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arXiv 2201.11606quant-ph
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噪声环境下具有自演化的非理想信息传播

Non-perfect propagation of information to noisy environment with self-evolution

Piotr Mironowicz, Paweł Horodecki, Ryszard Horodecki

摘要:

我们研究了信息在低维环境中的非完美传播,其中包括自演化和噪声初始状态,并分析了客观化程度与环境参数之间的相互关系。特别地,我们考虑了三个相互作用的量子比特的分析模型,并推导出它的客观性参数。数值分析表明,在相互作用过程中形成的频谱广播结构的质量可能表现出非单调性的速度的自动力学的环境,以及其混合性。前一种效应特别强,表明--将环境的一部分视为测量装置--作用于环境的外部磁场的增加可以使非常模糊的测量接近理想。上述效应表明,量子客观性可能会出现在增加环境的动力学之后,尽管不是关于指针基,而是我们称之为广义指针基或指示基的其他基。此外,当客观性差时,似乎还可以通过增加热噪声来改善,至少在一定程度上。我们通过分析在更高数量的量子比特的情况下代表完美客观性的状态集的距离上界来提供进一步的证据。

英文摘要:

We study the non-perfect propagation of information to evolving low-dimensional environment that includes self-evolution as well as noisy initial states and analyze interrelations between the degree of objectivization and environment parameters. In particular, we consider an analytical model of three interacting qubits and derive its objectivity parameters. The numerical analysis shows that the quality of the spectrum broadcast structure formed during the interaction may exhibit non-monotonicity both in the speed of self-dynamics of the environment as well as its mixedness. The former effect is particularly strong, showing that -- considering part of the environment as a measurement apparatus -- an increase of the external magnetic field acting on the environment may turn the very vague measurement into close to ideal. The above effects suggest that quantum objectivity may appear after increasing the dynamics of the environment, although not with respect to the pointer basis, but some other one which we call generalized pointer or indicator basis. Furthermore, it seems also that when the objectivity is poor it may be improved, at least by some amount, by increasing thermal noise. We provide further evidence of that by analyzing the upper bounds on distance to the set of states representing perfect objectivity in the case of a higher number of qubits.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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