27 citations · 68 across the 12 of their papers we have counts for
15 papers
Conditioning on Subalgebras - Entropy Duality and Generalized Quantum Stein's Lemma in von Neumann Algebras
Bjarne Bergh, Li Gao, Mizanur Rahaman
We establish duality relations for conditional entropies relative to subalgebras of arbitrary von Neumann algebras, including the Umegaki relative entropy as well as the sandwiched…
Robust classical and quantum communication over almost-iid channels
Liuhang Ye, Bjarne Bergh, Nilanjana Datta
The independent and identically distributed (iid) paradigm for asymptotic communication through quantum channels describes uses of a channel by . Since exact…
Quantum de Finetti theorems for states and channels in any distance measure
Liuhang Ye, Bjarne Bergh, Nilanjana Datta
Standard finite quantum de Finetti theorems approximate the -system marginals of permutation-invariant states of -systems by mixtures of independent and identically distribut…
Onset of superactivation of quantum capacity
Marco Parentin, Bjarne Bergh, Nilanjana Datta +1
Superactivation of quantum capacity is the phenomenon whereby two quantum channels, each with zero quantum capacity, can exhibit a strictly positive capacity when used in tandem. I…
Permutation Invariant Optimization Problems in Quantum Information Theory: A Framework for Channel Fidelity and Beyond
Bjarne Bergh, Marco Parentin
Exploiting permutation invariance to reduce the exponential scaling of semidefinite programs in quantum information has emerged as a powerful computational technique. In this work,…
Strong converse bounds on the classical identification capacity of the qubit depolarizing channel
Liuhang Ye, Bjarne Bergh, Nilanjana Datta
A strong converse bound for the classical identification capacity of a quantum channel is an upper bound on the asymptotic identification rate of classical messages sent through th…
Generalized Quantum Stein's Lemma and Reversibility of Quantum Resource Theories for Classical-Quantum Channels
Bjarne Bergh, Nilanjana Datta, Anirudh Khaitan
We extend the recent proof of the Generalized Quantum Stein's Lemma by Hayashi and Yamasaki [arXiv:2408.02722] to classical-quantum (c-q) channels. We analyze the composite hypothe…
Continuity bounds for quantum entropies arising from a fundamental entropic inequality
Koenraad Audenaert, Bjarne Bergh, Nilanjana Datta +3
We establish a tight upper bound for the difference in von Neumann entropies between two quantum states, and . This bound is expressed in terms of the von Neumann entrop…
Robustness of Fixed Points of Quantum Channels and Application to Approximate Quantum Markov Chains
Robert Salzmann, Bjarne Bergh, Nilanjana Datta
Given a quantum channel and a state which satisfy a fixed point equation approximately (say, up to an error ), can one find a new channel and a state, which are respec…
Infinite Dimensional Asymmetric Quantum Channel Discrimination
Bjarne Bergh, Jan Kochanowski, Robert Salzmann +1
We study asymmetric binary channel discrimination, for qantum channels acting on separable Hilbert spaces. We establish quantum Stein's lemma for channels for both adaptive and par…
Composite Classical and Quantum Channel Discrimination
Bjarne Bergh, Nilanjana Datta, Robert Salzmann
We study the problem of binary composite channel discrimination in the asymmetric setting, where the hypotheses are given by fairly arbitrary sets of channels, and samples do not h…
Parallelization of Adaptive Quantum Channel Discrimination in the Non-Asymptotic Regime
Bjarne Bergh, Nilanjana Datta, Robert Salzmann +1
We investigate the performance of parallel and adaptive quantum channel discrimination strategies for a finite number of channel uses. It has recently been shown that, in the asymm…
The Limit of the Sharp Quantum Rényi Divergence
Bjarne Bergh, Robert Salzmann, Nilanjana Datta
Fawzi and Fawzi recently defined the sharp Rényi divergence, , for , as an additional quantum Rényi divergence with nice mathematical properties and appli…
Entanglement detection in quantum many-body systems using entropic uncertainty relations
Bjarne Bergh, Martin Gärttner
We study experimentally accessible lower bounds on entanglement measures based on entropic uncertainty relations. Experimentally quantifying entanglement is highly desired for appl…
Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
Bjarne Bergh, Martin Gärttner
Entanglement is not only the resource that fuels many quantum technologies but also plays a key role for some of the most profound open questions of fundamental physics. Experiment…