IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v443y2016icp286-295.html
   My bibliography  Save this article

Bipartite separability of symmetric N-qubit noisy states using conditional quantum relative Tsallis entropy

Author

Listed:
  • Nayak, Anantha S.
  • Sudha,
  • Rajagopal, A.K.
  • Usha Devi, A.R.

Abstract

In any bipartition of a quantum state, it is proved that the negative values of the conditional version of sandwiched Tsallis relative entropy necessarily imply quantum entanglement. For any N, the separability ranges in the 1:N−1 partition of symmetric one parameter families of noisy N-qubit W- , GHZ-, WW̄ states are determined using the conditional quantum relative Tsallis entropy approach. The 1:N−1 separability range matches exactly with the range obtained through positive partial transpose criterion, for all N. The advantages of using non-commuting version of q-conditional relative Tsallis entropy are brought out through this and other one-parameter families of states.

Suggested Citation

  • Nayak, Anantha S. & Sudha, & Rajagopal, A.K. & Usha Devi, A.R., 2016. "Bipartite separability of symmetric N-qubit noisy states using conditional quantum relative Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 286-295.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:286-295
    DOI: 10.1016/j.physa.2015.09.086
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115008225
    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.2015.09.086?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. Abe, Sumiyoshi & Rajagopal, A.K, 2001. "Nonadditive conditional entropy and its significance for local realism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 289(1), pages 157-164.
    Full references (including those not matched with items on IDEAS)

    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. Yildiz, Anil & Mern, John & Kochenderfer, Mykel J. & Howland, Michael F., 2023. "Towards sequential sensor placements on a wind farm to maximize lifetime energy and profit," Renewable Energy, Elsevier, vol. 216(C).
    2. Ishak, Nur Izzati & Muniandy, S.V. & Chong, Wu Yi, 2021. "Entropy analysis of the discrete-time quantum walk under bit-flip noise channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    3. Chapeau-Blondeau, François, 2014. "Tsallis entropy for assessing quantum correlation with Bell-type inequalities in EPR experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 204-215.

    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:443:y:2016:i:c:p:286-295. 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.