IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v355y2005i2p319-332.html
   My bibliography  Save this article

Kinetic equations for quantum information

Author

Listed:
  • Qiao, Bi
  • Xing, X.S.
  • Ruda, H.E.

Abstract

We study several kinetic equations for quantum information density (QID) based on the classical dynamical statistical information theory (Trans. Beijing Inst. Technol. 24 (2004) 1; Acta Phys. Scinica 53 (2004) 2852). We find that the Liouville equation, SKE and quantum Fokker–Planck equation for information density or entropy operator share the same formalisms as that of density operator. This allows one to apply QID directly to perform quantum information. Furthermore, we also obtain a quantum Fokker–Planck equation for information density which exposes that flow of shift and diffusion for information density introduce change of total derivative of information density with respect to time. As an application, the complex spectrum of SKE for information density has been discussed, which can be used to study stability of quantum computing in a spin-boson model.

Suggested Citation

  • Qiao, Bi & Xing, X.S. & Ruda, H.E., 2005. "Kinetic equations for quantum information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 319-332.
    • Handle: RePEc:eee:phsmap:v:355:y:2005:i:2:p:319-332
    DOI: 10.1016/j.physa.2005.02.023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105001792
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.02.023?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Antoniou, I. & Melnikov, Yu. & Qiao, Bi, 1997. "Master equation for a quantum system driven by a strong periodic field in the quasienergy representation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 97-114.
    2. Qiao, Bi & Ruda, H.E. & Zhan, M.S. & Zeng, X.H., 2003. "Kinetic equation, non-perturbative approach and decoherence free subspace for quantum open system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 345-358.
    3. B. E. Kane, 1998. "A silicon-based nuclear spin quantum computer," Nature, Nature, vol. 393(6681), pages 133-137, May.
    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. Qiao, Bi & Ruda, H.E. & Zhou, Z.D., 2006. "Dynamical equations of quantum information and interference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 170-182.

    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. Ingvild Hansen & Amanda E. Seedhouse & Santiago Serrano & Andreas Nickl & MengKe Feng & Jonathan Y. Huang & Tuomo Tanttu & Nard Dumoulin Stuyck & Wee Han Lim & Fay E. Hudson & Kohei M. Itoh & Andre Sa, 2024. "Entangling gates on degenerate spin qubits dressed by a global field," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    2. Cafaro, Carlo, 2017. "Geometric algebra and information geometry for quantum computational software," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 154-196.
    3. Lai Xu & Aamir Muhammad & Yifei Pu & Jiliu Zhou & Yi Zhang, 2019. "Fractional-order quantum particle swarm optimization," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-16, June.
    4. Sellier, J.M. & Dimov, I., 2014. "A Wigner approach to the study of wave packets in ordered and disordered arrays of dopants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 185-190.
    5. Rishabh Upadhyay & Dmitry S. Golubev & Yu-Cheng Chang & George Thomas & Andrew Guthrie & Joonas T. Peltonen & Jukka P. Pekola, 2024. "Microwave quantum diode," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    6. Qiao, Bi & Ruda, Harry E. & Xianghua, Zeng & Hu, Bambi, 2003. "Extended space for quantum cryptography using mixed states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 357-370.
    7. Katrina Barnes & Peter Battaglino & Benjamin J. Bloom & Kayleigh Cassella & Robin Coxe & Nicole Crisosto & Jonathan P. King & Stanimir S. Kondov & Krish Kotru & Stuart C. Larsen & Joseph Lauigan & Bri, 2022. "Assembly and coherent control of a register of nuclear spin qubits," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    8. Procopios Constantinou & Taylor J. Z. Stock & Li-Ting Tseng & Dimitrios Kazazis & Matthias Muntwiler & Carlos A. F. Vaz & Yasin Ekinci & Gabriel Aeppli & Neil J. Curson & Steven R. Schofield, 2024. "EUV-induced hydrogen desorption as a step towards large-scale silicon quantum device patterning," Nature Communications, Nature, vol. 15(1), pages 1-13, December.
    9. Sellier, Jean Michel, 2018. "Combining neural networks and signed particles to simulate quantum systems more efficiently," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 62-71.
    10. Roland W. Scholz, 2016. "Sustainable Digital Environments: What Major Challenges Is Humankind Facing?," Sustainability, MDPI, vol. 8(8), pages 1-31, July.
    11. Lukas M. Veldman & Evert W. Stolte & Mark P. Canavan & Rik Broekhoven & Philip Willke & Laëtitia Farinacci & Sander Otte, 2024. "Coherent spin dynamics between electron and nucleus within a single atom," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    12. Piotr Kot & Maneesha Ismail & Robert Drost & Janis Siebrecht & Haonan Huang & Christian R. Ast, 2023. "Electric control of spin transitions at the atomic scale," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    13. Sellier, J.M. & Dimov, I., 2015. "Toward solotronics design in the Wigner formalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 287-296.

    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:eee:phsmap:v:355:y:2005:i:2:p:319-332. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.