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arxiv: 2503.05669 · v4 · pith:JA37XL5Tnew · submitted 2025-03-04 · 🪐 quant-ph · math-ph· math.FA· math.MP

On a certain inequality for the sum of norms and reverse uncertainty relations

classification 🪐 quant-ph math-phmath.FAmath.MP
keywords inequalitynormsreverseuncertaintyanalyzecertainderiveinner
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We prove a simple inequality for a sum of squares of norms of two vectors in an inner product space. Next, using this inequality we derive the so--called "reverse uncertainty relation" and analyze its properties.

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