We propose the generation of photonic EPR state from quadratic waveguide array. Both the propagation constant and the nonlinearity in the array are designed to possess a periodical modulation along the propagation dir...We propose the generation of photonic EPR state from quadratic waveguide array. Both the propagation constant and the nonlinearity in the array are designed to possess a periodical modulation along the propagation direction.This ensures that the photon pairs can be generated efficiently through the quasi-phase-matching spontaneous parametric down conversion by holding the spatial EPR entanglement in the fashion of correlated position and anticorrelated momentum. The Schmidt number which denotes the degree of EPR entanglement is calculated and it can approach a high value when the number of illuminated waveguide channels and the length of the waveguide array are properly chosen. These results suggest the quadratic waveguide array as a compact platform for engineering photonic quantum states in a high-dimensional Hilbert space.展开更多
Our primary purpose of this work is to explicitly construct the general multiparite Einstein-Podolsky- Rosen （EPR） entangled state in multi-mode Fock space for a system with different masses of particles, which make...Our primary purpose of this work is to explicitly construct the general multiparite Einstein-Podolsky- Rosen （EPR） entangled state in multi-mode Fock space for a system with different masses of particles, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its entanglement can be seen more clearly by analyzing its standard Schmidt decomposition. In addition, some applications of the multipartite entanglement are proposed including deriving the generalized Wigner operator and squeezing operator.展开更多
We construct the three-mode cyclic squeezed states and analyze its squeezing property by using the technique of integration within an ordered product of operators and the natural representation of the two-mode squeezi...We construct the three-mode cyclic squeezed states and analyze its squeezing property by using the technique of integration within an ordered product of operators and the natural representation of the two-mode squeezing operator in the Einstein-Podolsky-Rosen entangled state basis.展开更多
Einstein–Podolski–Rosen（EPR） entanglement state is achievable by combining two single-mode position and momentum squeezed states at a 50：50 beam-splitter（BS）. We investigate the generation of the EPR entangled ...Einstein–Podolski–Rosen（EPR） entanglement state is achievable by combining two single-mode position and momentum squeezed states at a 50：50 beam-splitter（BS）. We investigate the generation of the EPR entangled state of two vibrating membranes in a ring resonator, where clockwise（CW） and counter-clockwise（CCW） travelling-wave modes are driven by lasers and finite-bandwidth squeezed lights. Since the optomechanical coupling depends on the location of the membranes, CW and CCW can couple to the symmetric and antisymmetric combination of mechanical modes for a suitable arrangement, which corresponds to a 50：50 BS mixing. Moreover, by employing the red-detuned driving laser and tuning the central frequency of squeezing field blue detuned from the driving laser with a mechanical frequency, the squeezing property of squeezed light can be perfectly transferred to the mechanical motion in the weak coupling regime. Thus, the BS mixing modes can be position and momentum squeezed by feeding the appropriate squeezed lights respectively, and the EPR entangled mechanical state is obtained. Moreover, cavity-induced mechanical cooling can further suppress the influence of thermal noise on the entangled state.展开更多
Based on the coherent entangled state ｜a, x〉 we introduce the squeezed entangled state （SES）. Then we propose a teleportation protocol for the SES by using Einstein-Podolsky-Rosen entangled state ｜η〉 as a quant...Based on the coherent entangled state ｜a, x〉 we introduce the squeezed entangled state （SES）. Then we propose a teleportation protocol for the SES by using Einstein-Podolsky-Rosen entangled state ｜η〉 as a quantum channel. The calculation is greatly simplified by virtue of the Schmidt decompositions of both ｜a, x〉 and ｜η〉. Any bipartite states that can be expanded in terms of ｜a, x〉 may be teleported in this way due to the completeness of ｜a, x〉.展开更多
A theoretical scheme for multiparty multi-particle state sharing is proposed. After she introduces auxiliary particles and Einstein-Podolsky-Rosen （EPIC） pairs, the sender （Alice） performs Hadamard （14） gate ope...A theoretical scheme for multiparty multi-particle state sharing is proposed. After she introduces auxiliary particles and Einstein-Podolsky-Rosen （EPIC） pairs, the sender （Alice） performs Hadamard （14） gate operations and Controlled-NOT （CNOT） gate operations on them. Subsequently, the sender leaves one particle sequence and distributes the rest particles to the other participants. And then, the sender makes Bell-state measurements on her particles and publishes the measurement outcomes via the classical channel to realize the quantum state sharing among the others. Only the simple operations are used to realize quantum state sharing. The sender may increase or decrease the number of the participants by changing the number of the auxiliary particles.展开更多
基金Supported by the State Key Program for Basic Research in China under Grant No.2012CB921802 the National Natural Science Foundations of China under Grant Nos.91321312,11321063 and 11422438
文摘We propose the generation of photonic EPR state from quadratic waveguide array. Both the propagation constant and the nonlinearity in the array are designed to possess a periodical modulation along the propagation direction.This ensures that the photon pairs can be generated efficiently through the quasi-phase-matching spontaneous parametric down conversion by holding the spatial EPR entanglement in the fashion of correlated position and anticorrelated momentum. The Schmidt number which denotes the degree of EPR entanglement is calculated and it can approach a high value when the number of illuminated waveguide channels and the length of the waveguide array are properly chosen. These results suggest the quadratic waveguide array as a compact platform for engineering photonic quantum states in a high-dimensional Hilbert space.
基金National Natural Science Foundation of China under Grant No.10675108the Natural Science Foundation of the Education Department of Anhui Province under Grant No.KJ2007B377ZCthe Young University Teachers' Fund of Anhui Province under Grant No.2007jql155
文摘Our primary purpose of this work is to explicitly construct the general multiparite Einstein-Podolsky- Rosen （EPR） entangled state in multi-mode Fock space for a system with different masses of particles, which makes up a new quantum mechanical representation owing to completeness relation and orthogonal property. Its entanglement can be seen more clearly by analyzing its standard Schmidt decomposition. In addition, some applications of the multipartite entanglement are proposed including deriving the generalized Wigner operator and squeezing operator.
文摘We construct the three-mode cyclic squeezed states and analyze its squeezing property by using the technique of integration within an ordered product of operators and the natural representation of the two-mode squeezing operator in the Einstein-Podolsky-Rosen entangled state basis.
基金supported by the National Natural Science Foundation of China(Grant Nos.61505014 and 11504031)the Yangtze Youth Talents Fundthe Yangtze Funds for Youth Teams of Science and Technology Innovation(Grant No.2015cqt03)
文摘Einstein–Podolski–Rosen（EPR） entanglement state is achievable by combining two single-mode position and momentum squeezed states at a 50：50 beam-splitter（BS）. We investigate the generation of the EPR entangled state of two vibrating membranes in a ring resonator, where clockwise（CW） and counter-clockwise（CCW） travelling-wave modes are driven by lasers and finite-bandwidth squeezed lights. Since the optomechanical coupling depends on the location of the membranes, CW and CCW can couple to the symmetric and antisymmetric combination of mechanical modes for a suitable arrangement, which corresponds to a 50：50 BS mixing. Moreover, by employing the red-detuned driving laser and tuning the central frequency of squeezing field blue detuned from the driving laser with a mechanical frequency, the squeezing property of squeezed light can be perfectly transferred to the mechanical motion in the weak coupling regime. Thus, the BS mixing modes can be position and momentum squeezed by feeding the appropriate squeezed lights respectively, and the EPR entangled mechanical state is obtained. Moreover, cavity-induced mechanical cooling can further suppress the influence of thermal noise on the entangled state.
基金supported by National Natural Science Foundation of China(No.21872055,No.21874045)Shanghai Science and Technology Innovation Action Plan(No.19142202900)Fundamental Research Funds for Central Universities and Open Foundation of ECNU(No.42125102)。
基金The project supported by National Natural Science Foundation of China under Grant Nos. 10475056 and 10647133, and the Research Foundation of the Education Department of Jiangxi Province under Grant No. [2007]22
文摘Based on the coherent entangled state ｜a, x〉 we introduce the squeezed entangled state （SES）. Then we propose a teleportation protocol for the SES by using Einstein-Podolsky-Rosen entangled state ｜η〉 as a quantum channel. The calculation is greatly simplified by virtue of the Schmidt decompositions of both ｜a, x〉 and ｜η〉. Any bipartite states that can be expanded in terms of ｜a, x〉 may be teleported in this way due to the completeness of ｜a, x〉.
基金The project supported by National Natural Science Foundation of China under Grant Nos.10647101 and 10704011
文摘A theoretical scheme for multiparty multi-particle state sharing is proposed. After she introduces auxiliary particles and Einstein-Podolsky-Rosen （EPIC） pairs, the sender （Alice） performs Hadamard （14） gate operations and Controlled-NOT （CNOT） gate operations on them. Subsequently, the sender leaves one particle sequence and distributes the rest particles to the other participants. And then, the sender makes Bell-state measurements on her particles and publishes the measurement outcomes via the classical channel to realize the quantum state sharing among the others. Only the simple operations are used to realize quantum state sharing. The sender may increase or decrease the number of the participants by changing the number of the auxiliary particles.
