The scientific objective of the proposed project is to develop methods for modeling information systems using quantum queueing theory. The research topics covered by this project lie at the intersection of queueing theory and quantum information theory. By a quantum queue, we mean—analogous to a classical queue—a system consisting of: a request source, a queue of pending requests, and a service station, characterized by the fact that each of the system’s parameters is described by a density matrix, and transitions between the system’s states are described by quantum channels. As part of the project, methods will be developed for modeling request sources, unbounded and bounded buffers, and service stations. Procedures for connecting queues in a network of service stations that are consistent with the paradigm of quantum information theory will also be created. To model quantum information systems, it is necessary to develop new methods that take into account the quantum nature of information and are based on both quantum information theory and queueing theory. The methods developed as part of this project will be applied in the design of new information systems. Therefore, we believe that this project is of great importance for the development of future quantum information networks.

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