Scientific Journal

Applied Aspects of Information Technology

RESEARCH OF DIGITAL QUBITES FOR HETEROGENEOUS DIGITAL QUANTUM COPROCESSORS
Abstract:

Recently, interest is growing towards real quantum computers, which are analog and probabilistic devices by nature. The interest is also growing to their digital version, both software and hardware. One approach to the construction of real quantum computers is to use quantum chips. The hardware implementation of digital quantum computers involves the use of field programmable gate arrays. A digital quantum coprocessor has already been created which has over a thousand digital qubits and can perform such complex algorithms as a quantum Fourier transformation. The created and working digital quantum coprocessor can already be used to work out various quantum algorithms, algorithms for the interaction of a classic computer and its quantum coprocessor, as well as for research various options for building digital qubits. The purpose of this work is to study the effect of the accuracy of the presentation of the state of digital qubit on the probability of obtaining the correct results of the digital quantum coprocessor. For the study, a heterogeneous digital quantum coprocessor with thirty two  digital qubits is selected, which will perform the Fourier quantum transformation. The article describes the basics of building digital quantum coprocessors. Schemes that illustrate the interaction of a classic computer and a quantum coprocessor, the architecture of the coprocessor and the possible structures of its digital qubits are given. Two variants of the coprocessor, homogeneous one with one pseudo-random codes generator and one comparator, and heterogeneous one, with a generator and a comparator in each digital quantum cell, from which digital qubits consist, are shown. Two options for comparators are also shown - with a direct functional converter and with reverse one. In this work, the influence of the length of the qubit state codes of heterogeneous digital quantum coprocessors on the probability of the correct results formation is investigated. It was shown that the probability of obtaining the correct results at the output of the digital heterogeneous coprocessor is sharply (up to fifty percent) improved with a decrease of the qubit state code length, that is, with a decrease in the coprocessor hardware cost. With a length of a code equal to two bits, the quality of the operation of the heterogeneous coprocessor becomes commensurate with the quality of the homogeneous one. The need for additional research in this direction, including with homogeneous coprocessors, is shown.

Authors:
Keywords
DOI
10.15276/aait.01.2021.8
References
  1. “Microsoft Quantum Documentation”. 2020. – Available from: https://docs.microsoft.com. – [Accessed: May, 2020].
  2. Fu, X., Riesebos, L., Lao, L.et al. “A heterogeneous quantum computer architecture”. In 2016 ACM International Conference on Computing Frontiers (CF'16). 2016. p. 323–330. DOI: 10.1145/2903150.2906827.
  3. Hlukhov, V. “FPGA Based Digital Quantum Computer Verification”. In 2020 IEEE 11th International Conference on Dependable Systems, Services and Technologies (DeSSerT). 2020. p. 178–182. DOI: 10.1109/DESSERT50317.2020.9125077.
  4. Bertels, K., Sarkar, A., Hubregtsen, T., Serrao, M., Mouedenne, A., Yadav, A., Krol, A. & Ashraf, I. “Quantum Computer Architecture: Towards Full-Stack Quantum Accelerators”. In 2020 EDAA Design, Automation & Test in Europe Conference & Exhibition (DATE). 2020. p. 1–6. DOI: 10.23919/DATE48585.2020.9116502.
  5. Hlukhov, V. & Havano, B. “FPGA-based Digital Quantum Coprocessor”. Advances in Cyber-Physical Systems. 2018; 3(2): 12–31. DOI: 10.23939/acps2018.02.067.
  6. DiVincenzo, D. “The physical implementation of quantum computation”. Fortschritte der Physik: Progress of Physics. 2000; 48 (9–11): 771–783.
  7. “Applying Moore’s Law to Quantum Qubits”. Quantum Computing Report. – Available from: https://quantumcomputingreport.com/our-take/applying-moores-law-to-quantum-qubits. 2019. – [Accessed: Nov, 2020].
  8. Moore, S. “What Intel Is Planning for The Future of Quantum Computing: Hot Qubits, Cold Control Chips, and Rapid Testing”. IEEE Spectrum, 2020. – Available from: https://spectrum.ieee.org/tech-talk/computing/hardware/intels-quantum-computing-plans-hot-qubits-cold-control-chips-and-rapid-testing. –[Accessed: Aug, 2020]. 
  9. Anderson, Ch.P., Bourassa, A., Miao, K.C., Wolfowicz, G., Mintun, P.J.,  Crook, A.L., Abe, H., Hassan, J.U., Son, N.T., Ohshima, T. & Awschalom, D. D.  “Electrical and optical control of single spins integrated in scalable semiconductor devices”. Science. 2019; 366(6470): 1225–1230. DOI: 10.1126/science.aax9406.
  10.  Miyamoto, K. & Shiohara, K. “Reduction of Qubits in Quantum Algorithm for Monte Carlo Simulation by Pseudo-random Number Generator”. Physical Review A. 2020. 022424. DOI: 10.1103/physreva.102.022424.
  11.  Hlukhov, V. “Implementing quantum Fourier transform in a digital quantum coprocessor”. Advances in Cyber-Physical Systems. 2019; 4(1): 6–13. DOI: 10.23939/acps2019.01.006.
  12.  Shor, P. “Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer”. In 35th Annual Symposium on Foundations of Computer Science. 1994; р. 124–134. – Available at: https://www.jstor.org/stable/2653075?seq=1.  – Accessed 25 Nov. 2020.
  13.  Hlukhov, V. “FPGA-Based Homogeneous and Heterogeneous Digital Quantum Coprocessors”. Advances in Science, Technology and Engineering Systems Journal (ASTESJ). 2020; 5(6): 1643–1650. DOI: 10.25046/aj0506195.
  14.  Grumbling, E., Horowitz, M. (eds.). “Quantum computing: progress and prospects”. The National Academies of Sciences, Engineering, and Medicine. Washington: DC: National Academies Press. 2019.
  15.  Khalil-Hani, M., Lee, Y. & Marsono, M. “An accurate FPGA-based hardware emulation on quantum Fourier transform”. In 13th Australasian Symposium on Parallel and Distributed Computing (AusPDC 2015). 2015. р. 23–30.
  16.  Gushanskiy, S. & Pereverzev, V. “Simulation of quantum computing using hardware cores” (in Russian). Scientific Journal of KubSAU, 2016; 123(09): 545–557. – Available from: http://ej.kubagro.ru/2016/09/pdf/37.pdf. – [Accessed: Dtc, 2020]. 
  17.  Hlukhov, V. “FPGA-based K-qubit digital quantum coprocessor”. Electrotechnic and Computer Systems. 2019; 31(107): 104–117. DOI: 10.15276/eltecs.31.107.2019.10.
  18.  Smith, J., Dalgarno, P., Warburton, R., Govorov, A., Karrai, K., Gerardot, B. & Petroff, P. “Voltage control of the spin dynamics of an exciton in a semiconductor quantum dot”. Phys. Rev. Lett. 2005; 94 197402. 
  19.  Hlukhov, V. “Comparison of Homogeneous and Heterogeneous Digital Quantum Coprocessors”. In International Workshop on Computational Methods and Information Transformation Systems, a satellite of IEEE 2020 XV International Scientific and Technical Conference on Computer Science and Information Technologies. 2020. р. 70–73.
Published:
Last download:
22 Oct 2021

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