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International Journal of Quantum Information

REMOTE PREPARATION OF A TWO-PARTICLE ENTANGLED STATE

Haijun Pan, Hong Wei Yu, HONGYE YAN

Published Dec 1, 2010• 1 citation
Publisher

Abstract

In this paper, we propose a scheme for probabilistic remote preparation of a two-particle nonmaximally entangled state. In this scheme, two pairs of the two-particle partially entangled state are used as quantum channel. Alice performs the single-particle measurement three times and sends the information to the receiver. In accordance with the information, the receiver can construct the original state. By this method, the total probability of successful preparation is enhanced.

DOI
10.1142/s0219749910006988

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In this paper, we propose a scheme for probabilistic remote preparation of a two-particle nonmaximally entangled state. In this scheme, two pairs of the two-particle partially entangled state are used as quantum channel. Alice performs the single-particle measurement three times and sends the information to the receiver. In accordance with the information, the receiver can construct the original state. By this method, the total probability of successful preparation is enhanced.
A scheme for remotely preparing an arbitrary two-particle pure state is proposed by employing bipartite nonmaximally entangled states as quantum channels. During the preparation, two auxiliary particles and an optimal positive operator-valued measurement are introduced. The preparation of two-particle pure states can be remotely realized with certain success probability (SP). And the SP of our scheme is exactly worked out. It turns out that the SP depends inherently on the quantum channels employed beforehand. Furthermore, we find that, as far as two special ensembles of two-particle states are concerned, i.e. real and equatorial-like, the SP can be enhanced to quadruple.
By means of the method of the positive operator-valued measure, two schemes to remotely prepare an arbitrary two-particle entangled state were presented. The first scheme uses a one-dimensional four-particle non-maximally entangled cluster state while the second one uses two partially entangled two-particle states as the quantum channel. For both schemes, if Alice performs two-particle projective measurements and Bob adopts positive operator-valued measure, the remote state preparation can be successfully realized with certain probability. The success probability of the remote state preparation and classical communication cost are calculated. It is shown that Bob can obtain the unknown state with probability 1/4 for maximally entangled state. However, for four kinds of special states, the success probability of preparation can be enhanced to unity.
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.
We propose a novel and efficient scheme for probabilistic controlled remote state preparation of an arbitrary two-qubit quantum state with the aid of the introduction of auxiliary particles and some appropriate local unitary operations. In this scheme, two partially three-qubit entangled states are used as quantum channel. The controlled preparation with one sender, two receivers and one controller can be realized when the information of nonmaximally entangled states are only available for the sender. Furthermore, the concrete implementation processes of this proposal are presented, and the successful probability of our scheme are calculated in the general case and special case, respectively.
We propose a scheme to remotely prepare a general two-particle entangled state by using a bipartite entangled state and a tripartite entangled W state as the quantum channel. Our scheme consists of one sender and two remote receivers. The sender can help either one of the receivers to remotely reconstruct the original state with the assistance of the other receiver's single-particle orthogonal measurement. We obtain the total success probability and discuss the classical communication cost in our remote state preparation scheme.