2026-06-07T19:00:55Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/44932023-08-26T09:46:46Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Carrasco, José
author
Marmo, Giuseppe
author
Tempesta, Piergiulio
2023-06-16T14:16:42Z
2023-06-16T14:16:42Z
2021-10
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/
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.
eng
New computable entanglement monotones from formal group theory
journal article
URL
https://docta.ucm.es/bitstreams/cc9095dc-b81f-45b8-9462-9fc7ef79cdd0/download
File
MD5
9da781fca7df57387bb0233ec8ebd06e
255017
application/pdf
TempestaP 09 Preprint.pdf