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通过自适应测量后查询实现非正交量子态的完美区分

Perfect Discrimination of Non-Orthogonal Quantum States via Adaptive Post-Measurement Queries

Hanwool Lee, Teiko Heinosaari

arXiv 2608.01167首次发表:更新:

AI 中文总结

该研究提出自适应测量后查询的量子态区分框架,证明测量后获取的1比特信息更具价值,给出对应最优策略的通用方法,实现非正交量子态的完美区分。

AI 中文摘要

一组两两非正交的量子态无法被完美区分,即便在测量前可获取1比特经典部分信息,这一结论依然成立。与“早期信息至少和后期信息一样有价值”的常规直觉相反,我们证明当这1比特信息在测量后到达时会更有用。我们提出一种态区分框架:发送方响应接收方的请求(即查询)提供经典信息;在某些情况下,当查询可依赖测量结果时,两两非正交态能被完美区分。我们给出该场景下寻找最优策略的通用方法,结果表明其等价于针对辅助系综的标准最小错误区分问题。

英文摘要

A set of pairwise non-orthogonal quantum states cannot be perfectly discriminated, and this remains true even when one bit of classical partial information is available prior to the measurement. Contrary to the usual intuition that earlier information is at least as valuable as later information, we show that the same bit can be more useful when it arrives after the measurement. We present a framework for state discrimination in which the sender provides classical information in response to a request from the receiver, which we refer to as a query. In some cases, pairwise non-orthogonal states can be perfectly discriminated when the query is allowed to depend on the measurement outcome. We give a general method for finding the optimal strategy in this setting, which turns out to be the standard minimum-error discrimination problem for an auxiliary ensemble.

Comments6+6 pages, 2 figures

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