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

Abstract

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 (2ⁿ → ∞), 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.

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