Relations between the average bipartite entanglement and N-partite correlation functions

Haiqing Huang; Irfan Ahmed; Ahmed Ali; Xin-wei Zha; Raymond Hon-Fu Chan; Yanpeng Zhang

doi:10.1088/1555-6611/ac6e44

Relations between the average bipartite entanglement and N-partite correlation functions

Haiqing Huang
, Irfan Ahmed^*
, Ahmed Ali
, Xin-wei Zha
, Raymond Hon-Fu Chan
, Yanpeng Zhang^*

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Abstract

We study the relations between the average bipartite entanglement and the N-partite length of correlation. We show that the N-partite length of correlation can completely determine the average bipartite entanglement for two and three-qubits. For four-, five- and six-qubit systems, the N-partite correlation functions may not determine the average bipartite entanglement. These results are novel and promising for pure state.

Original language	English
Article number	075201
Journal	Laser Physics
Volume	32
Issue number	7
Online published	20 May 2022
DOIs	https://doi.org/10.1088/1555-6611/ac6e44
Publication status	Published - Jul 2022

Research Keywords

average bipartite entanglement
N-partite correlation functions
maximally multi-qubit entangled state

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AU - Huang, Haiqing

AU - Ahmed, Irfan

AU - Ali, Ahmed

AU - Zha, Xin-wei

AU - Chan, Raymond Hon-Fu

AU - Zhang, Yanpeng

PY - 2022/7

Y1 - 2022/7

N2 - We study the relations between the average bipartite entanglement and the N-partite length of correlation. We show that the N-partite length of correlation can completely determine the average bipartite entanglement for two and three-qubits. For four-, five- and six-qubit systems, the N-partite correlation functions may not determine the average bipartite entanglement. These results are novel and promising for pure state.

AB - We study the relations between the average bipartite entanglement and the N-partite length of correlation. We show that the N-partite length of correlation can completely determine the average bipartite entanglement for two and three-qubits. For four-, five- and six-qubit systems, the N-partite correlation functions may not determine the average bipartite entanglement. These results are novel and promising for pure state.

KW - average bipartite entanglement

KW - N-partite correlation functions

KW - maximally multi-qubit entangled state

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DO - 10.1088/1555-6611/ac6e44

M3 - RGC 21 - Publication in refereed journal

SN - 1054-660X

VL - 32

JO - Laser Physics

JF - Laser Physics

IS - 7

M1 - 075201

ER -

Relations between the average bipartite entanglement and N-partite correlation functions

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Research Keywords

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