Predicting many properties of a quantum system from very few measurements

@article{Huang2020PredictingMP,
  title={Predicting many properties of a quantum system from very few measurements},
  author={Hsin-yuan Huang and R. Kueng and John Preskill},
  journal={Nature Physics},
  year={2020},
  pages={1-8}
}
Predicting the properties of complex, large-scale quantum systems is essential for developing quantum technologies. We present an efficient method for constructing an approximate classical description of a quantum state using very few measurements of the state. This description, called a ‘classical shadow’, can be used to predict many different properties; order $${\mathrm{log}}\,(M)$$ log ( M ) measurements suffice to accurately predict M different functions of the state with high success… Expand
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