2023/08/04 by Huan-Yu Ku, Ku, Huan-Yu, Chung-Yun Hsieh +3 · 2 citations
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Advanced Thermodynamics and Statistical Mechanics #Force Microscopy Techniques and Applications #Advanced Fluorescence Microscopy Techniques
paper · pdf · doi:10.48550/arxiv.2308.02252
We show that the incompatibility of a set of measurements cannot be increased by subjecting them to a filter, namely, by combining them with a device that post-selects the incoming states on a fixed outcome of a stochastic transformation. This result holds for several measures of incompatibility, such as those based on robustness and convex weight. Expanding these ideas to Einstein-Podolsky-Rosen steering experiments, we are able to solve the problem of the maximum steerability obtained with respect to the most general local filters in a way that allows for an explicit calculation of the filter operation. Moreover, our results generalize to nonphysical maps, i.e., positive but not completely positive linear maps.