18 papers
Optimal strategies for shadow tomography with limited resources
Zhen-Peng Xu, Qi Ye, Jie Wang +3
Shadow tomography addresses the task of efficiently predicting many expectation values of an unknown quantum state from randomized measurements on comparatively few copies. Existin…
Sharp continuity of quantum conditional entropy
Mario Berta, Pablo Costa Rico, Gereon Kossmann +2
We prove the sharp uniform continuity bound for quantum conditional entropy. If two bipartite states are at trace distance at most and , the optimal dimension-only m…
Fixed points in de Finetti hierarchies
Gereon Kossmann, Julius A. Zeiss
De Finetti theorems convert permutation symmetry into approximate mixtures of product states and thereby justify a wide range of reductions in classical and quantum statistics. In…
Device-independent Quantum Key Distribution in the commuting operator framework
Gereon KoÃmann, René Schwonnek, Po-Chieh Liu +1
Device-independent quantum key distribution (DIQKD) is arguably the gold standard for secure quantum communication, as it aims to rely only on observed input-output statistics of a…
Symmetry-based quantum algorithms for open-shop scheduling with hard constraints
Lennart Binkowski, Gereon KoÃmann, Christian Tutschku +1
Encoding hard-constrained optimization problems into a variational quantum algorithm often turns out to be a challenging task. In this work, we provide a solution for the class of…
Device independent quantum key distribution with robust self-tests
Andreas Bluhm, Gereon KoÃmann, René Schwonnek
Device-independent quantum key distribution (DIQKD) provides a model of quantum key distribution with minimal assumptions and highly abstract theoretical building blocks. Although…