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arXiv 2301.02664quant-ph
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量子测量中的Lindbladian诱导排列

Lindbladian-Induced Alignment in Quantum Measurements

Robert Englman, Asher Yahalom

摘要:

Lindbladian形式的表达式,提出了确保一个明确的时间连续减少的初始系统指针波包的读数和可观察的值对齐,形式化为从系统和设备的密度矩阵的外积到内积的过渡。跳跃算子是基于观测量的,具有从测量设置导出的唯一确定的参数(从而不同于S。Weinberg的Lindbladian波包形式主义的解决方案),并符合玻恩的概率规则。新颖之处在于将周围环境(包括测量设备)对观察模式的适应性形式化。因此,跃迁的持续时间是有限的(与冯·诺依曼公式中的瞬时性相反)。这个持续时间估计一个简单的半自旋模型。

英文摘要:

An expression of the Lindbladian form is proposed that ensures an unambiguous time-continuous reduction of the initial system-pointer wave-packet to one in which the readings and the observable's values are aligned, formalized as the transition from an outer product to an inner product of the system's and apparatus' density matrices. The jump operators are in the basis of the observables, with uniquely determined parameters derived from the measurement set-up (thereby differing from S. Weinberg's Lindbladian resolution of wave-packet formalism) and conforming to Born's probability rules. The novelty lies in formalising the adaptability of the surroundings (including the measuring device) to the mode of observation. Accordingly, the transition is of finite duration (in contrast to its instantaneousness in the von Neumann's formulation). This duration is estimated for a simple half-spin-like model.

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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