Skip to main content

Thank you for visiting nature.com. 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.

QUANTUM PHYSICS

Forbidden by symmetry

The physics of large systems is often understood as the outcome of the local operations among its components. Now, it is shown that this picture may be incomplete in quantum systems whose interactions are constrained by symmetries.

This is a preview of subscription content, access via your institution

Access options

Rent or buy this article

Prices vary by article type

from$1.95

to$39.95

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Decomposition of global quantum operations into local quantum gates.

References

  1. Marvian, I. Nat. Phys. https://doi.org/10.1038/s41567-021-01464-0 (2022).

  2. Nielsen, M. A. & Chuang, I. Quantum Computation and Quantum Information (Cambridge Univ. Press, 2010).

  3. Barenco, A. et al. Phys. Rev. A 52, 3457–3467 (1995).

    Article  ADS  Google Scholar 

  4. Lostaglio, M., Jennings, D. & Rudolph, T. Nat. Commun. 6, 6383 (2015).

    Article  ADS  Google Scholar 

  5. Breuer, H. P. & Petruccione, F. The Theory of Open Quantum Systems (Oxford Univ. Press, 2002).

  6. Affleck, I. & Haldane, F. D. M. Phys. Rev. B 36, 5291–5300 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  7. Gu, Z.-C. & Wen, X.-G. Phys. Rev. B 80, 155131 (2009).

    Article  ADS  Google Scholar 

  8. Ellison, T. D. & Fidkowski, L. Phys. Rev. X 9, 011016 (2019).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Álvaro M. Alhambra.

Ethics declarations

Competing interests

The author declares no competing interests.

Rights and permissions

Reprints and Permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alhambra, Á.M. Forbidden by symmetry. Nat. Phys. 18, 235–236 (2022). https://doi.org/10.1038/s41567-021-01483-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41567-021-01483-x

Search

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