New Concepts on Quadripartitioned Bipolar Single Valued Neutrosophic Graph

The partition of indeterminacy function of the neutrosophic set into the contradiction part and the ignorance part represent the quadripartitioned single valued neutrosophic set.In this work,the new concept of quadripartitioned bipolar single valued neutrosophic graph is established,and the operations on it are studied.The Cartesian product,cross product,lexicographic product,strong product and composition of quadripartitioned bipolar single valued neutrosophic graph are investigated.The proposed concepts are illustrated with examples.

Electromagnetically induced transparency and quadripartite macroscopic entanglement generated in a ring cavity

We propose a feasible scheme to generate electromagnetically induced transparency（EIT） and quadripartite macroscopic entanglement in an optomechanical system with one fixed mirror and three movable perfectly reflecting mirrors.We explore the EIT phenomena in this optomechanical system.Results show the appearance of EIT dips in the output field.Moreover,we demonstrate how steady-state quadripartite entanglement can be generated via radiation pressure.We also quantify the bipartite entanglement in each field-mirror subsystem and in the mirror-mirror subsystem.Findings show that a high intensity of entanglement between two subsystems can be achieved.

Generation of GHZ-like and cluster-like quadripartite entangled states for continuous variable using a set of quadrature squeezed states

We designed the experimental generation system of the optical GHZ-like and cluster-like quadripartite entangled states for continuous variables.We theoretically demonstrated that the two different types of quadripartite entangled states can be obtained by the linearly optical transformation of four amplitude-quadrature and phase-quadrature squeezed states produced from a pair of nondegenerate optical parametric amplifiers under appropriate phase relations.The criteria for full inseparability of quadripartite cluster-like state were deduced,and the dependency of the quadripartite entanglement on the initial squeezing degree,the transmission efficiencies of the system and the detection efficiency of homodyne detection were numerically calculated.

Generation of a continuous-variable quadripartite cluster state multiplexed in the spatial domain

As a highly entangled quantum network, the duster state has the potential for greater information capacity and use in measurement-based quantum computation. Here, we report generating a continuous-variable quadripartite ＂square＂ cluster state of multiplexing orthogonal spatial modes in a single optical parametric amplifier （OPA）, and further improve the quality of entanglement by optimizing the pump profile. We produce multimode en- tanglement of two first-order Hermite-Gauss modes within one beam in a single multimode OPA and transform it into a duster state by phase correction. Furthermore, the pump-profile dependence of the entanglement of this state is explored. Compared with fundamental mode pumping, an enhancement of approximately 33% is achieved using the suitable pump-profile mode. Our approach is potentially scalable to multimode entanglement in the spatial domain. Such spatial duster states may contribute to future schemes in spatial quantum information processing.