IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i13p2054-d1683979.html
   My bibliography  Save this article

Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System

Author

Listed:
  • Matija Tečer

    (Department of Physics, University of Zagreb Faculty of Science, Bijenička 32, 10000 Zagreb, Croatia
    Dipartimento di Fisica e Astronomia “G. Galilei”, University of Padua, Via Marzolo 8, I-35131 Padova, Italy)

  • Danko Radić

    (Department of Physics, University of Zagreb Faculty of Science, Bijenička 32, 10000 Zagreb, Croatia)

Abstract

We present a detailed mathematical description, both an analytical model and a numerical simulation, of a physical system based on a superconducting nanoelectromechanical setup that generates nanomechanical cat-states entangled with charge qubit states. The system consists of a superconducting grain in a regime of the Cooper pair box (the charge qubit) that performs mechanical vibrations between two bulk superconductors. Operation of the device is based on the AC Josephson effect, i.e., the phase difference between superconducting electrodes is controlled by a DC bias voltage following the operational switch on/off protocol. We compare an analytical idealised solution with numerical simulation using experimentally feasible parameters, different decoherence processes, as well as imperfections of experimental procedures such as time-control of the bias voltage, to get insight into how they influence the time-evolution of the realistic system, deteriorate the quantum coherence, and affect the formation of the cat-states.

Suggested Citation

  • Matija Tečer & Danko Radić, 2025. "Quantum Entanglement Between Charge Qubit and Mechanical Cat-States in Nanoelectromechanical System," Mathematics, MDPI, vol. 13(13), pages 1-26, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2054-:d:1683979
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/13/2054/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/13/2054/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. L. Y. Gorelik & A. Isacsson & Y. M. Galperin & R. I. Shekhter & M. Jonson, 2001. "Coherent transfer of Cooper pairs by a movable grain," Nature, Nature, vol. 411(6836), pages 454-457, May.
    2. K. J. Satzinger & Y. P. Zhong & H.-S. Chang & G. A. Peairs & A. Bienfait & Ming-Han Chou & A. Y. Cleland & C. R. Conner & É. Dumur & J. Grebel & I. Gutierrez & B. H. November & R. G. Povey & S. J. Whi, 2018. "Quantum control of surface acoustic-wave phonons," Nature, Nature, vol. 563(7733), pages 661-665, November.
    3. Xue Ming Henry Huang & Christian A. Zorman & Mehran Mehregany & Michael L. Roukes, 2003. "Nanodevice motion at microwave frequencies," Nature, Nature, vol. 421(6922), pages 496-496, January.
    4. Yiwen Chu & Prashanta Kharel & Taekwan Yoon & Luigi Frunzio & Peter T. Rakich & Robert J. Schoelkopf, 2018. "Creation and control of multi-phonon Fock states in a bulk acoustic-wave resonator," Nature, Nature, vol. 563(7733), pages 666-670, November.
    5. Y. Nakamura & Yu. A. Pashkin & J. S. Tsai, 1999. "Coherent control of macroscopic quantum states in a single-Cooper-pair box," Nature, Nature, vol. 398(6730), pages 786-788, April.
    6. Mohammad Mirhosseini & Alp Sipahigil & Mahmoud Kalaee & Oskar Painter, 2020. "Superconducting qubit to optical photon transduction," Nature, Nature, vol. 588(7839), pages 599-603, December.
    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. 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.
    2. Ming-Han Chou & Hong Qiao & Haoxiong Yan & Gustav Andersson & Christopher R. Conner & Joel Grebel & Yash J. Joshi & Jacob M. Miller & Rhys G. Povey & Xuntao Wu & Andrew N. Cleland, 2025. "Deterministic multi-phonon entanglement between two mechanical resonators on separate substrates," Nature Communications, Nature, vol. 16(1), pages 1-7, December.
    3. Rui-Chang Shen & Jie Li & Yi-Ming Sun & Wei-Jiang Wu & Xuan Zuo & Yi-Pu Wang & Shi-Yao Zhu & J. Q. You, 2025. "Cavity-magnon polaritons strongly coupled to phonons," Nature Communications, Nature, vol. 16(1), pages 1-7, December.
    4. Agnetta Y. Cleland & E. Alex Wollack & Amir H. Safavi-Naeini, 2024. "Studying phonon coherence with a quantum sensor," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
    5. J. M. Kitzman & J. R. Lane & C. Undershute & P. M. Harrington & N. R. Beysengulov & C. A. Mikolas & K. W. Murch & J. Pollanen, 2023. "Phononic bath engineering of a superconducting qubit," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    6. Arjun Iyer & Yadav P. Kandel & Wendao Xu & John M. Nichol & William H. Renninger, 2024. "Coherent optical coupling to surface acoustic wave devices," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    7. Germain Tobar & Sreenath K. Manikandan & Thomas Beitel & Igor Pikovski, 2024. "Detecting single gravitons with quantum sensing," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    8. Weitao Yuan & Chenwen Yang & Danmei Zhang & Yang Long & Yongdong Pan & Zheng Zhong & Hong Chen & Jinfeng Zhao & Jie Ren, 2021. "Observation of elastic spin with chiral meta-sources," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    9. Ji-Qian Wang & Zi-Dong Zhang & Si-Yuan Yu & Hao Ge & Kang-Fu Liu & Tao Wu & Xiao-Chen Sun & Le Liu & Hua-Yang Chen & Cheng He & Ming-Hui Lu & Yan-Feng Chen, 2022. "Extended topological valley-locked surface acoustic waves," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    10. Atsushi Sakaguchi & Shunya Konno & Fumiya Hanamura & Warit Asavanant & Kan Takase & Hisashi Ogawa & Petr Marek & Radim Filip & Jun-ichi Yoshikawa & Elanor Huntington & Hidehiro Yonezawa & Akira Furusa, 2023. "Nonlinear feedforward enabling quantum computation," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    11. Yannick Seis & Thibault Capelle & Eric Langman & Sampo Saarinen & Eric Planz & Albert Schliesser, 2022. "Ground state cooling of an ultracoherent electromechanical system," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    12. 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.
    13. Lei Shao & Vikrant J. Gokhale & Bo Peng & Penghui Song & Jingjie Cheng & Justin Kuo & Amit Lal & Wen-Ming Zhang & Jason J. Gorman, 2022. "Femtometer-amplitude imaging of coherent super high frequency vibrations in micromechanical resonators," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    14. Hugo Molinares & Bing He & Vitalie Eremeev, 2023. "Transfer of Quantum States and Stationary Quantum Correlations in a Hybrid Optomechanical Network," Mathematics, MDPI, vol. 11(13), pages 1-18, June.
    15. Shuai-Peng Wang & Alessandro Ridolfo & Tiefu Li & Salvatore Savasta & Franco Nori & Y. Nakamura & J. Q. You, 2023. "Probing the symmetry breaking of a light–matter system by an ancillary qubit," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    16. Chiao-Hsuan Wang & Fangxin Li & Liang Jiang, 2022. "Quantum capacities of transducers," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    17. Han Zhao & Bingzhao Li & Huan Li & Mo Li, 2022. "Enabling scalable optical computing in synthetic frequency dimension using integrated cavity acousto-optics," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    18. Berrada, K. & Sabik, A. & Khalil, E.M. & Abdel-Khalek, S., 2024. "Geometric phase and Wehrl phase entropy for two superconducting qubits in a coherent field system under the effect of nonlinear medium," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    19. Roel Burgwal & Ewold Verhagen, 2023. "Enhanced nonlinear optomechanics in a coupled-mode photonic crystal device," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    20. Gupta, Shivam & Modgil, Sachin & Bhatt, Priyanka C. & Chiappetta Jabbour, Charbel Jose & Kamble, Sachin, 2023. "Quantum computing led innovation for achieving a more sustainable Covid-19 healthcare industry," Technovation, Elsevier, vol. 120(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:13:y:2025:i:13:p:2054-:d:1683979. 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.