On the Structure of Postselective Transformations of Quantum States

Pub Date : 2024-07-11 DOI:10.1134/s0081543824010139
D. A. Kronberg
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Abstract

We study the properties of postselective transformations of quantum states, that is, transformations for which some classical results are declared “successful” while the rest are discarded. We demonstrate that for every postselective transformation there exists a distinguished orthonormal basis for which the transformation reduces to probabilistic blocking of the basis states followed by a deterministic transformation. We also describe a generalization of an arbitrary postselective transformation that corresponds to its partial version with a given success probability.

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论量子态后选择转变的结构
摘要 我们研究了量子态后选择变换的性质,即一些经典结果被宣布为 "成功 "而其他结果被抛弃的变换。我们证明,对于每一种后选择变换,都存在一个区分的正交基,对于这个正交基,变换简化为基态的概率阻塞,然后是确定性变换。我们还描述了任意后选择变换的广义化,它对应于具有给定成功概率的部分变换。
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