论量子态后选择转变的结构

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Steklov Institute of Mathematics Pub Date : 2024-07-11 DOI:10.1134/s0081543824010139

D. A. Kronberg

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引用次数: 0

摘要

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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On the Structure of Postselective Transformations of Quantum States

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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来源期刊

Proceedings of the Steklov Institute of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Proceedings of the Steklov Institute of Mathematics is a cover-to-cover translation of the Trudy Matematicheskogo Instituta imeni V.A. Steklova of the Russian Academy of Sciences. Each issue ordinarily contains either one book-length article or a collection of articles pertaining to the same topic.