Monogamy of quantum entanglement

• URL: http://arxiv.org/abs/2201.00366v3
• Date: Sat, 18 Jun 2022 15:47:44 GMT
• Title: Monogamy of quantum entanglement
• Authors: Xiao-Lan Zong, Hao-Hao Yin, Wei Song, Zhuo-Liang Cao
• Abstract summary: monogamy of entanglement is restricted shareability of entanglement among multi-party systems. We introduce some generalized version of monogamy inequalities which extend and sharpen the traditional ones. We present two new definitions to define monogamy of entanglement.
• Score: 2.7631289602843774
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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