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Acta Sinica Quantum Optica

A Better Controlled Scheme of Probabilistically Teleporting an Unknown 3D two Particle Entangled State for the Receiver

Zha Xin-wei

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

We establish a scheme for probabilistically teleporting an unknown 3D(dimensional) two-particle state using non-maximally entangled states as a quantum channel.In this scheme,the probabilistic teleportation is realized by using the new orthogonal complete bases measurement instead of the traditional Bell measurement,and we also use 3D entangled state as the quantum channel.These are different from the previous schemes.This scheme is more convenient for the receiver,because users could realize communication with less operators.

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理论物理通讯：英文版•Jan 1, 2006•0 citations
We establish a scheme for probabilistically teleporting an unknown 3D(dimensional) two-particle state using non-maximally entangled states as a quantum channel.In this scheme,the probabilistic teleportation is realized by using the new orthogonal complete bases measurement instead of the traditional Bell measurement,and we also use 3D entangled state as the quantum channel.These are different from the previous schemes.This scheme is more convenient for the receiver,because users could realize communication with less operators.
In this paper a new scheme for teleporting an unknown entangled state of two particles is proposed. To weaken the requirement for the quantum channel, without loss of generality, two communicators only share a non-maximally entangled two-particle state. Teleportation can be probabilistically realized if sender performs Bell-state measurements and Hadamard transformation and receiver introduces two auxiliary particles, operates C -not operation, single-qubit measurements and appropriate unitary transformations. The probability of successful teleportation is determined by the smaller one among the coefficients' absolute values of the quantum channel.
We have explicitly shown a teleportation scheme which allows Alice to probabilistically teleport an unknown 2-particle entangled state to either of the two receivers,Bob or Charlie,by using a non-maximally entangled 5-particle state as quantum channel.The scheme can be generalized to teleport an unknown N-(particle) entangled state to M receivers using a(N·M+1)-particle state as quantum channel at the expense of performing one CNOT operation,N·M Hadamard operations,appropriate unitary transformation without performing Bell-state measurement.
In this paper, two schemes for teleporting an unknown three-particle three-level entangled state are proposed. In the first scheme, two partial three-particle three-level entangled states are used as the quantum channels, while in the second scheme, three two-particle three-level non-maximally entangled states are employed as quantum channels. It is shown that the teleportation can be successfully realized with certain probability, for both two schemes, if a receiver adopts some appropriate unitary transformations. It is shown also that the successful probabilities of these two schemes are different.
Two simple schemes for probabilistic teleportation of an arbitrary unknown two-particle state using a non-maximally entangled EPR pair and a non-maximally entangled GHZ state as quantum channels are proposed. After receiving Alice's Bell state measurement results, Bob performs a collective unitary transformation on his inherent particles without introducing the auxiliary qubit. The original state can be probabilistically teleported. Meanwhile, quantum circuits for realization of successful teleportation are also presented.
A scheme for teleporting an unknown three-particle GHZ state from a sender to either one of two receivers is proposed. In this scheme, the quantum channel is composed of two non-maximally three-particle entangled W states. An unknown three-particle GHZ state can be perfectly teleported probabilistically if the sender performs two generalized Bell-state measurements and the Hadamard operation while either one of two receivers introduces an ancillary particle which is one of the final three particle constituting the teleported state, then performs the controlled-not operation with the ancillary particle as the target bit and introduces an appropriate unitary transformation with the help of the other receiver's simple measurements. All kinds of unitary transformations are given in detail. The present scheme may be directly generalized to teleport an unknown multiparticle GHZ state via two three-particle entangled W states used as the quantum channel.