Efficient Local Classical Shadow Tomography with Number Conservation

Understand

Shadow tomography aims to build a classical description of a quantum state from a sequence of simple random measurements.

• Physical observables are then reconstructed from the resulting classical shadow.
• Shadow protocols which use single-body random measurements are simple to implement and capture few-body observables efficiently, but do not apply to systems with fundamental number conservation laws, such as ultracold atoms.
• We address this shortcoming by proposing and analyzing a new local shadow protocol adapted to such systems.