Skip to main content

General-Purpose Parallel Simulator for Quantum Computing

  • Conference paper
  • First Online:
Unconventional Models of Computation (UMC 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2509))

Included in the following conference series:

Abstract

With current technologies, it seems to be very difficult to im- plement quantum computers with many qubits. It is therefore of impor- tance to simulate quantum algorithms and circuits on the existing com- puters. However, for a large-size problem, the simulation often requires more computational power than is available from sequential processing. Therefore, simulation methods for parallel processors are required.

We have developed a general-purpose simulator for quantum algorithms/ circuits on the parallel computer (Sun Enterprise4500). It can simulate algorithms/circuits with up-to 30 qubits. In order to test efficiency of our proposed methods, we have simulated Shor’s factorization algorithm and Grover’s database search, and we have analyzed robustness of the corresponding quantum circuits in the presence of both decoherence and operational errors. The corresponding results, statistics and analyses are presented in this paper.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Barenco, A. Ekert, K. Suominen, and P. Torma. Approximate quantum fourier transform and decoherence, 1996.

    Google Scholar 

  2. R. Cleve and J. Watrous. Fast parallel circuits for the quantum fourier transform. In IEEE Symposium on Foundations of Computer Science, pages 526–536, 2000.

    Google Scholar 

  3. David Deutsch. Quantum theory, the Church-Turing principle and the universal quantum computer. Proceedings of the Royal Society of London A, 400:97–117, 1985.

    MATH  MathSciNet  Google Scholar 

  4. David Deutsch. Quantum computational networks. Proceedings of the Royal Society of London A, 425:73–90, 1989.

    Article  MATH  MathSciNet  Google Scholar 

  5. Lov K. Grover. A fast quantum mechanical algorithm for database search. In ACM Symposium on Theory of Computing, pages 212–219, 1996.

    Google Scholar 

  6. Hao Guo, Gui Lu Long, and Yang Sun Li. Effects of imperfect gate operations in shor’s prime factorization algorithm. Chinese Chemical Society, 48(3):449–454, 2001.

    Google Scholar 

  7. Gui Lu Long, Yan Song Li, Wei Lin Zhang, and Chang Cun Tu. Dominant gate imperfection in grover’s quantum search algorithm. Physical Review A, 61(4):042305, 2000.

    Article  Google Scholar 

  8. Cesar Miquel, Juan Pablo Paz, and Roberto Perazzo. Factoring in a dissipative quantum computer. Los Alamos Physics Preprint Archive, http://xxx.lanl.gov/abs/quant-ph/9601021, 1996.

  9. K. Obenland and A. Despain. A parallel quantum computer simulator. In High Performance Computing, 1998.

    Google Scholar 

  10. Kevin Mark Obenland. Using Simulation To Access The Feasibility Of Quantum Computing. PhD thesis, University of Southern California, 1998.

    Google Scholar 

  11. Bernhard Ömer. Quantum programming in qcl. Master’s thesis, Institute of Information Systems Technical University of Vienn na, January 2000.

    Google Scholar 

  12. Yan Protzker, Jonathan Blow, and Joe Nelson. OpenQubit 0.2.0 http://www.ennui.net/~quantum/, December 1998.

  13. QDD ver.0.2, http://home.plutonium.net/~dagreve/qdd.html, March 1999.

  14. Peter W. Shor. Algorithms for quantum computation: Discrete logarithms and factori ng. In IEEE Symposium on Foundations of Computer Science, pages 124–134, 1994.

    Google Scholar 

  15. Peter W. Shor. Polynomial-time algorithms for prime factorization and discrete log arithms on a quantum computer. SIAM Journal on Computing, 26(5):1484–1509, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  16. Vlatko Vedral, Adriano Barenco, and Artur K. Ekert. Quantum networks for elementary arithmetic operations. Physical Review A, 54(1):147–153, 1996.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Niwa, J., Matsumoto, K., Imai, H. (2002). General-Purpose Parallel Simulator for Quantum Computing. In: Unconventional Models of Computation. UMC 2002. Lecture Notes in Computer Science, vol 2509. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45833-6_20

Download citation

  • DOI: https://doi.org/10.1007/3-540-45833-6_20

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44311-7

  • Online ISBN: 978-3-540-45833-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics