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

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) -> infinity), 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.

Automated summary

The quantum deficit, analogous to quantum entanglement, is an important type of quantum correlations that connects quantum thermodynamics and quantum information. We analytically calculate the one-way deficit of the generalized n-qubit Werner state and observe that it increases with the mixing probability p for any n. Additionally, we find that the one-way deficit increases with n for fixed p and attains its maximum value at p = 1. Moreover, we prove that for large n, the curve of one-way deficit versus p approaches a straight line with a slope of 1. Furthermore, we calculate the Holevo quantity for the generalized n-qubit Werner state and show that it is zero.