Capacity of the Covariant Pauli Channel

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Poshtvan, Abbas | 2022

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 55173 (04)
University: Sharif University of Technolog
Department: Physics
Advisor(s): Karimipour, Vahid
Abstract:
One of the main challenges in the communication and storage of information is its evolution due to the environmental noises. There are various techniques in coding theory to decrease the probability of changing the message using redundancy. Among all of the possible codings, the maximum rate that can be achieved for reliable communication through a channel is called the capacity of that channel. In the classical information domain, this quantity has been investigated in the Shannon's second theorem and is equivalent to a finite convex optimization problem. This problem is much more complicated when dealing with quantum information and thus studying special common channels has been doubled in importance. In this research, the capacity of the covariant qubit Pauli channel which is special case of the Pauli channel and A generalization of depolarizing channel has been studied and different types of its capacities has been analyzed.
Keywords:
Quantum Channel ; Channel Capacity ; Covariant Pauli Channel ; Shannon Capacity