General Single-Mode Gaussian Operation with Two-Mode Entangled State**Supported by the National Natural Science Foundation of China under Grant Nos 61205115, 11474003 and 61675006, the Natural Science Foundation of Anhui Province under Grant Nos 1608085MF133 and 1408085MA19, the Foundation for the Young Talent of Anhui Province under Grant No gxyqZD2016065, and the Youth Foundation of Anhui University of Technology under Grant

Abstract

Realizing the logic operations with small-scale states is pursued to improve the utilization of quantum resources and to simplify the experimental setup. We propose a scheme to realize a general single-mode Gaussian operation with a two-mode entangled state by utilizing only one nondegenerate optical parametric amplifier and by adjusting four angle parameters. The fidelity of the output mode can be optimized by changing one of the angle parameters. This scheme would be utilized as a basic efficient element in the future large-scale quantum computation.