73 citations · 211 across the 11 of their papers we have counts for
13 papers
The Schmidt rank for the commuting operator framework
Lauritz van Luijk, René Schwonnek, Alexander Stottmeister +1
In quantum information theory, the Schmidt rank is a fundamental measure for the entanglement dimension of a pure bipartite state. Its natural definition uses the Schmidt decomposi…
An entropic uncertainty principle for mixed states
Antonio F. Rotundo, René Schwonnek
The entropic uncertainty principle in the form proven by Maassen and Uffink yields a fundamental inequality that is prominently used in many places all over the field of quantum in…
Elementary Proof of QAOA Convergence
Lennart Binkowski, Gereon Koßmann, Timo Ziegler +1
The Quantum Alternating Operator Ansatz (QAOA) and its predecessor, the Quantum Approximate Optimization Algorithm, are one of the most widely used quantum algorithms for solving c…
Entanglement detection by violations of noisy uncertainty relations: A proof of principle
Yuan-Yuan Zhao, Guo-Yong Xiang, Xiao-Min Hu +5
It is well-known that the violation of a local uncertainty relation can be used as an indicator for the presence of entanglement. Unfortunately, the practical use of these non-line…
Properties of the Wigner distribution for n arbitrary operators
René Schwonnek, Reinhard F. Werner
We study a generalization of the Wigner function to arbitrary tuples of hermitian operators, which is a distribution uniquely characterized by the property that the marginals for a…
Wigner distributions for n arbitrary observables
René Schwonnek, Reinhard F. Werner
We study a generalization of the Wigner function to arbitrary tuples of hermitian operators. We show that for any collection of hermitian operators A1...An , and any quantum state…