Bidirectional quantum teleportation of unknown photons using path-polarization intra-particle hybrid entanglement and controlled-unitary gates via cross-Kerr nonlinearity*
Heo Jinoa),b), Hong Chang-Hoa),b), Lim Jong-Ina),b), Yang Hyung-Jina),c)†
       
Gaussian probability distribution of the measurements of the probe beam in a coherent state, acquired by an X-homodyne measurement: the black and red curves correspond to f ( X , α ′) and f ( X , α ′ cos θ ), respectively. X 0 is the midpoint of the two peaks and X d is the distance between them.