States with Minimum Dispersion of Observables in Kuryshkin-Wodkiewicz Quantum Mechanics

We address the question about the fundamental limitations on the possibility of transmitting messages imposed by the nature of the physical carrier of information. For the presentation of rigorous results for quantum communication channels (including their throughputs), it is necessary to introduce a quantum theory into the statistical structure, which is the basis for the quantum information theory. The minimum requirements to the description of a quantum communication channel are formulated. We use the Kuryshkin-Wodkiewicz model of quantum measurements and construct the expressions for operators dispersions and formulate the problem of finding minimum-dispersion states. The case of an electron in a hydrogen-like atom is considered. © Springer Nature Switzerland AG 2019.

Авторы
Редакторы
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Издательство
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Номер выпуска
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Язык
Английский
Страницы
508-519
Статус
Опубликовано
Подразделение
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Ссылка
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Номер
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Том
11965 LNCS
Год
2019
Организации
  • 1 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 2 Joint Institute for Nuclear Research (Dubna), Joliot-Curie, 6, Moscow Region, Dubna, 141980, Russian Federation
  • 3 Department of Informatics and Applied Mathematics, Russian Presidential Academy of National Economy, Moscow, Russian Federation
  • 4 Department of Applied Information Technologies, Russian State Social University, Moscow, Russian Federation
Ключевые слова
Hydrogen-like atom; Non-negative quantum distribution function; Quantum communication channels; Quantum mechanics
Дата создания
10.02.2020
Дата изменения
10.02.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/56455/