Advances in quantum technology require scalable techniques to efficiently extract
information from a quantum system. Traditional tomography is limited to a handful of qubits …

The classical shadows protocol, recently introduced by Huang, Kueng, and Preskill [Nat.
Phys. 16, 1050 (2020)], is a quantum-classical protocol to estimate properties of an unknown …

Estimation of the energy of quantum many-body systems is a paradigmatic task in various
research fields. In particular, efficient energy estimation may be crucial in achieving a …

Extracting information efficiently from quantum systems is a major component of quantum
information processing tasks. Randomized measurements, or classical shadows, enable …

Quantum incompatibility, referred as the phenomenon that some quantum measurements
cannot be performed simultaneously, is necessary for various quantum information …

Maximal sets of mutually unbiased bases are useful throughout quantum physics, both in a
foundational context and for applications. To date, it remains unknown if complete sets of …

Incompatible, ie, nonjointly measurable quantum measurements are a necessary resource
for many information processing tasks. It is known that increasing the number of distinct …

We propose a simple scheme to estimate fermionic observables and Hamiltonians relevant
in quantum chemistry and correlated fermionic systems. Our approach is based on …

In quantum theory general measurements are described by so-called Positive Operator-
Valued Measures (POVMs). We show that in $ d $-dimensional quantum systems an …

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