Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent and entangled state properties. The set of CESs makes up ...Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent and entangled state properties. The set of CESs makes up a complete and partly nonorthogonal representation. Using a beam splitter, we propose a simple experimental scheme to produce the CES. Finally~ we present some applications of CESs in quantum optics.展开更多
A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent stat...A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.展开更多
A beam splitter operator is a very important linear device in the field of quantum optics and quantum information.It can not only be used to prepare complete representations of quantum mechanics,entangled state repres...A beam splitter operator is a very important linear device in the field of quantum optics and quantum information.It can not only be used to prepare complete representations of quantum mechanics,entangled state representation,but it can also be used to simulate the dissipative environment of quantum systems.In this paper,by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator,we present the coherent state representation of the operator and the corresponding normal ordering form.Based on this,we consider the applications of the coherent state representation of the beam splitter operator,such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables.Furthermore,we extend our investigation to two single and two-mode cascaded beam splitter operators,giving the corresponding coherent state representation and its normal ordering form.In addition,the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated,and the fidelity is discussed.The above results provide good theoretical value in the fields of quantum optics and quantum information.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 10574060)the Natural Science Foundation of Shandong Province,China (Grant Nos. Y2008A23 and ZR2010AQ027)the Shandong Provincial Higher Educational Science and Technology Program,China (Grant Nos. J09LA07 and J10LA15)
文摘Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent and entangled state properties. The set of CESs makes up a complete and partly nonorthogonal representation. Using a beam splitter, we propose a simple experimental scheme to produce the CES. Finally~ we present some applications of CESs in quantum optics.
基金Project supported by the Natural Science Foundation of Shandong Province,China(Grant No.Y2008A16)the Specialized Research Fund for the Doctoral Program of Higher Education,China(Grant No.20103705110001)+1 种基金the University Experimental Technology Foundation of Shandong Province,China(Grant No.S04W138)the Natural Science Foundation of HezeUniversity of Shandong Province,China(Grants Nos.XY07WL01 and XY08WL03)
文摘A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.
基金supported by the National Natural Science Foundation of China(Grant Nos.11964013,11664017)the Training Program for Academic and Technical Leaders of Major Disciplines in Jiangxi Province(20204BCJL22053)。
文摘A beam splitter operator is a very important linear device in the field of quantum optics and quantum information.It can not only be used to prepare complete representations of quantum mechanics,entangled state representation,but it can also be used to simulate the dissipative environment of quantum systems.In this paper,by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator,we present the coherent state representation of the operator and the corresponding normal ordering form.Based on this,we consider the applications of the coherent state representation of the beam splitter operator,such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables.Furthermore,we extend our investigation to two single and two-mode cascaded beam splitter operators,giving the corresponding coherent state representation and its normal ordering form.In addition,the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated,and the fidelity is discussed.The above results provide good theoretical value in the fields of quantum optics and quantum information.
