection rules in the framework of algebraic model

KAZAN
FEDERAL UNIVERSITY

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QUANTUM PROTOCOLS AT PRESENCE OF NONABELIAN SUPERSELECTION RULES IN THE FRAMEWORK OF ALGEBRAIC MODEL

Form of presentation

Articles in international journals and collections

Year of publication

2022

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Authors, employees of KFU

Sitdikov Ayrat Salimovich, author

Other authors

Nikitin Aleksandr Sergeevich, author

Bibliographic description in the original language

International Journal of Quantum Information Vol. 20, No. 1 (2022) 2150033

Annotation

In this paper, we study the in?uence of nonabelian superselection rules on the transfer of quantum information with the help of qubits on the base of an algebraic model and formulate quantum protocols. We pay the main attention to the superselection structure of the algebra of observables OG de¯ned by the Cuntz algebra Od (a ¯eld algebra) that contains OG as a pointwise ¯xed subalgebra with respect to the action of the gauge group G. We prove that it is possible to code information only with the help of states such that projectors on them belong to the algebra of observables. These projectors commute with the elements of the representation of the group G, and therefore allow the recipient to restore the obtained information.

Keywords

Quantum information; Cuntz algebra; superselection rules.

The name of the journal

International Journal of Quantum Information

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=291658&p_lang=2

Resource files

File name	Size (MB)	Format
F_Sitdikov_Nik_IJQI.pdf	0,16	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Sitdikov Ayrat Salimovich	ru_RU
dc.contributor.author	Nikitin Aleksandr Sergeevich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	International Journal of Quantum Information Vol. 20, No. 1 (2022) 2150033	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=291658&p_lang=2	ru_RU
dc.description.abstract	International Journal of Quantum Information	ru_RU
dc.description.abstract	In this paper, we study the in?uence of nonabelian superselection rules on the transfer of quantum information with the help of qubits on the base of an algebraic model and formulate quantum protocols. We pay the main attention to the superselection structure of the algebra of observables OG de¯ned by the Cuntz algebra Od (a ¯eld algebra) that contains OG as a pointwise ¯xed subalgebra with respect to the action of the gauge group G. We prove that it is possible to code information only with the help of states such that projectors on them belong to the algebra of observables. These projectors commute with the elements of the representation of the group G, and therefore allow the recipient to restore the obtained information.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Quantum protocols at presence of nonabelian superselection rules in the framework of algebraic model	ru_RU
dc.type	Articles in international journals and collections	ru_RU