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Thermal States as Convex Combinations of Matrix Product States
Mario Berta, Fernando G. S. L. Brandao, Jutho Haegeman +2
We study thermal states of strongly interacting quantum spin chains and prove that those can be represented in terms of convex combinations of matrix product states. Apart from rev…
On Composite Quantum Hypothesis Testing
Mario Berta, Fernando G. S. L. Brandao, Christoph Hirche
We extend quantum Stein's lemma in asymmetric quantum hypothesis testing to composite null and alternative hypotheses. As our main result, we show that the asymptotic error exponen…
Amortization does not enhance the max-Rains information of a quantum channel
Mario Berta, Mark M. Wilde
Given an entanglement measure , the entanglement of a quantum channel is defined as the largest amount of entanglement that can be generated from the channel, if the sender…
Disentanglement Cost of Quantum States
Mario Berta, Christian Majenz
We show that the minimal rate of noise needed to catalytically erase the entanglement in a bipartite quantum state is given by the regularized relative entropy of entanglement. Thi…