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Inside quantum black boxes

A Publisher Correction to this article was published on 03 June 2021

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On the face of it, characterizing quantum dynamics in the exponentially large Hilbert space of a many-body system might require prohibitively many experiments. In fact, the locality of physical interactions means that it can be done efficiently.

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Fig. 1: Geometrically local Hamiltonians defined by weighted local terms.

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  1. Anshu, A., Arunachalam, S., Kuwahara, T. & Soleimanifar, M. Nat. Phys.

  2. Bairey, E., Arad, I. & Lindner, N. H. Phys. Rev. Lett. 122, 020504 (2019).

    ADS  Article  Google Scholar 

  3. Klivans, A. R. & Meka, R. Learning graphical models using multiplicative weights. In IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS) 343–354 (IEEE, 2017).

  4. Wang, J. et al. Nat. Phys. 13, 551–555 (2017).

    Article  Google Scholar 

  5. Granade, C., Ferrie, C., Wiebe, N. & Cory, D. G. New J. Phys. 14, 103013 (2012).

    ADS  MathSciNet  Article  Google Scholar 

  6. Qi, X.-L. & Ranard, D. Quantum 3, 159 (2019).

    Article  Google Scholar 

  7. Evans, T. J., Harper, R. & Flammia, S. T. Preprint at (2019).

Download references

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Correspondence to Vedran Dunjko.

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Dunjko, V. Inside quantum black boxes. Nat. Phys. 17, 880–881 (2021).

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