6 papers
Finite de Finetti for convex bodies and Polynomial Optimization
Julius A. Zeiss, Gereon Koßmann, René Schwonnek +1
Leveraging a recently proposed notion of relative entropy in general probabilistic theories (GPT), we prove a finite de Finetti representation theorem for general convex bodies. We…
A Collection of Pinsker-type Inequalities for Quantum Divergences
Kläre Wienecke, Gereon Koßmann, René Schwonnek
Pinsker's inequality sets a lower bound on the Umegaki divergence of two quantum states in terms of their trace distance. In this work, we formulate corresponding estimates for a v…
Entanglement Detection with Rotationally Covariant Measurements -- From Compton Scattering to Lemonade
Marlene Funck, Ilija Funk, Tizian Schmidt +1
The accurate and efficient detection of quantum entanglement remains a central challenge in quantum information science. In this work, we study the detection of entanglement of pol…
Simultaneous variances of Pauli strings, weighted independence numbers, and a new kind of perfection of graphs
Zhen-Peng Xu, Jie Wang, Qi Ye +3
A set of Pauli stings is well characterized by the graph that encodes its commutatitivity structure, i.e., by its frustration graph. This graph provides a natural interface between…
Specifying the Intrinsic Back-action of a General Measurement
Liang-Liang Sun, Armin Tavakoli, René Schwonnek +3
Understanding the invasive nature of quantum measurement and its implications in quantum foundations and information science demands a mathematically rigorous and physically well-g…
Reliable Entropy Estimation from Observed Statistics for Device-Independent Quantum Cryptography
Gereon Koßmann, René Schwonnek
This paper introduces a numerical framework for establishing lower bounds on the conditional von-Neumann entropy in device-independent quantum cryptography and randomness extractio…