Advertisement

Analytical View on Non-invasive Measurement of Moving Charge by Various Topologies of Wannier Qubit

Conference paper
  • 72 Downloads
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 283)

Abstract

Detection of moving charge in free space is presented in the framework of single electron CMOS devices. It opens the perspective for construction of new type detectors for beam diagnostic in accelerators. General phenomenological model of noise acting on position based qubit implemented in semiconductor quantum dots is given in the framework of simplistic tight-binding model. At first linear position-based qubit also known as Wannier qubit is considered with the situation of being excited by external movement of charged particle in its proximity. Analytical formulas describing the change of qubit state are derived analytically. In the next steps the roton semiconductor qubit representing closed loop of coupled quantum dots is given and the effect of external moving charge on the change of qubit state is determined by analytical formulas. Roton qubit physical state can be controlled by external magnetic and electric field what is the extension of controlling mechanism in comparison with linear Wannier qubit, when we have N quantum dots aligned.

Keywords

Weak measurement Linear and circular Wannier qubits Tight-binding model 

Notes

Acknowledgment

I would like to thank to M.Sc. Marcin Piontek (University of Lodz) and to PhD Marcin Kowalik (Rzeszow University of Technology) for their assistance in schemes graphical upgrade.

References

  1. 1.
    Fujisawa, T., Hayashi, T., Hirayama, Y.: Electron counting of single-electron tunneling current. Appl. Phys. Lett. 84, 2343 (2004).  https://doi.org/10.1063/1.1691491
  2. 2.
    Bednorz, A., Franke, K., Belzig, W.: Noninvasiveness and time symmetry of weak measurements. New J. Phys. 15 (2013). https://iopscience.iop.org/article/10.1088/1367-2630/15/2/023043
  3. 3.
    Pomorski, K., Giounanlis, P., Blokhina, E., Leipold, D., Staszewski, R.: Analytic view on coupled single electron lines. Semicond. Sci. Technol. 34(12) (2019). https://iopscience.iop.org/article/10.1088/1361-6641/ab4f40/meta
  4. 4.
    Pomorski, K., Giounanlis, P., Blokhina, E., Leipold, D., Peczkowski, P., Staszewski, R.B.: From two types of electrostatic position-dependent semiconductor qubits to quantum universal gates and hybrid semiconductor-superconducting quantum computer. In: Spie, vol. 11054, Superconductivity and Particle Accelerators (2019).  https://doi.org/10.1117/12.2525217
  5. 5.
    Pomorski, K.: Detection of moving charge by position dependent qubits. In: CERN 2020-Dublin UCD Webinar, 23 January 2020. https://indico.cern.ch/event/876476/contributions/3693568/. https://vidyoreplay.cern.ch/replay/showRecordingExternal.html?key=6lP8xJZuDcPToTD
  6. 6.
    Pomorski, K., Staszewski, R.: Analytical solutions for N-electron interacting system confined in graph of coupled electrostatic semiconductor and superconducting quantum dots in tight-binding model with focus on quantum information processing (2019). ArxiV:1907.02094. https://arxiv.org/abs/1907.03180
  7. 7.
    Pomorski, K., Staszewski, R.B.: Towards quantum internet and non-local communication in position based qubits. In: AIP Conference Proceedings, vol. 2241, p. 020030 (2020). https://arxiv.org/abs/1911.02094
  8. 8.
    Bashir, I., et al.: Mixed-signal control core for a fully integrated semiconductor quantum computer system-on-chip. In: ESSCIRC (2019). https://ieeexplore.ieee.org/abstract/document/8902885/
  9. 9.
    Giounanlis, P., Blokhina, E., Pomorski, K., Leipold, D., Staszewski, R.: Modeling of semiconductor electrostatic qubits realized through coupled quantum dots. IEEE Open Access (2019). https://doi.org/10.1109/ACCESS.2019.2909489. https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=8681511
  10. 10.
    Pomorski, K.: Quantum information processing, quantum communication and quantum Artificial Intelligence in semiconductor quantum computer. In: FQIS 2020-International Workshop for Young Researchers on the Future of Quantum Science and Technology, 3–6 February 2020. https://fqst2020.com/) + Pomorski, K., Staszewski, R., et al.: Programmable quantum matter in semiconductor. In: Seminar in Dublin Institute of Advanced Studies, 24 September 2019. https://www.dias.ie/2019/09/24/tuesday-1st-october-programmable-quantum-matter-in-semiconductor-electronics/ + Pomorski, K., Giounanlist, P., Blokhina, E., Staszewski, R.B.: ISIF 2019 Conference on Integrated Functionalities, Dublin, 12 August 2019
  11. 11.
    Pomorski, K., Giounanlist, P., Blokhina, E., Staszewski, R.B.: Modeling quantum universal gates in semiconductor CMOS. In: Scalable Hardware Platforms for Quantum Computing Proceedings of Scalable Hardware Platforms for Quantum Computing, Physikzentrum, Bad Honnef, Germany, 17 January 2019Google Scholar
  12. 12.
    Pomorski, K.: Analytic view on \(N\) body interaction in electrostatic quantum gates and decoherence effects in tight-binding model. Int. J. Quant. Inf., 2141001 (2021).  https://doi.org/10.1142/S021974992141001X
  13. 13.
    Pomorski, K.: Analytical view on tunnable electrostatic quantum swap gate in tight-binding model (2020). ArXiv: 2001.02513. https://arxiv.org/pdf/2001.02513.pdf
  14. 14.
    Pomorski, K., Staszewski, R.: Description of interface between semiconductor electrostatic qubit and Josephson junction in tight binding model. Acta Physica Polonica A 138(5) (2020)Google Scholar
  15. 15.
    Pomorski, K.: Fundamental description of Wannier qubits in semiconductor (2021). Arxiv:2103.05869
  16. 16.
    Pomorski, K.: Equivalence between classical epidemic model and non-dissipative and dissipative quantum tight-binding model (2020). ArXiv:2012.09923
  17. 17.
    Li, S., Chen, T., Xue, Z.: Fast holonomic quantum computation on superconducting circuits with optimal control. Adv. Quantum Technol. 3, 20000012020 (2020)Google Scholar

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

Authors and Affiliations

  1. 1.Cracow University of Technology, Faculty of Computer Science and Telecommunications, Department of Computer ScienceKrakówPoland
  2. 2.Quantum Hardware SystemsŁódźPoland

Personalised recommendations