202 citations · 278 across the 13 of their papers we have counts for
14 papers
Entanglement and output entropy of the diagonal map
Meik Hellmund
We review some properties of the convex roof extension, a construction used, e.g., in the definition of the entanglement of formation. Especially we consider the use of symmetries…
Concurrence and Entanglement Entropy of Stochastic 1-Qubit Maps
Meik Hellmund, Armin Uhlmann
Explicit expressions for the concurrence of all positive and trace-preserving ("stochastic") 1-qubit maps are presented. We construct the relevant convex roof patterns by a new met…
An Entropy Inequality
Meik Hellmund, Armin Uhlmann
Let be the von Neumann entropy of an -dimensional quantum state and the second elementary symmetric polynomial of the eigenvalues of . We pr…
Concurrence of Stochastic 1-Qubit Maps
Meik Hellmund, Armin Uhlmann
Explicit expressions for the concurrence of all positive and trace-preserving ("stochastic") 1-qubit maps are presented. By a new method we find the relevant convex roof pattern. W…
High-temperature series expansions for the -state Potts model on a hypercubic lattice and critical properties of percolation
Meik Hellmund, Wolfhard Janke
We present results for the high-temperature series expansions of the susceptibility and free energy of the -state Potts model on a -dimensional hypercubic lattice $\mathbb{Z}…
High-temperature series for the bond-diluted Ising model in 3, 4 and 5 dimensions
Meik Hellmund, Wolfhard Janke
In order to study the influence of quenched disorder on second-order phase transitions, high-temperature series expansions of the \sus and the free energy are obtained for the quen…