Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/3774
Title: Bounding quantum advantages in weak value metrology
Authors: Das, Sourav.
Keywords: Bounding quantum
weak value
metrology
Issue Date: 28-Jul-2021
Publisher: IISERM
Abstract: Weak Value Amplification and Post-selection based quantum protocols have been exten- sively used to enhance the precision of estimating small parameters. However, the benefit of these protocols are largely constrained by the fact that higher enhancements come with a cost of very low probability of successful post-selection. Here we propose a geometric relation between the absolute value of the Weak Value and corresponding probability of successful post-selection which characterizes the condition to obtain a given amount of amplification with minimal cost and vice versa. We further implement this relation in the recently developed method of postselected metrology to find a similar relationship between the postselected quantum Fisher Information and the postselection probability. Finally we provide a preparation and postlection procedure in which we obtain the optimally enhanced postselected quantum Fisher Information using a three level non-degenerate quantum system.
URI: http://hdl.handle.net/123456789/3774
Appears in Collections:MS-16

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