A Kind of New Three-Mode Coherent-Entangled State and Its Application

A kind of new continuous variable three-mode coherent-entangled state (CV-CES) is proposed in Fock space by the technique of integration within an ordered product (IWOP), which exhibits both the properties of coherent state and entangled state, and spans a complete and orthonormal representation. The conjugate state of CV-CES is derived by Fourier transformation. Moreover, the simple experimental protocol of generating a CV-CES is proposed by beam-splitters. As applications of this CV-CES, a three-mode entangled state and a three-mode squeezing-Fresnel operator are constructed.     

Generation of a new bipartite coherent-entangled state and its applications

A new bipartite coherent-entangled state is introduced in the two-mode Fock space, which exhibits the properties of both a coherent state and an entangled state. The set of coherent-entangled states makes up a complete and partly nonorthogonal representation. A simple experimental scheme to produce the coherent-entangled state using an asymmetric beamsplitter is proposed. Some applications of the coherent-entangled state in quantum optics are also presented.     

Generation of a new bipartite coherent-entangled state and its applications

A new bipartite coherent-entangled state is introduced in the two-mode Fock space,which exhibits the properties of both a coherent state and an entangled state.The set of coherent-entangled states makes up a complete and partly nonorthogonal representation.A simple experimental scheme to produce the coherent-entangled state using an asymmetric beamsplitter is proposed.Some applications of the coherent-entangled state in quantum optics are also presented.     

Four-mode continuous-variables entangled state: generation from beam splitter, a parametric down-conversion and a polarizer

We introduce a new kind of four-mode continuous variable entangled state in Fock space. The completeness relation and the partly nonorthonormal property of such a state are proven. The scheme to generate this state is presented by combining a symmetrical beamsplitter, a parametric down-conversion and a polarizer. After making a single-mode quadrature amplitude measurement, the remaining three modes are kept in entanglement. And its applications are also discussed.     

Multi-mode Coherent-Entangled State Representation and Its Applications

We introduce the so-called coherent-entangled state (CES) in the four-mode Fock space, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its standard Schmidt decomposition and experimental generation using beam-splitter (BS) are proposed. In addition, its applications in quantum optics are presented. Finally, we extend it to multi-mode case and discuss some applications, too.     

A New Kind of Bipartite Coherent-Entangled State and?Its?Applications in Quantum Optics

A new kind of bipartite coherent-entangled state (CES) is introduced in the two-mode Fock space which exhibits the properties of both coherent state and entangled state. The set of CESs make up a complete and partly nonorthogonal representation. A simple experimental scheme to produce the CES is proposed by using a beam splitter. Some applications of the CES are also presented in quantum optics.     

New bipartite coherent-entangled state in two-mode Fock space and its applications

A new bipartite coherent-entangled state (CES) is found which exhibits both coherent state and entangled state properties. The set of CESs constitute a complete and partly nonorthogonal representation. Using an asymmetric beamsplitter a experimental scheme to produce the CES is proposed. Applications of CESs in quantum optics are also presented.     

Controlled Teleportation of an ECS by Using a Four-Mode CTECS

A new scheme for controlled teleportation of an entangled coherent state (ECS) with the help of a four-mode cluster-type entangled coherent state (CTECS) is proposed in detail. In this scheme, a four-mode CTECS is shared by a sender, a controller and a receiver. At first, the sender performs photon number measurement on the modes at hand, and the controller also performs photon number measurement on his modes. Then the receiver can reconstruct the ECS by performing an appropriate unitary transformation on his mode after he knows the measured results of the sender and the controller. And the probability of successful controlled teleportation is approaching 1/2.     

Generalized two-mode coherent-entangled state with real parameters

The coherent-entangled state |α, x; λ> with real parameters λ is proposed in the two-mode Fock space, which exhibits the properties of both the coherent and entangled states. The completeness relation of |α, x; λ> is proved by virtue of the technique of integral within an ordered product of operators. The corresponding squeezing operator is derived, with its own squeezing properties. Furthermore, generalized P-representation in the coherent-entangled state is constructed. Finally, it is revealed that superp...     

A Kind of Four-Mode Continuous-Variable Entangled State Generated by Beamsplitter and Parametric Down-Conversions

We introduce a new four-mode continuous-variable entangled state in Fock space which can compose a new quantum mechanical representation. This state is important and can be common used because it can be generated by using one symmetrical beamsplitter and a pair of parameter down-convertors. Applying this new state in quantum information is described.     

EPR型连续变量纠缠态的正规乘积方法求解

提出了一种求解EPR型连续变量纠缠态在Fock表象中的具体形式的方法.该方法利用量子场论中的正规乘积的性质,通过对正规乘积形式的玻色子算符函数的运算,导出了Fock表象中两粒子EPR型连续变量纠缠态(即两粒子算符X1-X2和P1 P2的共同本征态)的具体形式.该方法可以进一步推广至多粒子EPR型纠缠态相应具体形式的求解.因而,这是一种求解此类纠缠态在Fock表象中具体形式的普遍技术.     

A probabilistic CNOT gate for coherent state qubits

We propose a scheme for implementing a probabilistic controlled-NOT (CNOT) gate for coherent state qubits using only linear optics and a particular four-mode state. The proposed optical setup works, as a CNOT gate, near-faithful when |α|²?25${|\alpha |}^2?25$ and independent of the input state. The key element for realizing the proposed CNOT scheme is the entangled four-mode state.     

Coherent-Entangled State in Three-Mode and Its Applications

We introduce the new concept of coherent-entangled state （CES）. By virtue of the technique of integration within an ordered product of operators we introduce a new kind of three-mode CES [β,γ,x）, which exhibits both properties of the coherent state and the entangled state. [β,γ,x） makes up a new quantum mechancial representation. Its applications in quantum optics are also presented.     

Application of Bipartite and Tripartite Entangled State Representations in Quantum Teleportation of Continuous Variables

We mostly investigate two schemes. One is to teleport a multi-mode W-type entangled coherent state using a peculiar bipartite entangled state as the quantum channel different from other proposals. Based on our formalism,teleporting multi-mode coherent state or squeezed state is also possible. Another is that the tripartite entangled state is used as the quantum channel of controlled teleportation of an arbitrary and unknown continuous variable in the case of three participators.     

Application of Bipartite and Tripartite Entangled State Representations in Quantum Teleportation of Continuous Variables

We mostly investigate two schemes. One is to teleport a multi-mode W-type entangled coherent state using a peculiar bipartite entangled state as the quantum channel different from other proposals. Based on our formalism,teleporting multi-mode coherent state or squeezed state is also possible. Another is that the tripartite entangled state is used as the quantum channel of controlled teleportation of an arbitrary and unknown continuous variable in the case of three participators.     

Some applications of a new coherent-entangled state in two-mode Fock space

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.     

The construction of the generalized continuously variable two-mode entangled state and its application

The generalized continuous variable two-mode entangled state |ς> is proposed by using the technique of integration within an ordered product (IWOP) of operators. The characteristics of this new entangled representation and its application in quantum teleportation are analyzed in detail. These results indicate that such real parameters |ς> indeed make up a new entangled representation owing to its completeness and orthogonal relation. By employing the |ς> as quantum transmission channel, the teleportation of any single-mode quantum state 3 |ψ>₃ can be realized by a unitary transformation.     

Methods for Derivation of Density Matrix of Arbitrary Multi-Mode Gaussian States from Its Phase Space Representation

We present a method for derivation of the density matrix of an arbitrary multi-mode continuous variable Gaussian entangled state from its phase space representation.An explicit computer algorithm is given to reconstruct the density matrix from Gaussian covariance matrix and quadrature average values.As an example,we apply our method to the derivation of three-mode symmetric continuous variable entangled state.Our method can be used to analyze the entanglement and correlation in continuous variable quantum network with multi-mode quantum entanglement states.     

Teleportation of a Kind of Three-Mode Entangled States of Continuous Variables

A quantum teleportation scheme to teleport a kind of tripartite entangled states of continuous variables by using a quantum channel composed of three bipartite entangled states is proposed. The joint Bell measurement is feasible because the bipartite entangled states are complete and the squeezed state has a natural representation in the entangled state basis. The calculation is greatly simplified by using the Schmidt decomposition of the entangled states.     

Teleportation of a Kind of Three-Mode Entangled States of Continuous Variables

A quantum teleportation scheme to teleport a kind of tripartite entangled states of continuous variables by using a quantum channel composed of three bipartite entangled states is proposed. The joint Bell measurement is feasible because the bipartite entangled states are complete and the squeezed state has a natural representation in the entangled state basis. The calculation is greatly simplified by using the Schmidt decomposition of the entangled states.