Conditional generation of squeezed optical Schrödinger cat states

Squeezed optical Schrödinger cat states serve as one of the main resources for the testing of the foundations of quantum theory and the development of up-to-date quantum technologies. In my research, I propose a measurement-assisted gate for generating and manipulating such states based on the Schrödinger cat resource state (of small amplitude), a vacuum state of the target oscillator, and the quantum nondemolition entangling operation, followed by the homodyne measurement. The gate considered provides a straightforward possibility for obtaining ‘‘perfect’’ squeezed Schrödinger cat states of controlled ‘‘size’’ and the degree of squeeze with high probability of success. The gate parameters that provide the squeezed Schrödinger cat states generation, with needed fidelity and probability are evaluated. In quantum information applications, the discussed approach to generating squeezed Schrödinger cat states can be instrumental for the implementation of measurement-based quantum computing and hybrid quantum networks, where non-Gaussian entanglement increases computational and communication capabilities.