The Effect of the Multi‐Environment for Quantum Correlation: Geometry Discord vs Quantum Discord

Abstract

A two qubits system interacting with two independent spin‐environments connecting with the third environment is constructed in order to demonstrate the effect of the multi‐environment for quantum correlation. In this process, the freezing phenomenon appears for SCI and X states under Quantum Discord and Geometric Discord measures, respectively, but not for the same initial state measured by different measures. Meanwhile, the properties of the freezing platform, characterized by the collapse, revival and persistent time, are researched by the different parameters. The result of this paper may pave a way to control quantum correlation and design nanospintronic devices.

The freezing Rènyi quantum discord

“…In view of the freezing phenomenon for X (SCI) states 10–12,19,22,28,29,33,50–54 by geometry and von Neumann entropy discords, X and SCI initial states are chosen here.…”

“…Although the general results are obtained, the intrinsic parameters may play an important role in the changing behaviors of the quantum correlation [14][15]17,32], especially the freezing behavior. In Fig.…”

“…In the same year, Lang and Caves 32 provided a complete geometry picture of the freezing discord phenomenon for Bell-diagonal states. Later, some effort has been devoted to discuss the condition for the frozen-discord with some Non-Markovian processes and inial states 10,19,20,33 (Bell-diagonal states, X states and SCI atates). In conclusion, the freezing discord shows a robust feature of a family of two-qubit models subject to nondissipative decoherence, that is, the quantum correlation does not change for a while.…”

“…It was clearly demonstrated that entanglement represents only a portion of the quantum correlations and can entirely cover the latter only for a global pure state [9]. Later, many efforts have been devoted to quantify quantum correlation from the view of geometry [9][10][11][12][13][14][15] and entropy [7][8][16][17][18][19].…”

Researching the Link Between the Geometric and R鑞yi Discord for Special Canonical Initial States Based on Neural Network Method

“…Looking at this problem from data processing perspective, this problem can be solved by machine learning method. In this work, we extent our works [Zhu, Li, Zhu et al (2018); Ding, Zhu, Wu et al (2017)] and further construct the link between D Br and the RED of α = 2 by the use of machine learning method for special canonical initial states (SCI).…”