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Entropy

Quantum Correlation Swapping between Two Werner States Undergoing Local and Nonlocal Unitary Operations

Chuanmei Xie, Zhanjun Zhang, Jianlan Chen, Xiaofeng Yin

Published Sep 4, 2022• 1 citation
Publisher

Abstract

In this paper, quantum correlation (QC) swapping between two Werner-like states, which are transformed from Werner states undergoing local and nonlocal unitary operations, are studied. Bell states measures are performed in the middle node to realize the QC swapping and correspondingly final correlated sates are obtained. Two different QC quantifiers, i.e., measurement-induced disturbance (MID) and ameliorated MID, are employed to characterize and quantify all the concerned QCs in the swapping process. All QCs in the concerned states are evaluated analytically and numerically. Correspondingly, their characteristics and properties are exposed in detail. It is exposed that, through the QC swapping process, one can obtain the long-distance QC indeed. Moreover, the similarities of monotony features of MID and AMID between the initial states and final states are exposed and analyzed.

DOI
10.3390/e24091244

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Abstract Quantum correlation (QC) swapping is a generalization of quantum entanglement swapping, in which the concerned QCs can be quantum entanglement, QC beyond quantum entanglement, or both of them. In general, QC swapping is different from quantum entanglement swapping. Obviously, the study range of the former is beyond than the latter, and the former can give more interesting and significant applications in quantum information processings. So far, QC swapping has been studied explicitly only for a rather limited set of two-qubit quantum states as the initial states and cases for more general QC swapping with multi-parameter initial states are not known. In this article, we explore the QC swapping case with three-parameter Bell-diagonal (BD) states as the initial states. The familiar QC measure, quantum discord (Ollivier and Zurek 2001 Phys. Rev. Lett. 88 017901), is utilized to quantify all the QCs in the concerned states. It is found that a long-distance shared QC can be acquired through the BD-initial states case of QC swapping. Moreover, some distinct features and characteristics can be exposed.
Abstract In this paper, the quantum correlation (QC) swapping between two X states is studied. According to different parameter distributions in X states, three types of X states for QC swapping are respectively analysed. Two QC quantifiers, quantum discord and entanglement, are utilized. Moreover, in order to compare, classical correlation is also concerned. The characteristics and thresholds in all the concerned correlations appearing in the swapping process are revealed and explained. It is found that, corresponding to some types of X states, the varing features and size ordering among the concerned correlations before and after swapping process are invariant. In particular, with two special parameter-distribution X states as initial states, the swapping process cannot change the size ordering relationships among the concerned correlations.