Identifying the information gain of a quantum measurement

M Berta, JM Renes, MM Wilde - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
We show that quantum-to-classical channels, ie, quantum measurements, can be
asymptotically simulated by an amount of classical communication equal to the quantum …

Second-order asymptotics for the classical capacity of image-additive quantum channels

M Tomamichel, VYF Tan - Communications in Mathematical Physics, 2015 - Springer
We study non-asymptotic fundamental limits for transmitting classical information over
memoryless quantum channels, ie we investigate the amount of classical information that …

One-shot Marton inner bound for classical-quantum broadcast channel

J Radhakrishnan, P Sen, N Warsi - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
We consider the problem of communication over a classical-quantum broadcast channel
with one sender and two receivers. Generalizing the classical inner bounds shown by …

Pretty good measures in quantum information theory

R Iten, JM Renes, D Sutter - IEEE Transactions on Information …, 2016 - ieeexplore.ieee.org
Quantum generalizations of Rényi's entropies are a useful tool to describe a variety of
operational tasks in quantum information processing. Two families of such generalizations …

One-shot quantum error correction of classical and quantum information

Y Nakata, E Wakakuwa, H Yamasaki - Physical Review A, 2021 - APS
Quantum error correction (QEC) is one of the central concepts in quantum information
science and also has wide applications in fundamental physics. The capacity theorems …

One-shot randomized and nonrandomized partial decoupling

E Wakakuwa, Y Nakata - Communications in Mathematical Physics, 2021 - Springer
We introduce a task that we call partial decoupling, in which a bipartite quantum state is
transformed by a unitary operation on one of the two subsystems and then is subject to the …

Optimal arrangements of classical and quantum states with limited purity

BG Bodmann, EJ King - Journal of the London Mathematical …, 2020 - Wiley Online Library
We consider sets of trace‐normalized non‐negative operators in Hilbert–Schmidt balls that
maximize their mutual Hilbert–Schmidt distance; these are optimal arrangements in the sets …

Quantum-proof randomness extractors via operator space theory

M Berta, O Fawzi, VB Scholz - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Quantum-proof randomness extractors are an important building block for classical and
quantum cryptography as well as device independent randomness amplification and …

Efficient methods for one-shot quantum communication

A Anshu, R Jain - npj Quantum Information, 2022 - nature.com
We address the question of efficient implementation of quantum protocols, with small
communication and entanglement, and short depth circuit for encoding or decoding. We …

Enhanced information exclusion relations

Y **ao, N **g, X Li-Jost - Scientific Reports, 2016 - nature.com
In Hall's reformulation of the uncertainty principle, the entropic uncertainty relation occupies
a core position and provides the first nontrivial bound for the information exclusion principle …