STUDY ON ENTANGLEMENT AND QUANTUM STEERING PROPERTIES BASED ON PAIR COHERENT STATES USING THE TWO-PAIR-PHOTON ADDITION METHOD

Abstract

In this study, we employ the two-pair-photon addition technique on both modes of a pair coherent state (PCS) to generate the two-pair-photon-added pair coherent state (TPPA-PCS). The entanglement properties of the state are analyzed using the Hillery entanglement criterion. The results reveal that the TPPA-PCS exhibits entanglement when the coherent amplitude is not too small. Furthermore, the quantum steering properties of the TPPA-PCS are examined in detail. The analysis shows that the TPPA-PCS satisfies the quantum steering condition according to the Cavalcanti criterion and demonstrates one-way quantum steering, in which mode a can steer mode b according to the EPR steering criterion.