We consider the preparation of matrix product states (MPS) on quantum devices via
quantum circuits of local gates. We first prove that faithfully preparing translation-invariant …

Quantum chaos has become a cornerstone of physics through its many applications. One
trademark of quantum chaotic systems is the spread of local quantum information, which …

Tensor networks are efficient representations of high-dimensional tensors with widespread
applications in quantum many-body physics. Recently, they have been adapted to the field …

Observational entropy—a quantity that unifies Boltzmann's entropy, Gibbs' entropy, von
Neumann's macroscopic entropy, and the diagonal entropy—was recently argued to play a …

We investigate quantum random tensor network states in which the dimension of the bond
scales polynomially with the size of the system N. Specifically, we examine the …

Adaptive quantum circuits, which combine local unitary gates, midcircuit measurements, and
feedforward operations, have recently emerged as a promising avenue for efficient state …

The complexity of quantum many-body systems is manifested in the vast diversity of their
correlations, making it challenging to distinguish the generic from the atypical features. This …

We explain why and numerically confirm that there are no barren plateaus in the energy
optimization of isometric tensor network states (TNS) for extensive Hamiltonians with finite …

A bstract The existence of barren plateaus has recently revealed new training challenges in
quantum machine learning (QML). Uncovering the mechanisms behind barren plateaus is …

Vanishing gradients can pose substantial obstacles for high-dimensional optimization
problems. Here we consider energy minimization problems for quantum many-body systems …