IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i21p3932-d950900.html
   My bibliography  Save this article

Quantum Communication with Polarization-Encoded Qubits under Majorization Monotone Dynamics

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/21/3932/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/21/3932/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. T. Thu Ha Do & Milad Nonahal & Chi Li & Vytautas Valuckas & Hark Hoe Tan & Arseniy I. Kuznetsov & Hai Son Nguyen & Igor Aharonovich & Son Tung Ha, 2024. "Room-temperature strong coupling in a single-photon emitter-metasurface system," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    2. Penglong Ren & Shangming Wei & Weixi Liu & Shupei Lin & Zhaohua Tian & Tailin Huang & Jianwei Tang & Yaocheng Shi & Xue-Wen Chen, 2022. "Photonic-circuited resonance fluorescence of single molecules with an ultrastable lifetime-limited transition," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    3. L. Wells & T. Müller & R. M. Stevenson & J. Skiba-Szymanska & D. A. Ritchie & A. J. Shields, 2023. "Coherent light scattering from a telecom C-band quantum dot," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    4. Gyongyosi, Laszlo & Imre, Sandor, 2018. "Multiple access multicarrier continuous-variable quantum key distribution," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 491-505.
    5. Jake Rochman & Tian Xie & John G. Bartholomew & K. C. Schwab & Andrei Faraon, 2023. "Microwave-to-optical transduction with erbium ions coupled to planar photonic and superconducting resonators," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    6. Simon Hönl & Youri Popoff & Daniele Caimi & Alberto Beccari & Tobias J. Kippenberg & Paul Seidler, 2022. "Microwave-to-optical conversion with a gallium phosphide photonic crystal cavity," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    7. Antonio A Lagana & Max A Lohe & Lorenz von Smekal, 2011. "Interfacing External Quantum Devices to a Universal Quantum Computer," PLOS ONE, Public Library of Science, vol. 6(12), pages 1-5, December.
    8. M. Businger & L. Nicolas & T. Sanchez Mejia & A. Ferrier & P. Goldner & Mikael Afzelius, 2022. "Non-classical correlations over 1250 modes between telecom photons and 979-nm photons stored in 171Yb3+:Y2SiO5," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    9. Steve J. Bickley & Ho Fai Chan & Sascha L. Schmidt & Benno Torgler, 2020. "Quantum-Sapiens: The Quantum Bases for Human Expertise, Knowledge, and Problem-Solving," CREMA Working Paper Series 2020-18, Center for Research in Economics, Management and the Arts (CREMA).
    10. Yeonghun Lee & Yaoqiao Hu & Xiuyao Lang & Dongwook Kim & Kejun Li & Yuan Ping & Kai-Mei C. Fu & Kyeongjae Cho, 2022. "Spin-defect qubits in two-dimensional transition metal dichalcogenides operating at telecom wavelengths," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    11. Łukasz Dusanowski & Cornelius Nawrath & Simone L. Portalupi & Michael Jetter & Tobias Huber & Sebastian Klembt & Peter Michler & Sven Höfling, 2022. "Optical charge injection and coherent control of a quantum-dot spin-qubit emitting at telecom wavelengths," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    12. Steve J. Bickley & Alison Macintyre & Benno Torgler, 2021. "Artificial Intelligence and Big Data in Sustainable Entrepreneurship," CREMA Working Paper Series 2021-11, Center for Research in Economics, Management and the Arts (CREMA).
    13. Ming-Hao Jiang & Wenyi Xue & Qian He & Yu-Yang An & Xiaodong Zheng & Wen-Jie Xu & Yu-Bo Xie & Yanqing Lu & Shining Zhu & Xiao-Song Ma, 2023. "Quantum storage of entangled photons at telecom wavelengths in a crystal," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    14. Steve J. Bickley & Ho Fai Chan & Sascha L. Schmidt & Benno Torgler, 2021. "Quantum-Sapiens: The Quantum Bases for Human Expertise, Knowledge, and Problem-Solving (Extended Version with Applications)," CREMA Working Paper Series 2021-14, Center for Research in Economics, Management and the Arts (CREMA).
    15. Jiang, Min & Li, Hui & Zhang, Zeng-ke & Zeng, Jia, 2011. "Faithful teleportation of multi-particle states involving multi spatially remote agents via probabilistic channels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 760-768.
    16. D. Zhu & Z. P. Cian & C. Noel & A. Risinger & D. Biswas & L. Egan & Y. Zhu & A. M. Green & C. Huerta Alderete & N. H. Nguyen & Q. Wang & A. Maksymov & Y. Nam & M. Cetina & N. M. Linke & M. Hafezi & C., 2022. "Cross-platform comparison of arbitrary quantum states," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    17. Tulio Brito Brasil & Valeriy Novikov & Hugo Kerdoncuff & Mikael Lassen & Eugene S. Polzik, 2022. "Two-colour high-purity Einstein-Podolsky-Rosen photonic state," Nature Communications, Nature, vol. 13(1), pages 1-5, December.
    18. René Schwonnek & David Reeb & Reinhard F. Werner, 2016. "Measurement Uncertainty for Finite Quantum Observables," Mathematics, MDPI, vol. 4(2), pages 1-21, June.
    19. Manish Kumar Shukla & Minyi Huang & Indranil Chakrabarty & Junde Wu, 2023. "Correlations in Quantum Network Topologies Created with Cloning," Mathematics, MDPI, vol. 11(11), pages 1-15, May.
    20. Chun-Wei Yang & Hung-Wen Wang & Jason Lin & Chia-Wei Tsai, 2023. "Semi-Quantum Identification without Information Leakage," Mathematics, MDPI, vol. 11(2), pages 1-14, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3932-:d:950900. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.