期刊
PHYSICAL REVIEW A
卷 98, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.98.052317
关键词
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资金
- German Research Foundation [EL710/2-1]
- Swiss National Science Foundation [165024]
- ERC Consolidator Grant [683107/TempoQ]
- Basque Government [IT986-16]
- MINECO/FEDER/UE [FIS2015-67161-P]
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.
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