1 citations · 1 across the 2 of their papers we have counts for
11 papers
Progress on the Kretschmann-Schlingemann-Werner Conjecture
Frederik vom Ende
Given any pair of quantum channels such that at least one of them has Kraus rank one, as well as any respective Stinespring isometries , we prove that there ex…
Universal bound on the Lyapunov spectrum of quantum master equations
Paolo Muratore-Ginanneschi, Gen Kimura, Frederik vom Ende +1
The spectral properties of positive maps are pivotal for understanding the dynamics of quantum systems interacting with their environment. Furthermore, central problems in quantum…
-Positive Maps: New Characterizations and a Generation Method
Frederik vom Ende, Sumeet Khatri, Sergey Denisov
We study -positive linear maps on matrix algebras and address two problems, (i) characterizations of -positivity and (ii) generation of non-decomposable -positive maps. On…
A universal constraint for relaxation rates for quantum Markov generators: complete positivity and beyond
Dariusz ChruÅciÅski, Frederik vom Ende, Gen Kimura +1
Relaxation rates are key characteristics of quantum processes, as they determine how quickly a quantum system thermalizes, equilibrates, decoheres, and dissipates. While they play…
Simple Sufficient Criteria for Optimality of Entanglement Witnesses
Frederik vom Ende, Simon Cichy
If one wants to establish optimality of a given bipartite entanglement witness, the current standard approach is to check whether it has the spanning property. Although this is not…
Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz ChruÅciÅski, Gen Kimura +1
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity i…