Publicaties
Development of a Thermodynamics of Human Cognition and Human Culture Vrije Universiteit Brussel
Inspired by foundational studies in classical and quantum physics, and by information retrieval studies in quantum information theory, we prove that the notions of 'energy' and 'entropy' can be consistently introduced in human language and, more generally, in human culture. More explicitly, if energy is attributed to words according to their frequency of appearance in a text, then the ensuing energy levels are distributed non-classically, ...
Definitions of entwinement Vrije Universiteit Brussel
Bounds on quantum evolution complexity via lattice cryptography Vrije Universiteit Brussel
We address the difference between integrable and chaotic motion in quantum theory as manifested by the complexity of the corresponding evolution operators. Complexity is understood here as the shortest geodesic distance between the time-dependent evolution operator and the origin within the group of unitaries. (An appropriate ‘complexity metric’ must be used that takes into account the relative difficulty of performing ‘nonlocal’ operations ...
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 ...
The Dilemma of Quantum Individuality Beyond Particle Metaphysics Vrije Universiteit Brussel
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 ...