Entanglement as the cross-symmetric part of quantum discord

• URL: http://arxiv.org/abs/2303.10389v1
• Date: Sat, 18 Mar 2023 10:52:47 GMT
• Title: Entanglement as the cross-symmetric part of quantum discord
• Authors: Chunhe Xiong, Sunho Kim, Asutosh Kumar, Zeyu Chen, Minghui Wu, and Junde Wu
• Abstract summary: We show that the minimal quantum discord over "cross-symmetric" state extensions is an entanglement monotone. We refute a long-held but unstated convention that only contractive distances can be used to construct entanglement monotones.
• Score: 5.3767146415052585
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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.

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