Channel simulation: Theory and applications to lossy compression and differential privacy

CT Li - Foundations and Trends® in Communications and …, 2024 - nowpublishers.com
One-shot channel simulation (or channel synthesis) has seen increasing applications in
lossy compression, differential privacy and machine learning. In this setting, an encoder …

Discovering common information in multi-view data

Q Zhang, M Lu, S Yu, J **n, B Chen - Information Fusion, 2024 - Elsevier
We introduce an innovative and mathematically rigorous definition for computing common
information from multi-view data, drawing inspiration from Gács-Körner common information …

Quantum broadcast channel simulation via multipartite convex splitting

HC Cheng, L Gao, M Berta - arxiv preprint arxiv:2304.12056, 2023 - arxiv.org
We show that the communication cost of quantum broadcast channel simulation under free
entanglement assistance between the sender and the receivers is asymptotically …

Channel simulation: Finite blocklengths and broadcast channels

MX Cao, N Ramakrishnan, M Berta… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
We study channel simulation under common randomness assistance in the finite-
blocklength regime and identify the smooth channel max-information as a linear program …

Optimality of meta-converse for channel simulation

M Berta, O Fawzi, A Oufkir - 2024 IEEE International …, 2024 - ieeexplore.ieee.org
We study the effect of shared non-signaling correlations for the problem of simulating a
channel using noiseless communication in the one-shot setting. For classical channels, we …

Reexamination of quantum state transformations with zero communication

I George, E Chitambar - Physical Review A, 2024 - APS
It is known that general convertibility of bipartite entangled states is not possible to arbitrary
error without some classical communication. While some tradeoffs between communication …

One-shot distributed source simulation: As quantum as it can get

I George, MH Hsieh, E Chitambar - arxiv preprint arxiv:2301.04301, 2023 - arxiv.org
Distributed source simulation is the task where two (or more) parties share some correlated
randomness and use local operations and no communication to convert this into some target …

Transfer Learning with Reconstruction Loss

W Cui, W Yu - IEEE Transactions on Machine Learning in …, 2024 - ieeexplore.ieee.org
In most applications of utilizing neural networks for mathematical optimization, a dedicated
model is trained for each specific optimization objective. However, in many scenarios …

One-shot bounds on state generation using correlated resources and local encoders

I George, MH Hsieh, E Chitambar - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
Distributed source simulation is the task where two (or more) parties share some correlated
randomness and use local operations and no communication to convert this into some target …

Common information dimension

OA Hanna, X Li, S Diggavi… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
The exact common information between a set of random variables X 1,…, X n is defined as
the minimum entropy of a shared random variable that allows for the exact distributive …