<p>In this work, we introduce a novel quantum correlation measure based on an affinity-induced quantum coherence framework to explore nonlocal effects arising from local quantum channels. Specifically, we define the correlation as the difference between the global bipartite coherence and the coherence of its marginal states, using quantum affinity as the coherence quantifier. We investigate this measure under the action of various local channels, including unitary operations, Lüders measurements, and weak measurements. Our analysis demonstrates that the proposed measure effectively distinguishes between product states and classical-quantum states, thereby serving as a faithful indicator of nonclassical correlations. Furthermore, we establish connections between the proposed measure and classical uncertainty, as well as quantum parameter estimation via Fisher information. Illustrative examples are provided using well-known two-qubit states to demonstrate the behavior of the correlation under different noisy quantum channels.</p>

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Affinity Coherence-Induced Nonclassical Correlation via Local Channels

  • R. Muthuganesan

摘要

In this work, we introduce a novel quantum correlation measure based on an affinity-induced quantum coherence framework to explore nonlocal effects arising from local quantum channels. Specifically, we define the correlation as the difference between the global bipartite coherence and the coherence of its marginal states, using quantum affinity as the coherence quantifier. We investigate this measure under the action of various local channels, including unitary operations, Lüders measurements, and weak measurements. Our analysis demonstrates that the proposed measure effectively distinguishes between product states and classical-quantum states, thereby serving as a faithful indicator of nonclassical correlations. Furthermore, we establish connections between the proposed measure and classical uncertainty, as well as quantum parameter estimation via Fisher information. Illustrative examples are provided using well-known two-qubit states to demonstrate the behavior of the correlation under different noisy quantum channels.