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

Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

We provide a polynomial-time classical algorithm for noisy quantum circuits. The algorithm
computes the expectation value of any observable for any circuit, with a small average error …

Introducing a class of SU (2) invariant quantum unitary circuits generating chiral transport,
we examine the role of broken space-reflection and time-reversal symmetries on spin …

Abstract We discuss Hamiltonian and Liouvillian learning for analog quantum simulation
from non-equilibrium quench dynamics in the limit of weakly dissipative many-body systems …

Quantum computing is an exciting field that uses quantum principles, such as quantum
superposition and entanglement, to tackle complex computational problems …

Dirac fluids—interacting systems obeying particle–hole symmetry and Lorentz invariance—
are among the simplest hydrodynamic systems; they have also been studied as effective …

Superdiffusion is surprisingly easily observed even in systems without the integrability
underpinning this phenomenon. Indeed, the classical Heisenberg chain—one of the …

In this paper, we address the problem of Yang-Baxter integrability of doubled quantum
circuit of qubits (spins 1/2) with open boundary conditions where the two circuit replicas are …

Characterizing the nature of hydrodynamical transport properties in quantum dynamics
provides valuable insights into the fundamental understanding of exotic non-equilibrium …