Monogamy of quantum entanglement

Abstract

Unlike classical correlation, quantum entanglement cannot be freely shared among many parties. This restricted shareability of entanglement among multi-party systems is known as monogamy of entanglement, which is one of the most fundamental properties of entanglement. Here, we summarize recent theoretical progress in the field of monogamy of entanglement. We firstly review the standard CKW-type monogamy inequalities in terms of various entanglement measures. In particular, the squashed entanglement and one-way distillable entanglement are monogamous for arbitrary dimensional systems. We then introduce some generalized version of monogamy inequalities which extend and sharpen the traditional ones. We also consider the dual polygamy inequalities for multi-party systems. Moreover, we present two new definitions to define monogamy of entanglement. Finally, some challenges and future directions for monogamy of entanglement are highlighted.

arXiv comment8 pages,1 figure,a short review

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• On monogamy and polygamy relations of multipartite systems
• Monogamy-of-entanglement-inspired protocol to quantify bipartite entanglement using spin squeezing
• Virtual excitations and entanglement dynamics and polygamy in three ultra-strongly coupled systems
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Entanglement measures for multipartite quantum systems:limitations and new approaches