Thilo Scharnhorst

collaborators

3 papers

quant-ph2026

Optimal cloning of mixed states

Marco Fanizza, Dmitry Grinko, Thilo Scharnhorst +1

We consider the problem of approximate cloning of quantum states: given $n$ copies of an unknown state $ρ \in C^{d \times d}$ , prepare an $(n + k)$ -copy state with high fidel…

quant-ph2025

Optimal lower bounds for quantum state tomography

Thilo Scharnhorst, Jack Spilecki, John Wright

We show that $n = Ω (r d / ε^{2})$ copies are necessary to learn a rank $r$ mixed state $ρ \in C^{d \times d}$ up to error $ε$ in trace distance. This matches…

hep-th2025

On the quantum mechanics of entropic forces

Daniel Carney, Manthos Karydas, Thilo Scharnhorst +2

It was conjectured thirty years ago that gravity could arise from the entropic re-arrangement of information. In this paper, we offer a set of microscopic quantum models which real…