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most citedBöttcher-Wenzel inequality for weighted Frobenius norms and its application to quantum physics

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math.RA2025

Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps

Frederik vom Ende, Dariusz Chruściński, Gen Kimura +1

We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity i…