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Abstract

As a crucial quantum resource for quantum computing and quantum information processing, cluster state has attracted extensive attention due to its unique entanglement properties and rich structures. In this work, we theoretically propose a scheme for generating four-mode entangled states based on cascaded four-wave mixing (FWM) process. The internal entanglement characteristics are studied by using the positivity under partial transposition criterion and eigenmode decomposition. In addition, the output entangled states are reconstructed and optimized by adjusting the relative phase of balanced homodyne detection and postprocessing the signal noise, and finally three four-mode cluster states with different structures are generated. Such a method can effectively reduce the excess noise induced by finite squeezing. Our theoretical results provide a reliable way of generating scalable continuous variable cluster states based on FWM process in atomic ensemble.

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Authors and contacts

Corresponding author:Zhang Kai,kzhang@lps.ecnu.edu.cn; Jing Jie-Tai,jtjing@phy.ecnu.edu.cn; Liu Wu-Ming,wliu@iphy.ac.cn

Funds:Project supported by the Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 2021-01-07-00-08-E00100), the National Natural Science Foundation of China (Grant Nos. 11874155, 91436211, 11374104, 12174110), the Basic Research Project of Shanghai Science and Technology Commission, China (Grant No. 20JC1416100), the Natural Science Foundation of Shanghai, China (Grant No. 17ZR1442900), the Minhang Leading Talents, China (Grant No. 201971), the Program of Science and Technology Innovation of Shanghai, China (Grant No. 17JC1400401), the Shanghai Young Science and Technology Sailing Program, China (Grant No. 21YF1410800), the National Basic Research Program of China (Grant No. 2016YFA0302103), the Shanghai Municipal Science and Technology Major Project, China (Grant No. 2019SHZDZX01), the 111 Project (Grant No. B12024), and the China Postdoctoral Science Foundation (Grant No. 2020M681224).

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Cited By

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强度增益	Nullifier 1	Nullifier 2	Nullifier 3	Nullifier 4
$ {G}_{1}={G}_{2}={G}_{3}=1.2 $	0.59	0.62	0.59	0.69
$ {G}_{1}={G}_{2}={G}_{3}=1.5 $	0.68	0.56	0.48	0.49
$ {G}_{1}={G}_{2}={G}_{3}=1.8 $	0.51	0.52	0.47	0.34
$ {G}_{1}={G}_{2}={G}_{3}=3 $	0.59	2.14	0.68	5.6

DownLoad: CSV

强度增益	Nullifier 1	Nullifier 2	Nullifier 3	Nullifier 4
$ {G}_{1}={G}_{2}={G}_{3}=1.2 $	0.47	0.37	0.51	0.47
$ {G}_{1}={G}_{2}={G}_{3}=1.5 $	0.36	0.26	0.4	0.4
$ {G}_{1}={G}_{2}={G}_{3}=1.8 $	0.34	0.21	0.34	0.38
$ {G}_{1}={G}_{2}={G}_{3}=3 $	2.63	0.56	0.56	3.79

DownLoad: CSV

强度增益	Nullifier 1	Nullifier 2	Nullifier 3	Nullifier 4
$ {G}_{1}={G}_{2}={G}_{3}=1.2 $	0.36	0.54	0.36	0.34
$ {G}_{1}={G}_{2}={G}_{3}=1.5 $	0.24	0.31	0.24	0.38
$ {G}_{1}={G}_{2}={G}_{3}=1.8 $	0.58	0.20	0.38	0.64
$ {G}_{1}={G}_{2}={G}_{3}=3 $	0.87	0.51	4.67	4.38

DownLoad: CSV

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Vol. 71, Issue 16 - 2022-08-20

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