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Cat state, sub-Planck structure and weak measurement

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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.

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Authors and Affiliations

  1. Graduate School of Information Science, Nagoya University, Chikusa-ku, 464-8601, Nagoya, Japan

    Alok Kumar Pan

  2. Indian Institute of Science Education and Research Kolkata, Mohanpur, 741252, Nadia, India

    Alok Kumar Pan & Prasanta Kumar Panigrahi

Authors
  1. Alok Kumar Pan
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  2. Prasanta Kumar Panigrahi
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Correspondence to Alok Kumar Pan or Prasanta Kumar Panigrahi.

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Pan, A.K., Panigrahi, P.K. Cat state, sub-Planck structure and weak measurement. Eur. Phys. J. D 67, 182 (2013). https://doi.org/10.1140/epjd/e2013-30592-9

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  • DOI: https://doi.org/10.1140/epjd/e2013-30592-9

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