10 citations · 26 across the 8 of their papers we have counts for
9 papers
Factorization through Lorentz cones
Guillaume Aubrun, Francesca La Piana, Alexander Müller-Hermes
A pair of proper cones is said to have the Lorentz factorization property (LFP) if every -positive map factors through a…
Limit formulas for norms of tensor power operators
Guillaume Aubrun, Alexander Müller-Hermes
Given an operator between Banach spaces, we consider its tensor powers as operators from the -fold injective tensor product of to the -…
On the monotonicity of a quantum optimal transport cost
Alexander Müller-Hermes
We show that the quantum generalization of the -Wasserstein distance proposed by Chakrabarti et al. is not monotone under partial traces. This disproves a recent conjecture by F…
Bi-PPT channels are entanglement breaking
Alexander Müller-Hermes, Satvik Singh
In a recent paper, Hirche and Leditzky introduced the notion of bi-PPT channels which are quantum channels that stay completely positive under composition with a transposition and…
Asymptotic Tensor Powers of Banach Spaces
Guillaume Aubrun, Alexander Müller-Hermes
We study the asymptotic behaviour of large tensor powers of normed spaces and of operators between them. We define the tensor radius of a finite-dimensional normed space as the…
Decomposable Pauli diagonal maps and Tensor Squares of Qubit Maps
Alexander Müller-Hermes
It is a well-known result due to E. Størmer that every positive qubit map is decomposable into a sum of a completely positive map and a completely copositive map. Here, we generali…
Decomposability of Linear Maps under Tensor Products
Alexander Müller-Hermes
Both completely positive and completely copositive maps stay decomposable under tensor powers, i.e under tensoring the linear map with itself. But are there other examples of maps…
Restrictions on the Schmidt rank of bipartite unitary operators beyond dimension two
Alexander Müller-Hermes, Ion Nechita
There are none.
Spectral-Variation Bounds in Hyperbolic Geometry
Oleg Szehr, Alexander Müller-Hermes
We derive new estimates for distances between optimal matchings of eigenvalues of non-normal matrices in terms of the norm of their difference. We introduce and estimate a hyperbol…