# Publicaties

## Bounds on quantum evolution complexity via lattice cryptography Vrije Universiteit Brussel

## Quantum chaos and the complexity of spread of states Vrije Universiteit Brussel

## Submerging islands through thermalization Vrije Universiteit Brussel

## Complexity Growth in Integrable and Chaotic Models Vrije Universiteit Brussel

## Violation of CHSH inequality and marginal laws in mixed sequential measurements with order effects Vrije Universiteit Brussel

We model a typical Bell-test experimental situation by considering that Alice and Bob perform incompatible measurements in a sequential way, with mixed orders of execution. After emphasizing that order effects will generally produce a violation of the marginal laws, we derive an upper limit for the observed correlations. More precisely, when Alice’s and Bob’s measurements are compatible, the marginal laws are obeyed and Tsirelson’s bound ...

## Chaos in the butterfly cone Vrije Universiteit Brussel

A simple probe of chaos and operator growth in many-body quantum systems is the out of time ordered four point function. In a large class of local systems, the effects of chaos in this correlator build up exponentially fast inside the so called butterfly cone. It has been previously observed that the growth of these effects is organized along rays and can be characterized by a velocity dependent Lyapunov exponent, λ(v). We show that this ...

## Quantum Complexity of Time Evolution with Chaotic Hamiltonians Vrije Universiteit Brussel

We study the quantum complexity of time evolution in large-N chaotic systems, with the SYK model as our main example. This complexity is expected to increase linearly for exponential time prior to saturating at its maximum value, and is related to the length of minimal geodesics on the manifold of unitary operators that act on Hilbert space. Using the Euler-Arnold formalism, we demonstrate that there is always a geodesic between the identity ...