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Entanglement in interference-based quantum control: the wave function is not enough

机译:基于干扰的量子控制中的纠缠:波动函数还不够

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We analyze the way entanglement affects features of interference-based quantum control. We show that quantum interferences vanishes in several cases in the process of extracting probabilities from wave functions. As an example, we discuss the loss of quantum interferences when tracing over number states of the radiation field. We also consider the way in which controllability is reduced when tracing over an entire manifold of states whose cumulative probability we wish to control. Finally, we show that it is impossible to control the relative populations of degenerate states (occurring, e.g., in dissociation and chemical reactions) when the relevant transition amplitude is factorizeable, i.e., when it can be written as a product of a purely classical field-dependent part and a purely materialdependent part. Differences between entanglement and non-factorizability of amplitudes are emphasized.
机译:我们分析了纠缠影响基于干涉的量子控制特征的方式。我们表明,在从波函数中提取概率的过程中,量子干扰在某些情况下会消失。例如,我们讨论在辐射场的数量状态上进行追踪时量子干扰的损失。我们还考虑了在追踪我们希望控制其累积概率的整个状态的多个状态时降低可控制性的方式。最后,我们表明,当相关跃迁幅度可分解时,即当可以将其写为纯经典场的乘积时,不可能控制简并状态的相对种群(例如发生在解离和化学反应中)依赖部分和纯物质依赖部分。强调了振幅的纠缠和不可分解之间的差异。

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