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arXiv · 2411.03422

Signals of multiparty entanglement and holography

Vijay Balasubramanian·Monica Jinwoo Kang·Chitraang Murdia·Simon F. Ross
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Abstract

We study multiparty entanglement signals, which are functions of a quantum state that are non-zero only when the state has multiparty entanglement. We consider known signals of three- and four-party entanglement, and propose new signals for four- and higher-party entanglement. We make some remarks on their general properties, but mainly focus on using holographic states in AdS$_3/$CFT$_2$ as a test case to explore their properties. For both the AdS vacuum and multiboundary wormhole states, we find that the multiparty entanglement signals are generically non-zero and of order one in units of the central charge of the dual CFT, revealing substantial multiparty entanglement. In the large-horizon limit of multiboundary wormhole states, however, the signals for three or more parties become small indicating the short-range nature of entanglement.

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Vijay Balasubramanian, Monica Jinwoo Kang, Chitraang Murdia, Simon F. Ross. 2024-11-05. Signals of multiparty entanglement and holography. https://arxiv.org/abs/2411.03422

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