Memory effect of time fractional Schrödinger equation plays a significant role in evolution of a single quantum state and quantum entanglement. We investigate the time fractional evolution of a single quantum state and entangled state respectively. Comparing to the results of standard Schrödinger equation, we find that the influence of memory action is unstable, which will change over time until the result is opposite to the initial effect. Our study might provide a new perspective on the role of time fractional Schrödinger equation.

中文翻译：

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单量子态和纠缠态的时间分数演化

时间分数薛定ding方程的记忆效应在单个量子态和量子纠缠的演化中起着重要作用。我们分别研究了单量子态和纠缠态的时间分数演化。与标准Schrödinger方程的结果进行比较，我们发现记忆作用的影响是不稳定的，会随着时间的变化而变化，直到结果与初始作用相反。我们的研究可能会为时间分数Schrödinger方程的作用提供一个新的观点。