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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

One-Way Deficit and Holevo Quantity of Generalized n-qubit Werner State

Yao-Kun Wang, Rui-Xin Chen, Li-Zhu Ge, Shao-Ming Fei and Zhi-Xi Wang


Originated from the work extraction in quantum systems coupled to a heat bath, quantum deficit is a kind of significant quantum correlations like quantum entanglement. It links quantum thermodynamics with quantum information. We analytically calculate the one-way deficit of the generalized $n$-qubit Werner state. We find that the one-way deficit increases as the mixing probability $p$ increases for any $n$. For fixed $p$, we observe that the one-way deficit increases as $n$ increases. For any $n$, the maximum of one-way deficit is attained at $p=1$. Furthermore, for large $n$ ($2^n \rightarrow \infty$), we prove that the curve of one-way deficit versus $p$ approaches to a straight line with slope $1$. We also calculate the Holevo quantity for the generalized $n$-qubit Werner state, and show that it is zero.


Related publications

2023 Repository Open Access
Yao-Kun Wang, Rui-Xin Chen, Li-Zhu Ge, Shao-Ming Fei and Zhi-Xi Wang

One-way deficit and Holevo quantity of generalized n-qubit Werner state

In: Quantum information processing, 22 (2023) 5, p. 204