Affinity-based geometric discord and quantum speed limits of its creation and decay

• URL: http://arxiv.org/abs/2211.14943v1
• Date: Sun, 27 Nov 2022 21:33:30 GMT
• Title: Affinity-based geometric discord and quantum speed limits of its creation and decay
• Authors: R. Muthuganesan, and S. Balakrishnan
• Abstract summary: We define a faithful quantifiers of bipartite quantum correlation, namely geometric version of quantum discord using affinity based metric. We derive Margolus-Levitin (ML) and Mandelstamm-Tamm (MT) bounds for the quantum speed limit time for the creation and decay of quantum correlation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this article, we define a faithful quantifiers of bipartite quantum correlation, namely geometric version of quantum discord using affinity based metric. It is shown that the newly-minted measure resolves the local ancilla problem of Hilbert-Schmidt measures. Exploiting the notion of affinity-based discord, we derive Margolus-Levitin (ML) and Mandelstamm-Tamm (MT) bounds for the quantum speed limit time for the creation and decay of quantum correlation. The dynamical study suggests that the affinity measure is a better resource compared to entanglement. Finally, we study the role of quantum correlation on quantum speed limit.

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