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SUMMARY:CONJUGATE OBJECTS IN QUANTUM COMMUNICATION
DTSTART;VALUE=DATE-TIME:20220712T080000Z
DTEND;VALUE=DATE-TIME:20220712T082000Z
DTSTAMP;VALUE=DATE-TIME:20260608T110308Z
UID:indico-contribution-299@events.sinp.msu.ru
DESCRIPTION:Speakers: Айрат Ситдиков (Россия)\n**CONJUG
 ATE OBJECTS IN QUANTUM COMMUNICATION**\n\nA. S. Sitdikov1\,2\, A.S. Nikiti
 n1\n1 Kazan State Power Engineering University\, Kazan\, Russia\;\n 2Kazan
  (Volga region) Federal University\, Kazan\, Russia\n	E-mail: airat_vm@ram
 bler.ru	\n\nThe basis of quantum communication is a set of methods for tra
 nsfer of information encoded with the help of quantum states of elementary
  particles. The carrier of a unit of quantum information in this case is a
  qubit - a two-level quantum system (a photon with vertical and horisontal
  polarizations\, an electron with two basic states\, an ion of a hydrogen 
 molecule H+2 with basic states of electron localization at the first or se
 cond proton\, etc.). Nuclear objects - nucleons can also be considered as 
 a qubit with two basic states in the isospin space.\n	In [1]\, we construc
 t the algebraic model for the study of few-nucleon systems with non-abelia
 n superselection rules\, and in [2]\, this model was applied to describe t
 he transfer of quantum information in the presence of constraints by super
 selection rules by isospin. Isospin is a non-abelian charge and it is conv
 enient to describe such charges based on the framework symmetric tensor C*
 -categories. In [2]\, it was shown that the transmitted number of classica
 l messages encoded in qubits is equal to the number of coherent superselec
 tion sectors\, taking into account their multiplicity. Within the framewor
 k of algebraic model\, superselection sectors can be defined as a class of
  unitary equivalence of an irreducible endomorphism [ρ] (as an object of 
 the C*-category) of the algebra of observables of the system.	\n	 In the s
 tudy of the quantum communication\, as well as quantum cryptography\, due 
 to the compensating property\, the conjugate charge also plays an importan
 t role. In this paper\, a study is carried out of conjugate superselection
  sectors [ρ]* corresponding to a conjugate object (charge) of the categor
 y. It is shown that the constructed conjugate object satisfies the require
 d conjugate equations. Classes of morphisms intertwining super-selection s
 ectors and certain functions over these morphisms are studied\, which allo
 w us to identify the properties of the conjugate charge generating certain
  superselection rules.\n\nhttps://events.sinp.msu.ru/event/8/contributions
 /299/
LOCATION: Физический ф-т\, ауд. 5-42
URL:https://events.sinp.msu.ru/event/8/contributions/299/
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