Exponential Separations Between Learning With and Without Quantum Memory

@article{Chen2022ExponentialSB,
  title={Exponential Separations Between Learning With and Without Quantum Memory},
  author={Sitan Chen and Jordan S. Cotler and Hsin-Yuan Huang and Jerry Zheng Li},
  journal={2021 IEEE 62nd Annual Symposium on Foundations of Computer Science (FOCS)},
  year={2022},
  pages={574-585}
}
We study the power of quantum memory for learning properties of quantum systems and dynamics, which is of great importance in physics and chemistry. Many state-of-the-art learning algorithms require access to an additional external quantum memory. While such a quantum memory is not required a priori, in many cases, algorithms that do not utilize quantum memory require much more data than those which do. We show that this trade-off is inherent in a wide range of learning problems. Our results… 

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