Characterizing Scalable (Quantum) Measeures
January 23rd, 2020 FERNANDO PARISIO Universidade Federal de Pernambuco

The question of how quantities, like entanglement and coherence, depend on the number of copies is addressed. We say that a measure E is scalable if its value for N copies of a certain state can be described by a function of the values this measure takes for some smaller tensorings of the same state.

If analyticity around vanishing resources is assumed, recursive relations can be derived for the Maclaurin series of E for arbitrarily large numbers of copies. We show that the one-shot-distillable (OSD) entanglement is well described as a scalable measure for several families of states. For a particular two-qutrit state, we determine the OSD entanglement of 96 copies, from smaller tensorings, with an accuracy of 97% and no extra computational effort.

Seminar, January 23, 2020, 12:00. ICFO’s Seminar Room

Hosted by Prof. Antonio Acín