Skip to main content

Thank you for visiting You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.


Boosting simulation of quantum computers

An efficient parallelization technique for tensor network contraction, developed by a careful balance between memory requirement and computational time, speeds up classical simulation of quantum computers.

This is a preview of subscription content

Access options

Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.

Fig. 1: Tensor network contraction depiction.


  1. 1.

    Arute, F. et al. Nature 574, 505–510 (2019).

    Article  Google Scholar 

  2. 2.

    Zhong, H. S. et al. Science 370, 1460–1463 (2020).

    Article  Google Scholar 

  3. 3.

    Huang, C. et al. Nat. Comput. Sci. (2021).

  4. 4.

    Cirac, I., Perez-Garcia, D., Schuch, N. & Verstraete, F. Preprint at (2020).

  5. 5.

    Zhou, Y., Stoudenmire, E. M. & Waintal, X. Phys. Rev. X 10, 041038 (2020).

    Google Scholar 

  6. 6.

    Damm, C., Holzer, M. & McKenzie, P. Comput. Complex. 11, 54–89 (2003).

    Article  Google Scholar 

  7. 7.

    Gray, J. & Kourtis, S. Quantum 5, 410 (2021).

    Article  Google Scholar 

  8. 8.

    Villalonga, B. et al. npj Quant. Inf. 5, 86 (2019).

    Article  Google Scholar 

  9. 9.

    Ran, S.-J. et al. Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems (Springer, 2020).

Download references

Author information



Corresponding author

Correspondence to Jordi Tura.

Ethics declarations

Competing interests

The author declares no competing interests.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Tura, J. Boosting simulation of quantum computers. Nat Comput Sci 1, 638–639 (2021).

Download citation

  • Published:

  • Issue Date:

  • DOI:


Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing