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arXiv:1308.1730

Optimizing scheme of probabilistic remote preparation state

Xin-Wei Zha, Jia-fan Xia, Jianxia Qi

Published Aug 8, 2013• 0 citations
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Abstract

We propose a new generalized remote state preparation protocol for using non-maximally entangled state as a shared resource. Different from the previous schemes, the parameters of measurement basis depend on not only the state of preparation but also the state of quantum channel. The advantage of the present protocols is that, by constructing a set of appropriate mutually orthogonal measurement basis, the success probability is improved. It is worthwhile noticing that the probability of success is determined by Alice's measurement. If Alice's measurement is appropriate, the remote preparation can be successfully realized with the maximal probability.

DOI
10.48550/arxiv.1308.1730

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We propose a new generalized remote state preparation protocol for using non-maximally entangled state as a shared resource. Different from the previous schemes, the parameters of measurement basis depend on not only the state of preparation but also the state of quantum channel. The advantage of the present protocols is that, by constructing a set of appropriate mutually orthogonal measurement basis, the success probability is improved. It is worthwhile noticing that the probability of success is determined by Alice's measurement. If Alice's measurement is appropriate, the remote preparation can be successfully realized with the maximal probability.
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We present two schemes for preparing remotely a three-particle entangled state by two different quantum channels. In the first scheme, two partial three-particle entangled states are used as the quantum channels, while in the second scheme, three two-particle non-maximally entangled states are employed as the quantum channels. It is shown that the remote state preparation can be successfully realized with certain probability, for both two schemes, if a sender performs some projective measurements and a receiver adopts some appropriate unitary transformations. It is shown also that the successful probabilities of these two schemes are different.
In this paper,a scheme for realizing a joint remote preparation of an arbitrary three-qubit state is researched.The scheme adopts generalized Bell states as quantum channels,each preparer measures his/her qubits in an appropriate basis and broadcasts through a public classical communication channel the measurement outcome based on which the receiver carries out necessary actions.By introducing an auxiliary particle and making selective measurement on it,the receiver can reconstruct the desired state with probability less than unity.The result shows that by using different type of generalized Bell states channel,the probability of joint remote preparation of an arbitrary three-qubit state is the same.While the generalized Bell states channel is maximally entangled,the joint remote preparation obtains the maximall total success probability.