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1.
In this paper, we discuss the unitary transformation induced by Z6 rotations of noncommutative space on the states (k, q,s), which plays a key role in construction for noncommutative solitons T^2/Z6 by GHS method. As a result, we prove a well-known "Gauss Sum" formula in the number theory through a concise way. 相似文献
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WANG Zheng-Chuan 《理论物理通讯》2006,46(11)
In the well-known treatment of quantum teleportation, the receiver should convert the state of his EPR particle into the replica of the unknown quantum state by one of four possible unitary transformations. However, the importance of these unitary transformations must be emphasized. We will show in this paper that the receiver cannot transform the state of his particle into an exact replica of the unknown state which the sender wants to transfer if he has not a proper implementation of these unitary transformations. In the procedure of converting state, the inevitable coupling between EPR particle and environment which is needed by the implementation of unitary transformations will reduce the accuracy of the replica. 相似文献
3.
WANG Zheng-Chuan 《理论物理通讯》2006,46(5):857-858
In the well-known treatment of quantum teleportation, the receiver should convert the state of his EPR particle into the replica of the unknown quantum state by one of four possible unitary transformations. However, the importance of these unitary transformations must be emphasized. We will show in this paper that the receiver cannot transform the state of his particle into an exact replica of the unknown state which the sender wants to transfer if he has not a proper implementation of these unitary transformations. In the procedure of converting state, the inevitable coupling between EPR particle and environment which is needed by the implementation of unitary transformations will reduce the accuracy of the replica. 相似文献
4.
Based on supersymmetric quantum mechanics theory, we introduced a supersymmetric unitary transfor mation to diagonalize the Hamiltonian of non-degenerate two-mode two-photon Jaynes-Cummings models which include any forms of intensity-dependent coupling, field-dependent detuning, and field nonlinearity. Its eigenvalue, eigenstates,and time evolution of state vector are obtained. 相似文献
5.
Using squeezing transform in the context of quantum optics and based on the Fourier series expansion we rigorously derive a new Poisson sum formula. Application of this new formula to the representation transformation of kq-wave function for describing electrons in periodic lattice is demonstrated. In so doing, the transition matrix element of harmonic oscillator in kq representation is derived. 相似文献
6.
Based on supersymmetric quantum mechanics theory, we introduced
a supersymmetric unitary transformation to diagonalize the Hamiltonian
of non-degenerate two-mode two-photon Jaynes-Cummings models
which include any forms of intensity-dependent coupling, field-dependent
detuning, and field nonlinearity. Its
eigenvalue, eigenstates, and time evolution of state vector are
obtained. 相似文献
7.
We introduce a supersymmetric unitary transformation, to diagonalize the multiphoton Jaynes–Cummings model Hamiltonian based on supersymmetric quantum mechanics theory, that includes any forms of intensity-dependent coupling and field nonlinearity. On doing so, we obtain its eigenvalue and eigenstates, and the time evolution of state vector. 相似文献
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FAN Hong-Yi HAO Ren LU Hai-Liang 《理论物理通讯》2008,50(9):611-614
Based on our previous paper (Commun. Theor. Phys. 39 (2003) 417) we derive the convolution theorem of fractional Fourier transformation in the context of quantum mechanics, which seems a convenient and neat way. Generalization of this method to the complex fractional Fourier transformation case is also possible. 相似文献
12.
Based on our previous paper (Commun. Theor. Phys. 39 (2003) 417) we derive the convolution theorem of fractional Fourier
transformation in the context of quantum mechanics, which seems a convenient
and neat way. Generalization of this method to the complex fractional
Fourier transformation case is also possible. 相似文献
13.
SONG Tong-Qiang 《理论物理通讯》2005,43(6):1107-1110
The four-particle EPR entangled state | p,χ2,χ3,χ4〉is constructed. The corresponding quantum mechanical operator with respect to the classical transformation p→eλ1p, χ2→
eλ2χ2, χ3→eλ3χ3, and χ4→eλ4χ4 in the state |p,χ2 ,χ3 ,χ4〉is investigated, and the four-mode realization of the
SU(1,1) Lie algebra as well as the corresponding squeezing operators are
presented. 相似文献
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For applying the perfect code to transmit quantum information over a noise channel,the standard protocol contains four steps:the encoding,the noise channel,the error-correction operation,and the decoding.In present work,we show that this protocol can be simplified.The error-correction operation is not necessary if the decoding is realized by the so-called complete unitary transformation.We also offer a quantum circuit,which can correct the arbitrary single-qubit errors. 相似文献
16.
For applying the perfect code to transmit quantum information over a noise channel, the standard protocol contains four steps: the encoding, the noise channel, the error-correction operation, and the decoding. In present work, we show that this protocol can be simplified. The error-correction operation is not necessary if the decoding is realized by the so-called complete unitary transformation. We also offer a quantum circuit, which can correct the arbitrary single-qubit errors. 相似文献
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We introduce a new unitary operator U which can engender a squeezing and rotating entangled transformation. The U operator has a concise expression in a new representation in two-mode Fock space. The normally ordered form of U can be derived by using the technique of integration within an ordered product of operators. The fluctuation in quadrature phases for these squeezing-rotating entangled states are analyzed. 相似文献
20.
We find that a squeezing transformation can efficiently simplify the density operator equation of field damping in a squeezed
bath. Then the entangled state representation is introduced to solve the simplified equation and the time evolution of density
operator, which turns out to be a mixed coherent squeezed state.
Work supported by the President Foundation of Chinese Academy of Science and Specialized research fund for the doctorial progress
of Higher Education (SRFDP). 相似文献