We construct explicitly even and odd q-coherent states.These q-coherent states are introduced in terms of the q-functions defined in the paper.It is shown that the even and odd q-coherent states form a kind of represe...We construct explicitly even and odd q-coherent states.These q-coherent states are introduced in terms of the q-functions defined in the paper.It is shown that the even and odd q-coherent states form a kind of representations of the q-deformed Heisenberg-Weyl algebra which is realized in the form of matrix q-differential operators in the even and odd q-coherent state space.We also analyse some different between the even and odd q-CSs and the usual even and odd CSs.展开更多
In this paper,we construct a type of coherent state with N components,and use it to span cycle representations of the Lie algebras SU(2),SU(1,l)and the Lit:superalgebra OSP(1,2).The method for constructing cycle repre...In this paper,we construct a type of coherent state with N components,and use it to span cycle representations of the Lie algebras SU(2),SU(1,l)and the Lit:superalgebra OSP(1,2).The method for constructing cycle representation may be generalized to other Lie algebras and Lie superalgebras.展开更多
Even coherent states (ECSs) of a finite-dimensional Hilbert space harmonic oscillator (FDHSHO) are constructed explicitly.Some properties of them are discussed.The quadrature squeezing and the amplituded-squared squee...Even coherent states (ECSs) of a finite-dimensional Hilbert space harmonic oscillator (FDHSHO) are constructed explicitly.Some properties of them are discussed.The quadrature squeezing and the amplituded-squared squeezing of these states are investigated in detail.It is found that ECSs of the FDHSHO exhibit not only the quadrature squeezing but also the amplituded-squeezing.展开更多
We propose new methods to construct universal Greenberger-Horne-Zeilinger(GHZ)-state analyzers without destroying the qubits by using two-qubit parity gates. The idea can be applied to any physical systems where the t...We propose new methods to construct universal Greenberger-Horne-Zeilinger(GHZ)-state analyzers without destroying the qubits by using two-qubit parity gates. The idea can be applied to any physical systems where the two-qubit parity gate can be realized.We also investigate the feasibility of nondestructively distinguishing the GHZ-basis states for photonic qubits with such an idea.The nondestructive GHZ-state analyzers can act as generators of GHZ entangled states and are expected to find useful applications for resource-saving quantum information processing.展开更多
文摘We construct explicitly even and odd q-coherent states.These q-coherent states are introduced in terms of the q-functions defined in the paper.It is shown that the even and odd q-coherent states form a kind of representations of the q-deformed Heisenberg-Weyl algebra which is realized in the form of matrix q-differential operators in the even and odd q-coherent state space.We also analyse some different between the even and odd q-CSs and the usual even and odd CSs.
基金Supported by the National Natural Science Foundation of China.
文摘In this paper,we construct a type of coherent state with N components,and use it to span cycle representations of the Lie algebras SU(2),SU(1,l)and the Lit:superalgebra OSP(1,2).The method for constructing cycle representation may be generalized to other Lie algebras and Lie superalgebras.
基金Supported by the National Natural Science Foundation of China.
文摘Even coherent states (ECSs) of a finite-dimensional Hilbert space harmonic oscillator (FDHSHO) are constructed explicitly.Some properties of them are discussed.The quadrature squeezing and the amplituded-squared squeezing of these states are investigated in detail.It is found that ECSs of the FDHSHO exhibit not only the quadrature squeezing but also the amplituded-squeezing.
基金supported by the National Basic Research Program of China(Grant No.2013CB921804)the National Natural Science Foundation of China(Grant Nos.11004050,11075050 and 11375060)+2 种基金the Key Project of Chinese Ministry of Education(Grant No.211119)the China Postdoctoral Science Foundation funded project(Grant No.2013T60769)the construct program of the key discipline in Hunan province
文摘We propose new methods to construct universal Greenberger-Horne-Zeilinger(GHZ)-state analyzers without destroying the qubits by using two-qubit parity gates. The idea can be applied to any physical systems where the two-qubit parity gate can be realized.We also investigate the feasibility of nondestructively distinguishing the GHZ-basis states for photonic qubits with such an idea.The nondestructive GHZ-state analyzers can act as generators of GHZ entangled states and are expected to find useful applications for resource-saving quantum information processing.
