重复量子非破坏测量的收敛性和波函数坍缩
Convergence of repeated quantum non-demolition measurements and wave function collapse
摘要：
受最近的量子阱场实验的启发，我们给出了一个严格的证明，重复的间接量子非破坏（QND）测量收敛到波函数的崩溃所预测的量子力学的直接测量的假设。我们还将向坍缩的波函数的收敛速度与每个间接测量的相对熵联系起来，这一结果与信息论相联系。
英文摘要：
Motivated by recent experiments on quantum trapped fields, we give a rigorous proof that repeated indirect quantum non-demolition (QND) measurements converge to the collapse of the wave function as predicted by the postulates of quantum mechanics for direct measurements. We also relate the rate of convergence toward the collapsed wave function to the relative entropy of each indirect measurement, a result which makes contact with information theory.
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