Quantum State Redistribution for Ensemble Sources

Quantum State Redistribution for Ensemble Sources

Seminar author:Zahra Baghali Khanian

Event date and time:11/05/2020 04:15:pm

Event location:GIQ VIRTUAL SEMINAR

Event contact:

We consider a generalization of the quantum state redistribution task, where pure multipartite states from an ensemble source are distributed among 

an encoder, a decoder and a reference system. The encoder, Alice, has access to two quantum systems: system $A$ which she compresses and sends to the decoder, 

Bob, and the side information system $C$ which she wants to keep at her site. Bob has access to quantum side information in a system $B$, wants to decode 

the compressed information in such a way to preserve the correlations with the reference system on average. 

As figures of merit, we consider both block error (which is the usual one in source coding) and per-copy error (which is more akin to rate-distortion theory), 

and find the optimal compression rate for the second criterion, and achievable and converse bounds for the first. The latter almost match in general, up to an 

asymptotic error and an unbounded auxiliary system; for so-called irreducible sources they are provably the same.