Entanglement as the cross-symmetric part of quantum discord
Quantum Physics
2023-07-31 v1
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.
Keywords
Cite
@article{arxiv.2303.10389,
title = {Entanglement as the cross-symmetric part of quantum discord},
author = {Chunhe Xiong and Sunho Kim and Asutosh Kumar and Zeyu Chen and Minghui Wu and Junde Wu},
journal= {arXiv preprint arXiv:2303.10389},
year = {2023}
}
Comments
9 pages, 1 figure. arXiv admin note: text overlap with arXiv:2012.03835