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ACTA PHOTONICA SINICA

The Probabilistic Teleportation via Bi-particle Mixed State

Shi Zhong-ke

Published Jan 1, 2009• 2 citations
OpenAlex

Abstract

In order to teleport the quantum state in realistic situation,a scheme of probabilistic teleportation an unknown mixed state with an entangled mixed state based on Bell measurement is presented.After analyzing the successful probability of teleportation,it is predicated that the process optimizes the probability of teleportation with the entangled mixed state,and then find that the probability of teleportation depends on it's the minimal eigenvalue.This scheme can be regarded as a generalization of the process presented by Bennett et al.

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In order to teleport the quantum state in realistic situation,a scheme of probabilistic teleportation an unknown mixed state with an entangled mixed state based on Bell measurement is presented.After analyzing the successful probability of teleportation,it is predicated that the process optimizes the probability of teleportation with the entangled mixed state,and then find that the probability of teleportation depends on it's the minimal eigenvalue.This scheme can be regarded as a generalization of the process presented by Bennett et al.
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 present a scheme for probabilistic teleportation via a non-maximally entangled GHZ state. Quantum teleportation will succeed with a certain probability if the sender makes a generalized Bell state measurement, the cooperator performs a generalized XXX basis measurement, and the receiver introduces an auxiliary particle, performs a collective unitary transformation and makes a measurement on the auxiliary particle. The success probability of the teleportation is given. We also obtain the maximum of the success probability of the teleportation.