Simulating quantum many-body systems is a key application for emerging quantum
processors. While analog quantum simulation has already demonstrated quantum …

We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

Midcircuit operations, such as qubit state measurement or reset, are central to many tasks in
quantum information science, including quantum computing, entanglement generation, and …

Quantum systems evolve in time in one of two ways: through the Schrödinger equation or
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …

Entanglement asymmetry, which serves as a diagnostic tool for symmetry breaking and a
proxy for thermalization, has recently been proposed and studied in the context of symmetry …

Measurement has a special role in quantum theory: by collapsing the wavefunction, it can
enable phenomena such as teleportation and thereby alter the 'arrow of time'that constrains …

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 …

We report universal statistical properties displayed by ensembles of pure states that
naturally emerge in quantum many-body systems. Specifically, two classes of state …

We study the problem of observing quantum collective phenomena emerging from large
numbers of measurements. These phenomena are difficult to observe in conventional …

We develop an analytical approach to the study of one-dimensional free fermions subject to
random projective measurements of local site occupation numbers, based on the Keldysh …