Generating a Schrödinger-cat-like state via a coherent superposition of photonic operations

Abstract

We propose an optical scheme to generate a superposition of coherent states with enhanced size adopting an interferometric setting at the single-photon level currently available in the laboratory. Our scheme employs a nondegenerate optical parametric amplifier together with two beam splitters so that the detection of single photons at the output conditionally implements the desired superposition of second-order photonic operations. We analyze our proposed scheme by considering realistic on-off photodetectors with nonideal efficiency in heralding the success of conditional events. A high-quality performance of our scheme is demonstrated in view of various criteria such as quantum fidelity, mean output energy, and measure of quantum interference.

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• Dynamic conditioning of two particle discrete-time quantum walks
• Single-photon sources based on asymmetric spatial multiplexing with optimized inputs
• Implementation of traveling odd Schr$\ddot{o}$dinger cat states in circuit-QED
• Husimi phase distribution in non-Gaussian operations
• M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrődinger-cat State: Nonclassicality and Decoherence
• Parity-Swap State Comparison Amplifier for Schrödinger Cat States
• Application and quantum properties of superpositions of oppositely squeezed states