Analytic Formulas for Quantum Discord of Special Families of N-Qubit States

Fuente: arXiv
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Main Authors: Zhou, Jianming, Hu, Xiaoli, Zhang, Honglian, Jing, Naihuan
Format: Preprint
Published: 2025
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author Zhou, Jianming
Hu, Xiaoli
Zhang, Honglian
Jing, Naihuan
author_facet Zhou, Jianming
Hu, Xiaoli
Zhang, Honglian
Jing, Naihuan
contents Quantum discord, a key indicator of non-classical correlations in bipartite systems, has been recently extended to multipartite scenarios [Phys. Rev. Lett. 2020, 124:110401]. We present exact analytic formulas for the quantum discord of special families of N-qubit states, including generalized class of GHZ states. Our formulations span $2$, $3$, $4n$, $4n+1$, $4n+2$, and $4n+3$-qubit configurations where $n\in 1, 2, \ldots$, which refine the assessment of quantum correlations and provide an analytical tool in quantum computation. Moreover, we uncover a ``discord freezing'' in even-qubit systems under phase flip decoherence which provides a means for preserving quantum coherence in environmental perturbations.
format Preprint
id arxiv_https___arxiv_org_abs_2502_21010
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Analytic Formulas for Quantum Discord of Special Families of N-Qubit States
Zhou, Jianming
Hu, Xiaoli
Zhang, Honglian
Jing, Naihuan
Quantum Physics
Quantum discord, a key indicator of non-classical correlations in bipartite systems, has been recently extended to multipartite scenarios [Phys. Rev. Lett. 2020, 124:110401]. We present exact analytic formulas for the quantum discord of special families of N-qubit states, including generalized class of GHZ states. Our formulations span $2$, $3$, $4n$, $4n+1$, $4n+2$, and $4n+3$-qubit configurations where $n\in 1, 2, \ldots$, which refine the assessment of quantum correlations and provide an analytical tool in quantum computation. Moreover, we uncover a ``discord freezing'' in even-qubit systems under phase flip decoherence which provides a means for preserving quantum coherence in environmental perturbations.
title Analytic Formulas for Quantum Discord of Special Families of N-Qubit States
topic Quantum Physics
url https://arxiv.org/abs/2502.21010