Quantum properties of superpositions of oppositely squeezed states

We investigate the quantum properties of superpositions of oppositely squeezed states, which can be regarded as Schrodinger cat states. Compared with conventional coherent-state cat states, these states exhibit distinct photon-number structures and enhanced nonclassical features. We analyze their Wigner function and quantify the entanglement generated when they are injected into a 50:50 beam splitter. For small squeezing parameters, the resulting two-mode states possess higher entanglement than pure two-mode squeezed vacuum states. We also propose a linear-optical heralding scheme that approximates this superposition of oppositely squeezed states without requiring strong Kerr nonlinearities. Our results indicate that such states are promising resources for continuous-variable quantum information processing, particularly in regimes where high non-Gaussianity and strong entanglement are desirable.