Measurement-induced coherent control of non-Gaussian operations on quantum state preparation

Quantum state preparation is an essential ingredient in quantum information processing. In this letter, based on quantum coherent control induced by Bell measurement, non-Gaussian operations, namely adding (subtracting) one single photon to (from) Gaussian-like input signal field, has been implemented to generate a single-photon-added and -subtracted coherent (SPASC) superposition state. In order to carry out the coherent control, a specified conceptual experiment apparatus has been proposed. By adjusting beamsplitter reflectivity and parameter gain of χ(2) nonlinear crystal, the ingredients of this superposition state can be manipulated. With the help of quasi-probability distribution Wigner function, the evolution of non-classical properties with two controllable parameters can be visualized for this superposition state. The results show a quantum non-Gaussian superposition state can be generated by the measurement-induced coherent control scheme.