Quantifying and verifying the control level in preparing a quantum state are central
challenges in building quantum devices. The quantum state is characterized from …

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 …

The study of generic properties of quantum states has led to an abundance of insightful
results. A meaningful set of states that can be efficiently prepared in experiments are ground …

Quantum trajectories are Markov processes modeling the evolution of a quantum system
subjected to repeated independent measurements. Under purification and irreducibility …

ABSTRACT A discrete quantum process is represented by a sequence of quantum
operations, which are completely positive maps that are not necessarily trace preserving …

Let (M, τ) be a tracial von Neumann algebra with a separable predual and let (Ω, P) be a
probability space. A bounded positive random linear operator on L 1 (M, τ) is a map γ: Ω× L …

The generic behavior of quantum systems has long been of theoretical and practical interest.
Any quantum process is represented by a sequence of quantum channels. We consider …

The development of classical ergodic theory has had a significant impact on the areas of
mathematics, physics, and, in general, applied sciences. The quantum ergodic theory of …

Lyapunov exponents describe the asymptotic behavior of the singular values of large
products of random matrices. A direct computation of these exponents is however often …

Solvable matrix product and projected entangled pair states evolved by dual and ternary-
unitary quantum circuits have analytically accessible correlation functions. Here, we …