@inproceedings{8ab06cf17f01457dbd020d133ce66b52,
title = "Public vs private coin in bounded-round information",
abstract = "We precisely characterize the role of private randomness in the ability of Alice to send a message to Bob while minimizing the amount of information revealed to him. We give an example of a (randomized) message which can be transmitted while revealing only I bits of information using private randomness, but requires Alice to reveal I + logI - O(1) bits of information if only public coins are allowed. This gives the first example of an ω(1) additive separation between these two models. Our example also shows that the one-round compression construction of Harsha et al. [HJMR07] cannot be improved. Moreover, we show that our example is tight up to an additive O(1) factor: We show that if using private randomness a message can be transmitted while revealing I bits of information, the transmission can be simulated without private coins using I + logI + O(1) bits of information. This improves over an earlier result by Brody et al. [BBK+12].",
author = "Mark Braverman and Ankit Garg",
year = "2014",
doi = "10.1007/978-3-662-43948-7\_42",
language = "English (US)",
isbn = "9783662439470",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
number = "PART 1",
pages = "502--513",
booktitle = "Automata, Languages, and Programming - 41st International Colloquium, ICALP 2014, Proceedings",
address = "Germany",
edition = "PART 1",
note = "41st International Colloquium on Automata, Languages, and Programming, ICALP 2014 ; Conference date: 08-07-2014 Through 11-07-2014",
}