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 …
lossy compression, differential privacy and machine learning. In this setting, an encoder …
Discovering common information in multi-view data
We introduce an innovative and mathematically rigorous definition for computing common
information from multi-view data, drawing inspiration from Gács-Körner common information …
information from multi-view data, drawing inspiration from Gács-Körner common information …
Quantum broadcast channel simulation via multipartite convex splitting
We show that the communication cost of quantum broadcast channel simulation under free
entanglement assistance between the sender and the receivers is asymptotically …
entanglement assistance between the sender and the receivers is asymptotically …
Channel simulation: Finite blocklengths and broadcast channels
We study channel simulation under common randomness assistance in the finite-
blocklength regime and identify the smooth channel max-information as a linear program …
blocklength regime and identify the smooth channel max-information as a linear program …
Optimality of meta-converse for channel simulation
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 …
channel using noiseless communication in the one-shot setting. For classical channels, we …
Reexamination of quantum state transformations with zero communication
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 …
error without some classical communication. While some tradeoffs between communication …
One-shot distributed source simulation: As quantum as it can get
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 …
randomness and use local operations and no communication to convert this into some target …
Transfer Learning with Reconstruction Loss
In most applications of utilizing neural networks for mathematical optimization, a dedicated
model is trained for each specific optimization objective. However, in many scenarios …
model is trained for each specific optimization objective. However, in many scenarios …
One-shot bounds on state generation using correlated resources and local encoders
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 …
randomness and use local operations and no communication to convert this into some target …
Common information dimension
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 …
the minimum entropy of a shared random variable that allows for the exact distributive …