Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Journal of Quantum Electronics

Expansion of orthogonal complete set and transformation operator in teleportation of three-partical entangled state

Zha Xin-wei

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

Xi Yongjun et al proposed a scheme of probabilistic teleportation of an arbitrary three particle entangled state via three pair nonmaximally entangled particles. In this scheme, receiver need use auxiliary particles to realize the teleportation. Not using two auxiliary particles, the system state is linear combination of Bell bases and transformation operator. If transformation operators have inverse operators, the teleportation can be realized by performing a inverse transformation. The relation of the determinant of transformation operators with entanglement measure is obtained.

Related papers

The expansion of orthogonal complete set and transformation operator in teleportation

Zha Xin-wei, 西安邮电学院应用数学与应用物理系，西安 710061

In accordance with the principle of superposition，for the teleportation of an arbitrary three-particle state via three pair nonmaximally entangled particles, the system state of particles can be expanded by Bell bases and transformation operator, and the teleportation can be realized only by performing a inverse transformation. The relation of transformation operators with unitary operation is discussed. The necessary condition to realize the teleportation is that the transformation operators have inverse operators.

Acta Physica Sinica•Jan 1, 2007•12 citations

The expansion of orthogonal complete set and transformation operator in the teleportation of a three-particle entangled W state

Shangguan Li-Ying, Hong-xiang Sun, Xiu‐Bo Chen +3 more

Firstly，we discuss a scheme for teleportation of a three-particle entangled W state via a two-particle and a three-particle entangled state. Then，in accordance with the principle of superposition and transformation operators，the three-particle entangled W state is expanded by Bell bases and the teleportation can be realized. The relation of transformation operators with unitary operation is discussed. The necessary condition for realizing the teleportation is that the transformation operators have inverse operators.

Acta Physica Sinica•Jan 1, 2009•3 citations

The expansion of orthogonal complete set and teleportation of an arbitrary two-qubit state

Xin-Wei Zha, Cun-Bing Huang

In accordance with the principle of superposition and operator rule, the state of the whole system composed of the state of the particles to be teleported and quantum channel can be expanded by Bell bases and transformation operator. Theoretically, if determinant of transformation operators is not zero, the teleportation can be realized only by performing an inverse transformation. Actually, if the transformation operator is not a unitary operation, then by using one auxiliary qubits, the teleportation can be realized only by performing a collective unitary transformation. Moreover, the further analysis of the relationship between collective unitary operation and transformation operators is discussed.

arXiv:quant-ph/0607116•Jul 18, 2006•0 citations

The transformation operator of the quantum state and probabilistic teleportation

Liying Shangguan, Sun Hongxiang, Chen Xiubo +2 more

Utilizing the construction of a diagonal projection transformation matrix, a scheme for probabilistic teleportation of an arbitrary n-qudit state is provided via partially entangled states. In addition, we investigate that the total system of particles can be expanded by Bell bases and transformation operators. Not only are the relations between transformation operators and the unitary matrixes performed by the receiver are generalized with a concise formula, but also the diagonal projection transformations. Taking the teleportation of an unknown three-qutrit state as example, it is discussed in great detail.

IEEE International Conference on Broadband Network and Multimedia Technology (IC-BNMT)•Oct 1, 2009•0 citations

Probabilistic teleportation of four particles W state

Zha Xin-wei

A scheme for teleportation of four-particle W state via two pairs of non-maximally two-particle entangled state is given.The sender only need to carry out one orthogonal complete measurement base, then the sender inform the measurement results to the receiver by classical channel,and the receiver introduce auxiliary particle F,and carry out a Von Neumann measurement after giving a proper unitary transformation.The receiver introduce another two auxiliary particle B_3B_4,and carry out the proper unitary transformation on his own particles.As a result,the teleportation of four particle entanglement can be realized with a certain probability.In this scheme,the sender only carry out one orthogonal complete measurement base,and if the quantum channel is in maximum entanglement,this scheme can realize complete transmission.

Chinese Journal of Quantum Electronics•Jan 1, 2010•1 citation

Probabilistic teleportation of an arbitrary three-particle entangled state via three pairs partly entangled particles

Xuemin Qian

We propose a scheme of probabilistic teleportation of an arbitrary three-particle entangled state via three pair nonmaximally entangled particles. Quantum teleportation can be successfully realized with a certain probability if the receiver adopts an appropriate unitary-reduction strategy. The probability of successful teleportation is determined by three smaller coefficients of the three entangled pairs. If the quantum channels are composed of three EPR states, complete teleportation can be realized by this method.

Chinese Journal of Quantum Electronics•Jan 1, 2006•0 citations
Xi Yongjun et al proposed a scheme of probabilistic teleportation of an arbitrary three particle entangled state via three pair nonmaximally entangled particles. In this scheme, receiver need use auxiliary particles to realize the teleportation. Not using two auxiliary particles, the system state is linear combination of Bell bases and transformation operator. If transformation operators have inverse operators, the teleportation can be realized by performing a inverse transformation. The relation of the determinant of transformation operators with entanglement measure is obtained.
In accordance with the principle of superposition，for the teleportation of an arbitrary three-particle state via three pair nonmaximally entangled particles, the system state of particles can be expanded by Bell bases and transformation operator, and the teleportation can be realized only by performing a inverse transformation. The relation of transformation operators with unitary operation is discussed. The necessary condition to realize the teleportation is that the transformation operators have inverse operators.
Firstly，we discuss a scheme for teleportation of a three-particle entangled W state via a two-particle and a three-particle entangled state. Then，in accordance with the principle of superposition and transformation operators，the three-particle entangled W state is expanded by Bell bases and the teleportation can be realized. The relation of transformation operators with unitary operation is discussed. The necessary condition for realizing the teleportation is that the transformation operators have inverse operators.
In accordance with the principle of superposition and operator rule, the state of the whole system composed of the state of the particles to be teleported and quantum channel can be expanded by Bell bases and transformation operator. Theoretically, if determinant of transformation operators is not zero, the teleportation can be realized only by performing an inverse transformation. Actually, if the transformation operator is not a unitary operation, then by using one auxiliary qubits, the teleportation can be realized only by performing a collective unitary transformation. Moreover, the further analysis of the relationship between collective unitary operation and transformation operators is discussed.
Utilizing the construction of a diagonal projection transformation matrix, a scheme for probabilistic teleportation of an arbitrary n-qudit state is provided via partially entangled states. In addition, we investigate that the total system of particles can be expanded by Bell bases and transformation operators. Not only are the relations between transformation operators and the unitary matrixes performed by the receiver are generalized with a concise formula, but also the diagonal projection transformations. Taking the teleportation of an unknown three-qutrit state as example, it is discussed in great detail.
A scheme for teleportation of four-particle W state via two pairs of non-maximally two-particle entangled state is given.The sender only need to carry out one orthogonal complete measurement base, then the sender inform the measurement results to the receiver by classical channel,and the receiver introduce auxiliary particle F,and carry out a Von Neumann measurement after giving a proper unitary transformation.The receiver introduce another two auxiliary particle B_3B_4,and carry out the proper unitary transformation on his own particles.As a result,the teleportation of four particle entanglement can be realized with a certain probability.In this scheme,the sender only carry out one orthogonal complete measurement base,and if the quantum channel is in maximum entanglement,this scheme can realize complete transmission.
We propose a scheme of probabilistic teleportation of an arbitrary three-particle entangled state via three pair nonmaximally entangled particles. Quantum teleportation can be successfully realized with a certain probability if the receiver adopts an appropriate unitary-reduction strategy. The probability of successful teleportation is determined by three smaller coefficients of the three entangled pairs. If the quantum channels are composed of three EPR states, complete teleportation can be realized by this method.