The Haar measure plays a vital role in quantum information, but its study often requires a
deep understanding of representation theory, posing a challenge for beginners. This tutorial …

Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …

Variational quantum computing schemes train a loss function by sending an initial state
through a parametrized quantum circuit, and measuring the expectation value of some …

Quantum neural network architectures that have little to no inductive biases are known to
face trainability and generalization issues. Inspired by a similar problem, recent …

The projected ensemble is based on the study of the quantum state of a subsystem A
conditioned on projective measurements in its complement. Recent studies have observed …

A family of random matrices $\boldsymbol {X}^ N=(X_1^ N,\ldots, X_d^ N) $ converges
strongly to a family $\boldsymbol {x}=(x_1,\ldots, x_d) $ in a $ C^* $-algebra if $\| P …

We provide a new perspective on shadow tomography by demonstrating its deep
connections with the general theory of measurement frames. By showing that the formalism …