Entanglement as the cross-symmetric part of quantum discord
arXiv:2303.10389 · doi:10.1016/j.physleta.2023.129030
Abstract
In this paper, we show that the minimal quantum discord over "cross-symmetric" state extensions is an entanglement monotone. In particular, we show that the minimal Bures distance of discord over cross-symmetric extensions is equivalent to the Bures distance of entanglement. At last, we refute a long-held but unstated convention that only contractive distances can be used to construct entanglement monotones by showing that the entanglement quantifier induced by the Hilbert-Schmidt distance, which is not contractive under quantum operations, is also an entanglement monotone.
9 pages, 1 figure. arXiv admin note: text overlap with arXiv:2012.03835
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