title: Local information as a resource in distributed quantum systems.
abstract: A new paradigm for distributed quantum systems where information is a valuable resource is developed. After finding a unique measure for information, we construct a scheme for its manipulation in analogy with entanglement theory. In this scheme, instead of maximally entangled states, two parties distill local states. We show that, surprisingly, the main tools of entanglement theory are general enough to work in this opposite scheme. Up to plausible assumptions, we show that the amount of information that must be lost during the protocol of concentration of local information can be expressed as the relative entropy distance from some special set of states.
authors.affiliation: Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Gdańsk, Poland.
authors.forename: Michał
authors.initials: M
authors.lastname: Horodecki
authors.forename: Karol
authors.initials: K
authors.lastname: Horodecki
authors.forename: Paweł
authors.initials: P
authors.lastname: Horodecki
authors.forename: Ryszard
authors.initials: R
authors.lastname: Horodecki
authors.forename: Jonathan
authors.initials: J
authors.lastname: Oppenheim
authors.forename: Aditi
authors.initials: A
authors.lastname: Sen De
authors.forename: Ujjwal
authors.initials: U
authors.lastname: Sen