Photon added cat state: phase space structure and statistics

The phase space structure and statistics of the photon added cat state are studied in the state's general form. Photon addition leads to a it phase shift at the origin in the observed. phase space interference of the Wigner function, which may serve as an error syndrome detector. The maxima and minima of the sub-Planck tiles in the phase space of the kitten state are interchanged after photon addition, leading to their orthogonality. Interestingly, photon addition to the Yurke-Stoler state characterized by Poissonian statistics leads to a sub-Poissonian distribution, which may find potential use in quantum noise reduction. (C) 2021 Optical Society of America

Automated summary

The phase space structure and statistics of the photon added cat state were studied, revealing that photon addition leads to a phase shift at the origin and can serve as an error syndrome detector. Furthermore, photon addition interchange the maxima and minima of sub-Planck tiles in the kitten state's phase space, leading to their orthogonality. Additionally, photon addition to the Yurke-Stoler state with Poissonian statistics results in a sub-Poissonian distribution that could be useful for quantum noise reduction.