2019 EJRNL PP ZI-WEN LIU 1.pdf?
Terbatas Ratnasari
» ITB
Terbatas Ratnasari
» ITB
A fundamental approach for the characterization and quantification of all kinds of resources is to study
the conversion between different resource objects under certain constraints. Here we analyze, from a
resource-nonspecific standpoint, the optimal efficiency of resource formation and distillation tasks with
only a single copy of the given quantum state, thereby establishing a unified framework of one-shot
quantum resource manipulation. We find general bounds on the optimal rates characterized by resource
measures based on the smooth max- or min-relative entropies and hypothesis testing relative entropy, as
well as the free robustness measure, providing them with general operational meanings in terms of optimal
state conversion. Our results encompass a wide class of resource theories via the theory-dependent
coefficients we introduce, and the discussions are solidified by important examples, such as entanglement,
coherence, superposition, magic states, asymmetry, and thermal nonequilibrium.