Verification of phased Dicke states

Zihao Li, Yun Guang Han, Hao Feng Sun, Jiangwei Shang, Huangjun Zhu*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

18 引用 (Scopus)

摘要

Dicke states are typical examples of quantum states with genuine multipartite entanglement. They are valuable resources in many quantum information processing tasks, including multiparty quantum communication and quantum metrology. Phased Dicke states are a generalization of Dicke states and include antisymmetric basis states as a special example. These states are useful in atomic and molecular physics besides quantum information processing. Here we propose practical and efficient protocols based on adaptive local projective measurements for verifying all phased Dicke states, including W states and qudit Dicke states. To verify any n-partite phased Dicke state within infidelity ϵ and significance level δ, the number of tests required is only O(nϵ-1lnδ-1), which is linear in n and is exponentially more efficient than traditional tomographic approaches. In the case of W states, the number of tests can be further reduced to O(nϵ-1lnδ-1). Moreover, we construct an optimal protocol for any antisymmetric basis state; the number of tests required decreases (rather than increases) monotonically with n. This is the only optimal protocol known for multipartite nonstabilizer states.

源语言英语
文章编号022601
期刊Physical Review A
103
2
DOI
出版状态已出版 - 2月 2021

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Li, Z., Han, Y. G., Sun, H. F., Shang, J., & Zhu, H. (2021). Verification of phased Dicke states. Physical Review A, 103(2), 文章 022601. https://doi.org/10.1103/PhysRevA.103.022601