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Classical shadows are a computationally efficient approach to storing quantum states on a classical computer for the purposes of estimating expectation values of local observables, obtained by performing repeated random measurements.
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S. Aaronson, Shadow tomography of quantum states, in Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing , STOC 2018 (Association for Computing Machinery, New York, NY, USA, 2018) p. 325–338
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C. W. von Keyserlingk, T. Rakovszky, F. Pollmann, and S. L. Sondhi, Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws, Phys. Rev. X 8
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A. Nahum, S. Vijay, and J. Haah, Operator spreading in random unitary circuits, Phys. Rev. X 8
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V. Khemani, A. Vishwanath, and D. A. Huse, Operator spreading and the emergence of dissipative hydrodynamics under unitary evolution with conservation laws, Phys. Rev. X 8
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S. Gopalakrishnan, D. A. Huse, V. Khemani, and R. Vasseur, Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems, Phys. Rev. B 98
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M. Paini and A. Kalev, An approximate description of quantum states, arXiv:1910.10543 (2019)
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H.-Y. Huang, R. Kueng, and J. Preskill, Predicting many properties of a quantum system from very few measurements, Nature Physics 16
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Cited in the paper.
P. M. Poggi, N. K. Lysne, K. W. Kuper, I. H. Deutsch, and P. S. Jessen, Quantifying the sensitivity to errors in analog quantum simulation, PRX Quantum 1
2020
Later among the works it cites.
A. Elben, S. T. Flammia, H.-Y. Huang, R. Kueng, J. Preskill, B. Vermersch, and P. Zoller, The randomized measurement toolbox (2022)
2022
Closest in time.
S. Chen, J. Cotler, H. Huang, and J. Li, Exponential separations between learning with and without quantum memory, in 2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS) (IEEE Computer Society, Los Alamitos, CA, USA, 2022) pp. 574–585
2022
Closest in time.
W. W. Ho and S. Choi, Exact emergent quantum state designs from quantum chaotic dynamics, Physical Review Letters 128
2022
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H.-Y. Huang, R. Kueng, and J. Preskill, Efficient estimation of pauli observables by derandomization, Physical Review Letters 127
Cited in the paper.
H.-Y. Huang, R. Kueng, and J. Preskill, Information-theoretic bounds on quantum advantage in machine learning, Phys. Rev. Lett. 126
Cited in the paper.