Title: A generalized quantum Slepian-Wolf,
Abstract: In this work we consider a quantum generalization of the task considered by
Slepian and Wolf [1973] regarding distributed source compression. In our task
Alice, Bob, Charlie and Reference share a joint pure state. Alice and Bob wish
to send a part of their respective systems to Charlie without collaborating
with each other. We give achievability bounds for this task in the one-shot
setting and provide the asymptotic and i.i.d. analysis in the case when there
is no side information with Charlie.
Our result implies the result of Abeyesinghe, Devetak, Hayden and Winter
[2009] who studied a special case of this problem. As another special case
wherein Bob holds trivial registers, we recover the result of Devetak and Yard
[2008] regarding quantum state redistribution.