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
Quantum paradoxes are essential means to reveal the incompatibility between quantum and classical theories,among which the Einstein–Podolsky–Rosen(EPR)steering paradox offers a sharper criterion for the contradictio...Quantum paradoxes are essential means to reveal the incompatibility between quantum and classical theories,among which the Einstein–Podolsky–Rosen(EPR)steering paradox offers a sharper criterion for the contradiction between localhidden-state model and quantum mechanics than the usual inequality-based method.In this work,we present a generalized EPR steering paradox,which predicts a contradictory equality“2Q=(1+δ)C”(0≤δ<1)given by the quantum(Q)and classical(C)theories.For any N-qubit state in which the conditional state of the steered party is pure,we test the paradox through a two-setting steering protocol,and find that the state is steerable if some specific measurement requirements are satisfied.Moreover,our construction also enlightens the building of EPR steering inequality,which may contribute to some schemes for typical quantum teleportation and quantum key distributions.展开更多
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.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.12275136 and 12075001)the 111 Project(Grant No.B23045)the Nankai Zhide Foundation.
文摘Quantum paradoxes are essential means to reveal the incompatibility between quantum and classical theories,among which the Einstein–Podolsky–Rosen(EPR)steering paradox offers a sharper criterion for the contradiction between localhidden-state model and quantum mechanics than the usual inequality-based method.In this work,we present a generalized EPR steering paradox,which predicts a contradictory equality“2Q=(1+δ)C”(0≤δ<1)given by the quantum(Q)and classical(C)theories.For any N-qubit state in which the conditional state of the steered party is pure,we test the paradox through a two-setting steering protocol,and find that the state is steerable if some specific measurement requirements are satisfied.Moreover,our construction also enlightens the building of EPR steering inequality,which may contribute to some schemes for typical quantum teleportation and quantum key distributions.
基金National Science and Technology Support Program(2012BAD21B04)The National Natural Science Fund(31170627)+1 种基金The priority academic program development of Jiangsu higher education institutions(PAPD)Scientific Research Foundation of Nanjing Jinguiyuan Agricultural Development Co.Ltd
