Monogamy and polygamy for the generalized W-class states using unified-(q, s) entropy

Li, Bo; Xie, Bing; Zhang, Zhanjun; Fan, Heng

doi:10.1007/s11433-023-2174-9

Sci. China Phys. Mech. Astron.

2023

DOI: 10.1007/s11433-023-2174-9

|View full text |Cite

Monogamy and polygamy for the generalized W-class states using unified-(q, s) entropy

Bo Li,

Bing Xie,

Zhanjun Zhang

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Bidirectional quantum operation teleportation with two four-qubit cluster states

Yuan,

Liu,

Zhang

2024

Quantum Inf Process

View full text Add to dashboard Cite

Bidirectional quantum operation teleportation with two four-qubit cluster states

Yuan,

Liu,

Zhang

2024

Quantum Inf Process

View full text Add to dashboard Cite

Unified monogamy relations for the generalized W-class states beyond qubits

Shen,

Zhou,

Xuan

et al. 2024

Commun. Theor. Phys.

View full text Add to dashboard Cite

The monogamy of entanglement stands as an indispensable feature within multipartite quantum systems. We study monogamy relations with respect to any partitions for the generalized W-class (GW) states based on the unified-(q, s) entanglement (UE). We provide the monogamy relation based on the squared UE for a reduced density matrix of a qudit GW state, as well as tighter monogamy relations based on the αth (α ≥ 2) power of UE. Furthermore, for an n-qudit system ABC 1...C n−2, a generalized monogamy relation and an upper bound satisfied by the βth (0 ≤ β ≤ 1) power of the UE for the GW states under the partition AB and C 1...C n−2 are established. In particular, two partition-dependent residual entanglements for the GW states are analyzed in detail.

show abstract

Entanglement polygon inequalities for a class of mixed states

Shi 石

2024

Chinese Phys. B

View full text Add to dashboard Cite

The study on the entanglement polygon inequality of multipartite systems has attracted much attention. However, most of the results are on pure states. Here we consider the property for a class of mixed states, which are the reduced density matrices of generalized W-class states in multipartite higher dimensional systems. First we show the class of mixed states satisfies the entanglement polygon inequalities in terms of Tsallis-q entanglement, then we propose a class of tighter inequalities for mixed states in terms of Tsallis-q entanglement. At last, we get an inequality for the mixed states, which can be regarded as a relation for bipartite entanglement.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Monogamy and polygamy for the generalized W-class states using unified-(q, s) entropy

Cited by 3 publications

References 64 publications

Bidirectional quantum operation teleportation with two four-qubit cluster states

Bidirectional quantum operation teleportation with two four-qubit cluster states

Unified monogamy relations for the generalized W-class states beyond qubits

Entanglement polygon inequalities for a class of mixed states

Contact Info

Product

Resources

About