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1.
HAO Xiang ZHU Shi-Qun 《理论物理通讯》2005,44(8)
The canonical quantum teleportation of two-particle arbitrary state is realized by means of phase operator and number operator. The maximally entangled eigenstates between the difference of phase operators and the sum of number operators are considered as the quantum channels. In contrast to the standard quantum teleportation, the different unitary local operation of canonical teleportation can be simplified by a general expression. 相似文献
2.
A beam splitter operator is a very important linear device in the field of quantum optics and quantum information. It can not only be used to prepare complete representations of quantum mechanics, entangled state representation, but it can also be used to simulate the dissipative environment of quantum systems. In this paper, by combining the transform relation of the beam splitter operator and the technique of integration within the product of the operator, we present the coherent state representation of the operator and the corresponding normal ordering form. Based on this, we consider the applications of the coherent state representation of the beam splitter operator, such as deriving some operator identities and entangled state representation preparation with continuous-discrete variables. Furthermore, we extend our investigation to two single and two-mode cascaded beam splitter operators, giving the corresponding coherent state representation and its normal ordering form. In addition, the application of a beam splitter to prepare entangled states in quantum teleportation is further investigated, and the fidelity is discussed. The above results provide good theoretical value in the fields of quantum optics and quantum information. 相似文献
3.
由波函数的叠加原理与变换算符出发,以三对任意纠缠的粒子作为量子通道对一个任意的三粒子态实现隐形传送为例,将体系的总量子态按Bell基展开,理论上接受者只需直接对自己拥有的粒子进行相应的变换,可使这三粒子恢复原始量子态,从而实现任意量子态的隐形传送.给出了变换算符与实际操作算符的联系.进一步可得出变换算符可逆是成功实现量子隐形传送的必要条件.
关键词:
Bell基展开
隐形传送
变换算符 相似文献
4.
By introducing the entangled Fresnel operator (EFO) this paper demonstrates that there exists ABCD theorem for two-mode entangled case in quantum optics. The canonical operator method as mapping of ray-transfer ABCD matrix is explicitly shown by EFO's normally ordered expansion through the coherent state representation and the technique of integration within an ordered product of operators. 相似文献
5.
T. S. Santhanam 《Foundations of Physics》1977,7(1-2):121-127
Recently we have studied quantum mechanics of bounded operators with a discrete spectrum. In particular, we derived an expression for the commutator[Q, P] of two bounded operators whose spectrum is discrete, and we showed that in the limit of a continuous spectrum the commutator becomes the standard one of Heisenberg. In this paper we show that the angular momentum operator and the phase operator satisfy the new commutation relation. We also briefly discuss the problem of the canonical phase operator conjugate to the number operator. 相似文献
6.
We study optical Fresnel transforms by finding the appropriate quantum mechanical SU(1,1) squeezing operators which are composed of quadratic combination of canonical operators. In one-mode case, the squeezing operator's matrix element in the coordinate basis is just the kernel of one-dimensional generalized Fresnel transform (GFT); while in two-mode case, the matrix element of the squeezing operator in the entangled state basis leads to the two-dimensional GFT kernel. The work links optical transforms in wave optics to generalized squeezing transforms in quantum optics. 相似文献
7.
XU Xue-Fen 《理论物理通讯》2008,50(4):979-982
In similar to the derivation of phase angle operator conjugate to the number
operator by Arroyo Carrasco-Moya Cessay we deduce the Hermitian phase
operators that are conjugate to the two-mode number-difference operator and
the three-mode number combination operator. It is shown that these operators
are on the same footing in the entangled state representation as the one of
Turski in the coherent state representation. 相似文献
8.
FAN Hong-Yi Hai-Liang 《理论物理通讯》2006,46(4):599-602
We show that the time-dependent two-mode Fresnel operator is just the time-evolutional unitary operator governed by the Hamiltonian composed of quadratic combination of canonical operators in the way of exhibiting SU(1,1) algebra. This is an approach for obtaining the time-dependent Hamiltonian from the preassigned time evolution in classical phase space, an approach which is in contrast to Lewis-Riesenfeld's invariant operator theory of treating timedependent harmonic oscillators. 相似文献
9.
In this paper we present an approach to quantum mechanical canonical transformations. Our main result is that time-dependent quantum canonical transformations can always be cast in the form of squeezing operators. We revise the main properties of these operators in regard to its Lie group properties, how two of them can be combined to yield another operator of the same class and how can also be decomposed and fragmented. In the second part of the paper we show how this procedure works extremely well for the time-dependent quantum harmonic oscillator. The issue of the systematic construction of quantum canonical transformations is also discussed along the lines of Dirac, Wigner, and Schwinger ideas and to the more recent work by Lee. The main conclusion is that the classical phase space transformation can be maintained in the operator formalism but the construction of the quantum canonical transformation is not clearly related to the classical generating function of a classical canonical transformation. We hereby propose the much more efficient method given by the squeezing operators. This method has also been proved to be very useful, by one of the authors, in the framework of the dynamical symmetries (Cerveró, J. M. (1999). International Journal of Theoretical Physics
38, 2095–2109). 相似文献
10.
Optical Operator Method Studied via Fresnel Operator Decomposition and Coherent State Representation
MA Shan-Jun HU Li-Yun FAN Hong-Yi 《理论物理通讯》2008,49(5):1295-1298
We find that the mapping from classical optical transformations to
the optical operator method can be realized by using the coherent state
representation and the technique of integration within an ordered product of
operators. The optical Fresnel operator derived in (Commun. Theor. Phys.
(Beijing, China) 38 (2002) 147) can unify those frequently used optical operators. Various
decompositions of Fresnel operator into the exponential canonical operators
are obtained. 相似文献
11.
We study both classical and quantum relation between two Hamiltoniansystems which are mutually connected by time-dependent canonical transformation. One is ordinary conservative system and the other istime-dependent Hamiltonian system. The quantum unitary operatorrelevant to classical canonical transformation between the two systems are obtained through rigorous evaluation. With the aid of the unitary operator, we have derived quantum states of the time-dependent Hamiltonian system through transforming the quantum states of the conservative system. The invariant operators of the two systems are presented and the relation between them are addressed. We showed that there exist numerous Hamiltonians, which gives the same classical equation of motion. Though it is impossible to distinguish the systems described by these Hamiltonians within the realm of classical mechanics, they can be distinguishable quantum mechanically. 相似文献
12.
隐形传送体系的总量子态的实质是完备基展开与变换算符的线性叠加,若变换算符可逆,且为幺正算符,则进行相应的逆幺正变换操作即可实现量子态的隐形传送;若变换算符不可逆,则不能实现任意量子态的隐形传送.本文由变换算符给出四粒子任意纠缠态的控制隐形传输的理论分析,给出控制方对拥有的粒子进行Hadamard门变换与不进行.Hadamard门变换的解释. 相似文献
13.
14.
We show that the newly found complete and orthonormal representation <λ|, which is constructed in terms of guiding centers and canonical momenta of an electron moving in a uniform magnetic field, also helps us to establish a systematic phase operator theory. The unitary phase operator, interpreted as a quantity canonically conjugated to the electron angular momentum, manifestly exhibits in the <λ| representation its phase behavior. As a byproduct, the phase distribution function, in the correct sense of probability in quantum mechanics, can also be defined by the <λ| representation. 相似文献
15.
Based on the rotation transformation in phase space and
the technique of integration within an ordered product of operators,
the coherent state representation of the multimode phase shifting
operator and one of its new applications in quantum mechanics are
given. It is proved that the coherent state is a natural language
for describing the phase shifting operator or multimode phase
shifting operator. The multimode phase shifting operator is also
a useful tool to solve the dynamic problems of the multimode
coordinate--momentum coupled harmonic oscillators. The exact energy
spectra and eigenstates of such multimode coupled harmonic
oscillators can be easily obtained by using the multimode phase
shifting operator. 相似文献
16.
《中国科学:物理学 力学 天文学(英文版)》2016,(3)
This is an introduction to antilinear operators. In following Wigner the terminus antilinear is used as it is standard in Physics.Mathematicians prefer to say conjugate linear. By restricting to finite-dimensional complex-linear spaces, the exposition becomes elementary in the functional analytic sense. Nevertheless it shows the amazing differences to the linear case. Basics of antilinearity is explained in sects. 2, 3, 4, 7 and in sect. 1.2: Spectrum, canonical Hermitian form, antilinear rank one and two operators,the Hermitian adjoint, classification of antilinear normal operators,(skew) conjugations, involutions, and acq-lines, the antilinear counterparts of 1-parameter operator groups. Applications include the representation of the Lagrangian Grassmannian by conjugations, its covering by acq-lines. As well as results on equivalence relations. After remembering elementary Tomita-Takesaki theory, antilinear maps, associated to a vector of a two-partite quantum system, are defined. By allowing to write modular objects as twisted products of pairs of them, they open some new ways to express EPR and teleportation tasks. The appendix presents a look onto the rich structure of antilinear operator spaces. 相似文献
17.
18.
Kai-Min Zheng Shi-You Liu Hao-Liang Zhang Cun-Jin Liu Li-Yun Hu 《Frontiers of Physics》2014,9(4):451-459
Using the technique of integration within an ordered product of operators we construct a generalized two-mode entangled state, which can be generated by an asymmetrical beam splitter (BS). Some important properties of this state, such as orthogonality and Schmidt decomposition, are also dis- cussed by deriving the expression of BS operator in coordinate representation. As its applications, to conjugate state, obtain operator identities, generate new squeezing operators (squeezed state) are also presented. It is shown that the fidelity of quantum teleportation can be enhanced under certain case by using the asymmetrical new squeezed state as entangled resource. 相似文献
19.
提出了隐形传送体系的总量子态实质是Bell基矢与变换算符的线性叠加,若变换算符可逆,则进行相应的逆变换操作即可实现量子态的隐形传送;若变换算符不可逆,则不能实现量子态的隐形传送;并且发现,变换算符的行列式与粒子的纠缠度有直接关系. 相似文献