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International Journal of Quantum Information

REMOTE STATE PREPARATION IN NON-MARKOVIAN ENVIRONMENT

Yanliang Zhang, Qingping Zhou, Guodong Kang, Fang Zhou, Xiaobo Wang

Published Apr 1, 2012• 5 citations
Publisher

Abstract

We present a scheme for remote preparing a general two-particle state by two entangled states serving as the quantum communication channel. In this scheme, it is possible for the receiver to perfectly reconstruct the initial state that the sender hopes to prepare with the method of introducing an auxiliary qubit and postselection measurements in the situation of non-maximal entangled quantum channel. Furthermore, we investigate the influence of the dissipation factors on the processing of the remote state preparation when the entangled resources are in the Markovian and non-Markovian noisy environments. It is shown that the fidelity of remote state preparation is decreasing exponentially over time in Markovian environments and attenuating oscillatorily in non-Markovian. However, when the non-Markovian and the detuning conditions are satisfied simultaneously, the fidelity can be preserved at comparative high levels, effectively.

DOI
10.1142/s021974991250030x

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A scheme is proposed for the remote preparation of an arbitrary two-particle quantum state by using two nonmaximally entangled states as the quantum channel. The effects of the environment noise on the quantum channels are considered, in which the time-evolution is ruled by the master equations of the density matrices in the Lindblad form. We investigated the influence of environment noise on the fidelities of the remote state preparation based on three types of quantum channels. It is found that the output state of remote state preparation, as time goes on, has a higher fidelity in the case of the quantum channel consists of |01) and |10) basis than that of |00) and |11) basis. Furthermore, the results also demonstrate that the fidelity is proportional to the product of both situations above when the quantum channel consists of the mixture basis, and its value is between of them.
A scheme is proposed for the remote preparation of a two qubit quantum state by using two nonmaximally entangled states as the quantum channel. The effects of the environment noise on the quantum channels are considered, in which the time-evolution is ruled by the master equations of the density matrices in the Lindblad form. We investi- gated the influence of environment noise on the fidelity of the remote state preparation based on three types of quantum channels. It is found that the output state of remote state preparation, as time goes on, has a higher fidelity in the case of the quantum channel consists of |01> and |10> basis than that of |00> and |11> basis. Furthermore, the results also demonstrate that the fidelity is proportional to the product of both situations above when the channel consists of the mixture basis, and its value is between of them.
We discuss a quantum remote state preparation protocol by which two parties, Alice and Candy, prepare a single-qubit and a two-qubit state, respectively, at the site of the receiver Bob. The single-qubit state is known to Alice while the two-qubit state which is a non-maximally entangled Bell state is known to Candy. The three parties are connected through a single entangled state which acts as a quantum channel. We first describe the protocol in the ideal case when the entangled channel under use is in a pure state. After that, we consider the effect of amplitude damping (AD) noise on the quantum channel and describe the protocol executed through the noisy channel. The decrement of the fidelity is shown to occur with the increment in the noise parameter. This is shown by numerical computation in specific examples of the states to be created. Finally, we show that it is possible to maintain the label of fidelity to some extent and hence to decrease the effect of noise by the application of weak and reversal measurements. We also present a scheme for the generation of the five-qubit entangled resource which we require as a quantum channel. The generation scheme is run on the IBMQ platform.
In this paper, we have reinvestigated probabilistic quantum communication protocols and developed a nontraditional remote state preparation protocol that allows for deterministically transferring information encoded in quantum states using a non-maximally entangled channel. With an auxiliary particle and a simple measurement method, the success probability of preparing a d-dimensional quantum state is increased to 1 without spending additional quantum resources in advance to improve quantum channels, such as entanglement purification. Furthermore, we have designed a feasible experimental scheme to demonstrate the deterministic paradigm of transporting a polarization-encoded photon from one location to another using a generalized entangled state. This approach provides a practical method to address decoherence and environmental noises in actual quantum communication.