Averaging quantum correlations over mutually unbiased bases, all orthonormal bases, operator bases, and unitary twirling via metric-adjusted skew information yields one intrinsic closed expression, enabling complementarity relations among wave-particle features, entropy, and average correlation.
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A new average correlation for bipartite quantum systems is defined as the difference between global and local skew information; it satisfies non-negativity, contractivity under local channels, and local unitary invariance, with equivalence proven between MUB and Haar-measure definitions plus a wave-
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Quantum average correlations and complementarity relations via metric-adjusted skew information
Averaging quantum correlations over mutually unbiased bases, all orthonormal bases, operator bases, and unitary twirling via metric-adjusted skew information yields one intrinsic closed expression, enabling complementarity relations among wave-particle features, entropy, and average correlation.
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Quantum average correlation based on average coherence
A new average correlation for bipartite quantum systems is defined as the difference between global and local skew information; it satisfies non-negativity, contractivity under local channels, and local unitary invariance, with equivalence proven between MUB and Haar-measure definitions plus a wave-