Effect of Quantum Noise on Deterministic Remote Preparation of an Arbitrary Two-Qubit State With a Relay Node

Ying-Jia Qian,Shi-Bei Xue,Zhi-Hang Xu,Min Jiang

doi:10.1109/access.2021.3050479

Abstract

We propose a scheme for deterministic remote preparation of an arbitrary two-qubit state via a relay node. Afterwards, we investigate how the scheme is influenced by the noise type, the initial state to be remotely prepared, and the decoherence rate. We find that the fidelity is symmetrical with the line (λ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">b-f</sub> =λ <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">p-f</sub> =0.5) in bit-flip and phase-flip channels. In addition, the fidelity decreases with the increase of decoherence rate in the amplitude-damping and phase-damping channels. We also compare it with other RSP schemes. Since only Bell pairs work as the quantum channels, it makes our RSP scheme more available and feasible.

Highlights

During the past decades, quantum communication has attracted great interest which could break through the limits of classical communication in terms of ensuring information security and increasing transmission capacity [1]
We provide a scheme for long-distance remote state preparation of two-qubit state when one relay node is introduced and consider the influence of noise
Different from most previous remote state preparation (RSP) schemes in which the users transmit one known two-qubit state directly, we study the remote preparation of an arbitrary two-qubit state with a relay node

Summary

INTRODUCTION

Quantum communication has attracted great interest which could break through the limits of classical communication in terms of ensuring information security and increasing transmission capacity [1]. Li et al proposed a scheme for efficient remote preparation of an arbitrary two-qubit state [14]. We hope that our study will be extended to the RSP schemes for the remote preparation of arbitrary states under noisy channels in a network involving more relay nodes in near future. With the help of the relay node, it is possible for the sender to help the remote receiver prepare an arbitrary two-qubit state. The steps of the remote preparation of an arbitrary two-qubit state with a relay node can be written as follows: Step 1: Charlie measures qubit pairs (C1, C2) and (C3, C4) using the measurement operators {MAm}, and the system becomes ρQm trC1C2 tr MAm ∗ ρsource ∗ MA†m MA†m ∗ MAm ∗ ρsource (17).

THE NOISY CHANNELS

COMPARISON

CONCLUSION