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381137

Pairwise correlations via quantum discord and its geometric measure in a four-qubit spin chain

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Last updated: 31 Dec 2024

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Abstract

The dynamic of pairwise correlations, including quantum entanglement (QE) and discord
(QD) with geometric measure of quantum discord (GMQD), are shown in the four-qubit Heisenberg
XX spin chain. The results show that the effect of the entanglement degree of the initial state on the
pairwise correlations is stronger for alternate qubits than it is for nearest-neighbor qubits. This parameter
results in sudden death for QE, but it cannot do so for QD and GMQD. With different values for
this entanglement parameter of the initial state, QD and GMQD differ and are sensitive for any
change in this parameter. It is found that GMQD is more robust than both QD and QE to describe
correlations with nonzero values, which offers a valuable resource for quantum computation.

DOI

10.1016/j.joems.2012.10.005

Keywords

Pairwise correlations, Quantum discord, Spin chain model

Authors

First Name

Abdel-Baset A.

Last Name

Mohamed

MiddleName

-

Affiliation

Faculty of Science, Assiut University, Assiut 71516, Egypt Al-Aflaj Community College, Salman Bin Abdulaziz University, Saudi Arabia

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Volume

21

Article Issue

1

Related Issue

50461

Issue Date

2013-04-01

Receive Date

2024-09-23

Publish Date

2013-04-01

Page Start

68

Page End

74

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_381137.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381137

Order

381,137

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Pairwise correlations via quantum discord and its geometric measure in a four-qubit spin chain

Details

Type

Article

Created At

21 Dec 2024