Comparison of quantum channels by superchannels

G Gour - IEEE Transactions on Information Theory, 2019 - ieeexplore.ieee.org
We extend the definition of the conditional min-entropy from bipartite quantum states to
bipartite quantum channels. We show that many of the properties of the conditional min …

Amortized channel divergence for asymptotic quantum channel discrimination

MM Wilde, M Berta, C Hirche, E Kaur - Letters in Mathematical Physics, 2020 - Springer
It is well known that for the discrimination of classical and quantum channels in the finite,
non-asymptotic regime, adaptive strategies can give an advantage over non-adaptive …

Chain rule for the quantum relative entropy

K Fang, O Fawzi, R Renner, D Sutter - Physical review letters, 2020 - APS
The chain rule for the classical relative entropy ensures that the relative entropy between
probability distributions on multipartite systems can be decomposed into a sum of relative …

Usefulness of adaptive strategies in asymptotic quantum channel discrimination

F Salek, M Hayashi, A Winter - Physical Review A, 2022 - APS
Adaptiveness is a key principle in information processing including statistics and machine
learning. We investigate the usefulness adaptive methods in the framework of asymptotic …

Exact quantum sensing limits for bosonic dephasing channels

Z Huang, L Lami, MM Wilde - PRX Quantum, 2024 - APS
Dephasing is a prominent noise mechanism that afflicts quantum information carriers, and it
is one of the main challenges toward realizing useful quantum computation, communication …

Quantum channel discrimination without entanglement

J ur Rehman, A Farooq, Y Jeong, H Shin - Quantum Information …, 2018 - Springer
We address the problem of unambiguous discrimination of quantum channels (UDQC)
without entanglement. As our main result, we show that even in the absence of …

Profitable entanglement for channel discrimination

SK Oskouei, S Mancini, M Rexiti - Proceedings of the …, 2023 - royalsocietypublishing.org
We investigate the usefulness of side entanglement in discriminating between two generic
qubit channels, up to unitary pre-and post-processing, and determine exact conditions under …

Characterising memory in quantum channel discrimination via constrained separability problems

TA Ohst, S Zhang, HC Nguyen, M Plávala… - arXiv preprint arXiv …, 2024 - arxiv.org
Quantum memories are a crucial precondition in many protocols for processing quantum
information. A fundamental problem that illustrates this statement is given by the task of …

Completely bounded norms of kk‐positive maps

G Aubrun, KR Davidson… - Journal of the …, 2024 - Wiley Online Library
Given an operator system SS, we define the parameters rk (S) r_k(S) (resp. dk (S) d_k(S))
defined as the maximal value of the completely bounded norm of a unital kk‐positive map …

Optimal quantum discrimination of single-qubit unitary gates between two candidates

A Soeda, A Shimbo, M Murao - Physical Review A, 2021 - APS
We analyze a discrimination problem of a single-qubit unitary gate with two candidates,
where the candidates are not provided with their classical description, but their quantum …