Quantum computational complexity estimates the difficulty of constructing quantum states
from elementary operations, a problem of prime importance for quantum computation …

We develop a geometric approach to operator growth and Krylov complexity in many-body
quantum systems governed by symmetries. We start by showing a direct link between a …

A bstract We examine holographic complexity in the doubly holographic model introduced in
[1, 2] to study quantum extremal islands. We focus on the holographic complexity= volume …

In this paper, we compare the saturation timescales for complexity, linear entropy, and
entanglement negativity for two open quantum systems. Our first model is a coupled …

We probe the contraction from 2 d relativistic CFTs to theories with Bondi-Metzner-Sachs
(BMS) symmetries, or equivalently conformal Carroll symmetries, using diagnostics of …

The harmonic oscillator is the paragon of physical models; conceptually and computationally
simple, yet rich enough to teach us about physics on scales that span classical mechanics to …

A bstract Defining complexity in quantum field theory is a difficult task, and the main
challenge concerns going beyond free models and associated Gaussian states and …

We show that bosonic and fermionic Gaussian states (also known as" squeezed coherent
states") can be uniquely characterized by their linear complex structure $ J $ which is a …

Computational complexity is a quantum information concept that recently has found
applications in the holographic understanding of the black hole interior. We consider …

A bstract We investigate circuit complexity to characterize chaos in multiparticle quantum
systems. In the process, we take a stride to analyze open quantum systems by using …