The superposition of pure quantum states explicitly expressed in terms of a nonlinear addition rule of state density operators is reviewed. The probability representation of density matrices of qudit states is used to formulate the interference of the states as a combination of the probability distributions describing pure states. The formalism of quantizer–dequantizer operators is developed. Examples of spin-1/2 states and f-oscillator systems are considered.

中文翻译：

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量子力学概率表示中的量子态干涉与叠加原理

回顾了用态密度算子的非线性加法规则明确表示的纯量子态的叠加。qudit 状态的密度矩阵的概率表示用于将状态的干扰表示为描述纯状态的概率分布的组合。量化器-去量化器算子的形式得到发展。考虑自旋 1/2 状态和 f 振荡器系统的示例。