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quant-ph2024★ 4 cited
Uncertainty relations based on state-dependent norm of commutator
Aina Mayumi, Gen Kimura, Hiromichi Ohno +1
We introduce two uncertainty relations based on the state-dependent norm of commutators, utilizing generalizations of the Böttcher-Wenzel inequality. The first relation is mathemat…
math-ph2024★ 5 cited
Böttcher-Wenzel inequality for weighted Frobenius norms and its application to quantum physics
Aina Mayumi, Gen Kimura, Hiromichi Ohno +1
By employing a weighted Frobenius norm with a positive matrix , we introduce natural generalizations of the famous Böttcher-Wenzel (BW) inequality. Based on the combination of t…