6 papers
Complete Hierarchies for the Geometric Measure of Entanglement
Lisa T. Weinbrenner, Albert Rico, Kenneth Goodenough +2
In quantum physics, multiparticle systems are described by quantum states acting on tensor products of Hilbert spaces. This product structure leads to the distinction between produ…
Entanglement and distillation from symmetric positive maps
Albert Rico
Recently, a toolkit of highly symmetric techniques employing matrix inequalities has been developed to detect entanglement in various ways. Here we unifiedly explain in detail thes…
Quantum Advantage in Identifying the Parity of Permutations with Certainty
Arnau Diebra, Santiago Llorens, David González-Lociga +4
We establish a sharp quantum advantage in determining the parity (even/odd) of an unknown permutation applied to any number of particles. Classically, this is impossible…
Detection of many-body entanglement partitions in a quantum computer
Albert Rico, Dmitry Grinko, Robin Krebs +1
We present a method to detect entanglement partitions of multipartite quantum systems, by exploiting their inherent symmetries. Structures like genuinely multipartite entanglement,…
Measuring multipartite entanglement efficiently by testing symmetries
Xiaoyu Liu, Jordi Tura, Albert Rico
Recently, a technique known as quantum symmetry test has gained increasing attention for detecting bipartite entanglement in pure quantum states. In this work we show that, beyond…
State-witness contraction
Albert Rico
We construct both nonlinear and linear entanglement witnesses, by tensoring and partial tracing existing states and witnesses. We show that little shared quantum resources allow to…