Eltschka, Christopher and Huber, Felix and Guehne, Otfried and Siewert, Jens (2018) Exponentially many entanglement and correlation constraints for multipartite quantum states. PHYSICAL REVIEW A, 98 (5): 052317. ISSN 2469-9926, 2469-9934
Full text not available from this repository.Abstract
We present a family of correlation constraints that apply to all multipartite quantum systems of finite dimension. The size of this family is exponential in the number of subsystems. We obtain these relations by defining and investigating the generalized state inversion map. This map provides a systematic way to obtain local unitary invariants of degree two in the state and is directly linked to the shadow inequalities proved by Rains [IEEE Trans. Theory 46, 54 (2000)]. The constraints are stated in terms of linear inequalities for the linear entropies of the subsystems. For pure quantum states they turn into monogamy relations that constrain the distribution of bipartite entanglement among the subsystems of the global state.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SELF-DUAL CODES; WEIGHT ENUMERATORS; MONOGAMY; ENTROPY; CRITERION; MAPS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 10 Oct 2019 05:59 |
| Last Modified: | 10 Oct 2019 05:59 |
| URI: | https://pred.uni-regensburg.de/id/eprint/13541 |
Actions (login required)
 |
View Item |
