2026-06-07T23:47:07Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/44932023-08-26T09:46:46Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Carrasco, José author Marmo, Giuseppe author Tempesta, Piergiulio author 2021-10 We present a mathematical construction of new quantum information measures that generalize the notion of logarithmic negativity. Our approach is based on formal group theory. We shall prove that this family of generalized negativity functions, due their algebraic properties, is suitable for studying entanglement in many-body systems. Under mild hypotheses, the new measures are computable entanglement monotones. Also, they are composable: their evaluation over tensor products can be entirely computed in terms of the evaluations over each factor, by means of a specific group law. In principle, they might be useful to study separability and (in a future perspective) criticality of mixed states, complementing the role of Renyi's entanglement entropy in the discrimination of conformal sectors for pure states. 1570-0755 10.1007/s11128-021-03249-z https://hdl.handle.net/20.500.14352/4493 http://dx.doi.org/10.1007/s11128-021-03249-z https://link.springer.com/ New computable entanglement monotones from formal group theory