2022
DOI: 10.48550/arxiv.2201.08886
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Improved unitary uncertainty relations

Xiaoli Hu,
Naihuan Jing

Abstract: We derive strong variance-based uncertainty relations for arbitrary two and more unitary operators by re-examining the mathematical foundation of the uncertainty relation. This is achieved by strengthening the celebrated Cauchy-Schwarz inequality using a method of brackets and convex functions. The unitary uncertainty relations outperform several strong unitary uncertainty relations, notably better than some recent best lower bounds such as [

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