Estimating expectation values is a key subroutine in quantum algorithms. Near-term
implementations face two major challenges: a limited number of samples required to learn a …

Analog quantum simulation is an essential routine for quantum computing and plays a
crucial role in studying quantum many-body physics. Typically, the quantum evolution of an …

Efficiently learning expectation values of a quantum state using classical shadow
tomography has become a fundamental task in quantum information theory. In a classical …

We introduce" holographic shadows", a new class of randomized measurement schemes for
classical shadow tomography that achieves the optimal scaling of sample complexity for …

Rapidly growing capabilities of quantum simulators to probe quantum many-body
phenomena require new methods to characterize increasingly complex states. We present a …

Interactions among atoms can lead to emergent phenomena, one of the most fascinating
being topological order. Topological phases are important in understanding high …

The Born rule, formulated almost a century ago, says that measuring a system yields an
outcome whose probability is determined by the wave-function amplitude. As if by magic …