Spectral correlations are a powerful tool to study the dynamics of quantum many-body
systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix …

A bstract The principle of maximum ignorance posits that the coarse-grained description of a
system is maximally agnostic about its underlying microscopic structure. We briefly review …

The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the
Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between …

The inherent irreversibility of quantum dynamics for open systems poses a significant barrier
to the inversion of unknown quantum processes. To tackle this challenge, we propose the …

We prove sharp universal upper bounds on the number of linearly independent steady and
asymptotic states of discrete-and continuous-time Markovian evolutions of open quantum …

Continuous-time Markovian evolution appears to be manifestly different in classical and
quantum worlds. We consider ensembles of random generators of N-dimensional Markovian …

Quantum relative entropy programs are convex optimization problems which minimize a
linear functional over an affine section of the epigraph of the quantum relative entropy …

We introduce a new notion called Q-secure pseudorandom isometries (PRI). A
pseudorandom isometry is an efficient quantum circuit that maps an n-qubit state to an (n+ …

We study a quantum analogue of the 2-Wasserstein distance as a measure of proximity on
the set $\Omega_N $ of density matrices of dimension $ N $. We show that such (semi-) …

The coexistence of quantum and classical signals over the same optical fiber with minimal
degradation of the transmitted quantum information is critical for operating large-scale …