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Quantum Communication with Polarization-Encoded Qubits under Majorization Monotone Dynamics

Author

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  • Artur Czerwinski

    (Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Torun, ul. Grudziadzka 5, 87-100 Torun, Poland)

Abstract

Quantum communication can be realized by transmitting photons that carry quantum information. Due to decoherence, the information encoded in the quantum state of a single photon can be distorted, which leads to communication errors. In particular, we consider the impact of majorization monotone dynamical maps on the efficiency of quantum communication. The mathematical formalism of majorization is revised with its implications for quantum systems. The discrimination probability for two arbitrary orthogonal states is used as a figure of merit to track the quality of quantum communication in the time domain.

Suggested Citation

  • Artur Czerwinski, 2022. "Quantum Communication with Polarization-Encoded Qubits under Majorization Monotone Dynamics," Mathematics, MDPI, vol. 10(21), pages 1-17, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3932-:d:950900
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    References listed on IDEAS

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    1. H. J. Kimble, 2008. "The quantum internet," Nature, Nature, vol. 453(7198), pages 1023-1030, June.
    2. Hung-Wen Wang & Chia-Wei Tsai & Jason Lin & Yu-Yun Huang & Chun-Wei Yang, 2022. "Efficient and Secure Measure-Resend Authenticated Semi-Quantum Key Distribution Protocol against Reflecting Attack," Mathematics, MDPI, vol. 10(8), pages 1-19, April.
    3. Holevo, A. S., 1973. "Statistical decision theory for quantum systems," Journal of Multivariate Analysis, Elsevier, vol. 3(4), pages 337-394, December.
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    Cited by:

    1. Saeed Haddadi & Maryam Hadipour & Soroush Haseli & Atta Ur Rahman & Artur Czerwinski, 2023. "Quantum Advantages of Teleportation and Dense Coding Protocols in an Open System," Mathematics, MDPI, vol. 11(6), pages 1-14, March.

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