The entanglement criteria based on equiangular tight frames
Xian Shi
Abstract
Abstract Finite tight frames play an important role in miscellaneous areas, including quantum information theory. Here we apply a class of tight frames, equiangular tight frames, to address the problem of detecting the entanglement of bipartite states. Here we derive some entanglement criteria based on positive operator-valued measurements built from equiangular tight frames. We also present a class of entanglement witnesses based on the equiangular tight frames. At last, we generalize the entanglement criterion for bipartite systems to multipartite systems.
Topics & Concepts
Quantum entanglementEquiangular polygonBipartite graphMathematicsMultipartiteClass (philosophy)Multipartite entanglementDiscrete mathematicsCombinatoricsQuantumSquashed entanglementQuantum mechanicsComputer sciencePhysicsGeometryRegular polygonGraphArtificial intelligenceMathematical Analysis and Transform Methods