Photon addition to cat states produces a parity phase shift for odd additions and drives sub-Poissonian statistics regardless of component phase, trading quadrature squeezing for amplitude-squared squeezing.
Parigi et al., Science317, 1890 (2007)
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Nonclassicality of multi-photon-added cat states
Photon addition to cat states produces a parity phase shift for odd additions and drives sub-Poissonian statistics regardless of component phase, trading quadrature squeezing for amplitude-squared squeezing.