# Cat state, sub-Planck structure and weak measurement

Source: [Cat state, sub-Planck structure and weak measurement](<https://www.sota2.com/research/paper/68fa2c9c1e209131ce851962>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T15:27:04.679Z

Authors: A. K. Pan, P. K. Panigrahi

Published: 2013-05-17T08:21:13.000Z

## Abstract

Heisenberg-limited and weak measurements are the two intriguing notions, used in recent times for enhancing the sensitivity of measurements in quantum metrology. Using a quantum cat state, endowed with sub-Planck structure, we connect these two novel concepts. It is demonstrated that these two phenomena manifest in complementary regimes, depending upon the degree of overlap between the mesoscopic states constituting the cat state under consideration. In particular, we find that when sub-Planck structure manifests, the imaginary weak value is obscured and vice-versa.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1305.4009>)

[PDF](<https://arxiv.org/pdf/1305.4009.pdf>)