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Quantum Capacity of Non-Gaussian Channels

Arqand, Amir | 2021

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 53867 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Memarzadeh, Laleh
  7. Abstract:
  8. One of the critical subjects in quantum information science is the transmission of quantum information. Like classical channels, the question of the capacity of quantum channels arises in the quantum information theory; however, in the case of quantum information theory, there are various notions of capacities that can be defined. In quantum channels, information is encoded into the quantum degrees of freedoms, and the channels are used for the transmission of classical and quantum information. Therefore, the classical capacity and quantum capacity of quantum channels are defined as the optimal rate of the transmission of classical and quantum information through quantum channels, respectively. In this thesis, our goal is to study the quantum capacity of quantum channels. After reviewing this notion of capacity, we will investigate the quantum capacity of a non-Gaussian channel. In fact, one of the best candidates for encoding information is gaussian states, and the capacity of Gaussian channels (those that map gaussian states into gaussian states) have been thoroughly studied. However, noisy channels in the real world are not ideal gaussian channels which urges analysing non-Gaussian channels. In this thesis, after reviewing the background knowledge on this topic, we focus on the bosonic dephasing channel, and investigate its quantum capacity
  9. Keywords:
  10. Dephasing Channel ; Quantum Capacity ; Non-Gaussian Channels ; Quantum Channel

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