We investigate the role of quadrature squeezing in the quantum teleportation protocol for coherent states using non-Gaussian resource states. For two-mode systems, the non-Gaussian resource states that we use are obtained with an experimentally realizable scheme of photon subtraction, photon addition, and photon catalysis on the two-mode squeezed vacuum and two-mode squeezed thermal states. We first analyze the nonclassical attribute of quadrature squeezing in these generated non-Gaussian states using the $\mathrm{U}\left(2\right)$-invariant squeezing approach, which allows us to account for all possible quadratures. We then show that the presence of such nonclassicality in non-Gaussian resource states is not necessary for successful quantum teleportation, a finding which is at variance with an earlier proposition in this direction. This result is important since it demonstrates how nonclassicality other than quadrature squeezing present in the resource can be utilized for quantum teleportation.

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• Quantum information processing with continuous variables
• Quantum teleportation
• Squeezing of quantum noise