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Quantum Information Processing

Quantum correlation swapping

Chuanmei Xie, Yimin Liu, Hang Xing, Jianlan Chen, Zhanjun Zhang

Published Nov 14, 2014• 23 citations
Publisher
DOI
10.1007/s11128-014-0875-y

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Laser Physics Letters•Jul 1, 2025•1 citation
Abstract The swapping of various quantum correlation measures is addressed including, Bell‐nonlocality, Einstein–Podolsky–Rosen steering, usefulness for teleportation, and entanglement, as well as quantum obesity as a quantum correlation more general than entanglement. The effects that local filtering operations have on the swapping of such correlations are particularly focused. Based on a generalization of entanglement swapping with arbitrary two‐qubit states and arbitrary measurements, analytical formulae for the swapping of two‐qudit as well as multi‐qubit quantum states are derived and the exact amount of quantum obesity that is swapped is provided. Then, in order to enhance the final amount of correlations in the post‐swapping two‐qubit state, the action of local filters before as well as after the swapping protocol is explored. In this regard, it is conjectured that applying local filters first is more efficient. This is supported by an analytical proof on the quantum obesity of almost Bell‐diagonal states, as well as numerical evidence for all the considered quantum correlations of arbitrary X‐form states.
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.