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arxiv: 1608.06075 · v1 · pith:LH3F2JUEnew · submitted 2016-08-22 · 🪐 quant-ph

Variance-based uncertainty relations for incompatible observables

classification 🪐 quant-ph
keywords observablesrelationsuncertaintyincompatiblearbitraryboundscasesderived
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We formulate uncertainty relations for arbitrary finite number of incompatible observables. Based on the sum of variances of the observables, both Heisenberg-type and Schr\"{o}dinger-type uncertainty relations are provided. These new lower bounds are stronger in most of the cases than the ones derived from some existing inequalities. Detailed examples are presented.

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