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quant-ph2024
Optimal high-precision shadow estimation
Sitan Chen, Jerry Li, Allen Liu
We give the first tight sample complexity bounds for shadow tomography and classical shadows in the regime where the target error is below some sufficiently small inverse polynomia…
quant-ph2024
An optimal tradeoff between entanglement and copy complexity for state tomography
Sitan Chen, Jerry Li, Allen Liu
There has been significant interest in understanding how practical constraints on contemporary quantum devices impact the complexity of quantum learning. For the classic question o…
quant-ph2021★ 6 cited
A Hierarchy for Replica Quantum Advantage
Sitan Chen, Jordan Cotler, Hsin-Yuan Huang +1
We prove that given the ability to make entangled measurements on at most replicas of an -qubit state simultaneously, there is a property of which requires at least…