Revision #2 Authors: Joshua Brody, Harry Buhrman, Michal Koucky, Bruno Loff, Florian Speelman, Nikolay Vereshchagin

Accepted on: 1st July 2013 18:00

Downloads: 2395

Keywords:

Newman’s theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in communication complexity. We consider a reversed scenario in the context of information complexity: can we take a protocol that uses private randomness and convert it into one that only uses public randomness while preserving the information revealed to each player?

We prove that the answer is yes, at least for protocols that use a bounded number of rounds. As an application, we prove new direct sum theorems through the compression of interactive communication in the bounded-round setting. Furthermore, we show that if a Reverse Newman’s Theorem can be proven in full generality, then full compression of interactive communication and fully-general direct-sum theorems will result.

Forgot to fix the author list.

Revision #1 Authors: Joshua Brody, Harry Buhrman, Michal Koucky, Bruno Loff, Florian Speelman, Nikolay Vereshchagin

Accepted on: 1st July 2013 17:47

Downloads: 1277

Keywords:

Newman’s theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in communication complexity. We consider a reversed scenario in the context of information complexity: can we take a protocol that uses private randomness and convert it into one that only uses public randomness while preserving the information revealed to each player?

We prove that the answer is yes, at least for protocols that use a bounded number of rounds. As an application, we prove new direct sum theorems through the compression of interactive communication in the bounded-round setting. Furthermore, we show that if a Reverse Newman’s Theorem can be proven in full generality, then full compression of interactive communication and fully-general direct-sum theorems will result.

Paper is now full journal version. Numerous fixes, improvements and additions.

TR12-179 Authors: Joshua Brody, Harry Buhrman, Michal Koucky, Bruno Loff, Florian Speelman

Publication: 21st December 2012 14:25

Downloads: 3565

Keywords:

Newman’s theorem states that we can take any public-coin communication protocol and convert it into one that uses only private randomness with only a little increase in communication complexity. We consider a reversed scenario in the context of information complexity: can we take a protocol that uses private randomness and convert it into one that only uses public randomness while preserving the information revealed to each player?

We prove that the answer is yes, at least for protocols that use a bounded number of rounds. As an application, we prove new direct sum theorems through the compression of interactive communication in the bounded-round setting. Furthermore, we show that if a Reverse Newman’s Theorem can be proven in full generality, then full compression of interactive communication and fully-general direct-sum theorems will result.