Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	郭钰教授,内蒙古大学
Inviter:
Title:	Partial-Norm of Entanglement: Entanglement Monotones That are not Monogamous
Language:	Chinese
Time & Venue:	2023.06.06 14:30-14:30 腾讯会议：763-481-231
Abstract:	Quantum entanglement is known to be monogamous, i.e., it obeys strong constraints on how the entanglement can be distributed among multipartite systems. Almost all the entanglement monotones so far are shown to be monogamous. We explore here a family of entanglement monotones with the reduced functions concave but not strictly concave and show that they are not monogamous. They are defined by four kinds of the "partial-norm" of the reduced state, which we call partial-norm of entanglement, minimal partial-norm of entanglement, reinforced minimal partial-norm of entanglement, and partial negativity, respectively. This indicates that, the previous axiomatic definition of entanglement monotone needs supplemental agreement that the reduced function should be strictly concave since such a strict concavity can make sure that the corresponding convex-roof extended entanglement monotone is monogamous.