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.
Hubert et al., Quantum Sci
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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.