Shallow Shadows: Expectation Estimation Using Low-Depth Random Clifford Circuits
Shallow Shadows: Expectation Estimation Using Low-Depth Random Clifford Circuits
We provide practical and powerful schemes for learning properties of a quantum state using a small number of measurements. Specifically, we present a randomized measurement scheme modulated by the depth of a random quantum circuit in one spatial dimension. This scheme interpolates between two known classical shadows schemes based on …