We use projected entangled-pair states (PEPS) to calculate the large deviation statistics of
the dynamical activity of the two-dimensional East model, and the two-dimensional …

Repeated projective measurements in unitary circuits can lead to an entanglement phase
transition as the measurement rate is tuned. In this work, we consider a different setting in …

We present a framework to integrate tensor network (TN) methods with reinforcement
learning (RL) for solving dynamical optimization tasks. We consider the RL actor-critic …

We consider a quantum fully packed loop model on the square lattice with a frustration-free
projector Hamiltonian and ring-exchange interactions acting on plaquettes. A boundary …

We generalize the area-law violating models of Fredkin and Motzkin spin chains into two
dimensions by building quantum six-and nineteen-vertex models with correlated …

We propose a frustration-free model for the Moore-Read quantum Hall state on sufficiently
thin cylinders with circumferences≲ 7 magnetic lengths. While the Moore-Read Hamiltonian …

Diffusion models (DMs) are a class of generative machine learning methods that sample a
target distribution by transforming samples of a trivial (often Gaussian) distribution using a …

We study perfect matchings, or close-packed dimer coverings, of finite sections of the eleven
Archimedean lattices and give a constructive proof showing that any two perfect matchings …

We introduce and explore an interacting integrable cellular automaton, the Fredkin
staircase, that lies outside the existing classification of such automata, and has a structure …

We study the dynamics and thermalization of the Fredkin spin chain, a system with local
three-body interactions, particle conservation and explicit kinetic constraints. We consider …