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World Conference on Control, Electronics and Computer Engineering (WCCECE)

The Research of Impact of Quantum Entanglement and Decoherence on Determinative Remote Preparation

Zhaohua Wang

Published Jan 1, 2018• 0 citations
Publisher

Abstract

In this paper, two problems of quantum entanglement and decoherence are analyzed.Firstly, remote implementation scheme is analyzed, and situation of bit consumption is grasped after the scheme is finalized.Then, the entanglement elimination and coherence phenomenon are analyzed from the analysis and remote preparation process.And through the influence of this phenomenon on the system, it is known that in the process of polarization, the choice of the longitude of the target quantum in the Bloch sphere gradually does not relate to the fidelity of the system, but only relate to the size of the decoherence.

DOI
10.25236/wccece.2018.37

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In this paper, two problems of quantum entanglement and decoherence are analyzed.Firstly, remote implementation scheme is analyzed, and situation of bit consumption is grasped after the scheme is finalized.Then, the entanglement elimination and coherence phenomenon are analyzed from the analysis and remote preparation process.And through the influence of this phenomenon on the system, it is known that in the process of polarization, the choice of the longitude of the target quantum in the Bloch sphere gradually does not relate to the fidelity of the system, but only relate to the size of the decoherence.
We investigate the influence of decoherence of entanglement on the deterministic remote state preparation. Firstly, the determinability and the depletion of entanglement bits and classical bits are obtained. Then two kinds of decoherent channels (depolarizing and dephasing) are analyzed. For the depolarizing channel, the fidelity is related only to the depolarization and the latitude of target quantum bits on the Bloch sphere, but is independent of longitude. For the dephasing channel, the fidelity is not affected by the quantum channel and only related to the latitude of target quantum bits.
In this paper,we propose a scheme in which one can realize remote state preparation(RSP) of an entangled state through entanglement swapping.In ideal conditions where quantum systems about RSP do not suffer unwanted interactions with the outside environment,two two-particle entangled states are used as quantum channels to remotely prepare an entangled state.Furthermore,we investigate RSP of an entangled state through noisy channels.Studies show the fidelity of the process of RSP is different under influences of different types of noises.We also investigate the influence of decoherence rate on remote state preparation for a deterministic state.
In this paper, the influence of imprecise quantum measurement on remote state preparation scheme is investigated. By analyzing the measurement parameters and corresponding errors, we obtain the evolution of output state in the process of remote state preparation. In terms of the fidelity of initial state and output state, the influence of imprecise quantum measurement is discussed. The results of this paper have the reference value for the selection of measurement basis when the quantum measurement on remote state preparation is imprecise.
The influence of noise on the remote preparation of a qubit by an entangled pair is investigated. In Bloch sphere representation, we use the trace distance to describe how close the final state is to the original state to be prepared. Our studies include two cases. Firstly, we consider the sender and the receiver sharing a mixture of two Bell states as quantum channel in remote state preparation (RSP) and calculate the trace distance as a function of mixture ratio and angle of a state to be prepared. Secondly, the system–environment interaction is taken into account by including stochastic fluctuating terms in the system Hamiltonian. Solving the Bloch equations, we obtain the evolution density matrix of the system. We then apply this stochastic model to study the effect of noise on the trace distance of RSP.
Using a quantum channel consisting of a GHZ state exposed to noisy environment, we investigate how to remotely prepare an entangled state and a qubit state, respectively. By solving the master equation in the Lindblad form, the influence of the various types of noises on the GHZ state is first discussed. Then we use the fidelity to describe how close the remotely prepared state and the initial state are. Our results show that the fidelity is a function of the decoherence rates and the angles of the initial state. It is found that for each of the two RSP schemes, the influence of the noise acting simultaneously in x, y, and z directions on the average fidelity is the strongest while the influence of the noise acting in x or z direction on the average fidelity is relatively weaker.
The quantum computation needs to maintain the quantum state coherent and the entanglement, but these two characteristics are very easy to be destructed by the decoherent process,therefore,how to overcome the effect of decoherence is the key to implement quantum computation.The Hamiltonian of the superconducting circuit was derived from circuit graph theory,and multilevel dissipative dynamics was studied by the Bloch-Redfield function.Finally,under two-level approximation,the influence of mutual inductance on the decoherence of the magnetic flux qubit was discovered.And how to change the mutual inductance tO reduce the decoherence time of the magnetic flux quantum bit was discussed.