2007/07/31 by Takayuki Miyadera, Hideki Imai · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Mathematical Analysis and Transform Methods #Mathematical Inequalities and Applications #Quantum Information and Cryptography #quant-ph
paper · pdf · doi:10.1103/physreva.76.062108
published as Phys. Rev. A 76, 062108 (2007) · Simplified the proofs. To be published in Phys.Rev.A
arxiv created 2007/11/01 · openalex publication_date 2007/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Landau-Pollak uncertainty relation treats a pair of rank one projection valued measures and imposes a restriction on their probability distributions. It gives a nontrivial bound for summation of their maximum values. We give a generalization of this bound (weak version of the Landau-Pollak uncertainty relation). Our generalization covers a pair of positive operator valued measures. A nontrivial but slightly weak inequality that can treat an arbitrary number of positive operator valued measures is also presented. A possible application to the problem of separability criterion is also suggested.