Universal quantum computation using all-optical hybrid encoding*
Guo Qia),b), Cheng Liu-Yonga), Wang Hong-Fub), Zhang Shoua),b)†
       
Schematic diagram of the two-qubit controlled-NOT gate.BSb represents a balanced beam splitter and BSu is a highly unbalanced beam splitter used to achieve single-photon subtractions. D stands for the ordinary photon detector for distinguishing the presence or absence of photons without resolving the photon’s number. H α represents the transformation |± α 〉→ 𝒩 ±(| α 〉 ± | – α 〉). σ c(t) stands for the Pauli rotation on control (target) qubit dependent on the feedforward result of the auxiliary’s ± α measurement.