4 papers
The asymptotic spectrum of LOCC transformations
Asger Kjærulff Jensen, Péter Vrana
We study exact, non-deterministic conversion of multipartite pure quantum states into one-another via local operations and classical communication (LOCC) and asymptotic entanglemen…
Asymptotic majorization of finite probability distributions
Asger Kjærulff Jensen
This paper studies majorization of high tensor powers of finitely supported probability distributions. Viewing probability distributions as a resource with majorization as a means…
Border rank is not multiplicative under the tensor product
Matthias Christandl, Fulvio Gesmundo, Asger Kjærulff Jensen
It has recently been shown that the tensor rank can be strictly submultiplicative under the tensor product, where the tensor product of two tensors is a tensor whose order is the s…
Tensor rank is not multiplicative under the tensor product
Matthias Christandl, Asger Kjærulff Jensen, Jeroen Zuiddam
The tensor rank of a tensor t is the smallest number r such that t can be decomposed as a sum of r simple tensors. Let s be a k-tensor and let t be an l-tensor. The tensor product…