The asymptotic spectrum of LOCC transformations

Understand

We study exact, non-deterministic conversion of multipartite pure quantum states into one-another via local operations and classical communication (LOCC) and asymptotic entanglement transformation under such channels.

• In particular, we consider the maximal number of copies of any given target state that can be extracted exactly from many copies of any given initial state as a function of the exponential decay in success probability, known as the converese error exponent.
• We give a formula for the optimal rate presented as an infimum over the asymptotic spectrum of LOCC conversion.
• A full understanding of exact asymptotic extraction rates between pure states in the converse regime thus depends on a full understanding of this spectrum.