Estimating the Schmidt Numbers of Quantum States via Symmetric Measurements

IF 2.5 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annalen der Physik Pub Date : 2025-08-04 DOI:10.1002/andp.202500259

Hao-Fan Wang, Shao-Ming Fei

引用次数: 0

Abstract

The Schmidt numbers quantify the entanglement degree of quantum states. Quantum states with high Schmidt numbers provide a larger advantage in various quantum information processing tasks compared to quantum states with low Schmidt numbers. A Schmidt number criterion is derived based on the trace norm of the correlation matrix obtained from symmetric measurements. It is showed that the result is more effective than and superior to existing Schmidt number criteria by detailed examples.

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利用对称测量估计量子态的施密特数

施密特数量化了量子态的纠缠度。高施密特数量子态在各种量子信息处理任务中比低施密特数量子态具有更大的优势。基于对称测量得到的相关矩阵的迹范数，导出了施密特数判据。具体算例表明，该方法比现有的施密特数准则更有效。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annalen der Physik 物理-物理：综合

CiteScore

4.50

自引率

8.30%

发文量

202

审稿时长

3 months

期刊介绍： Annalen der Physik (AdP) is one of the world''s most renowned physics journals with an over 225 years'' tradition of excellence. Based on the fame of seminal papers by Einstein, Planck and many others, the journal is now tuned towards today''s most exciting findings including the annual Nobel Lectures. AdP comprises all areas of physics, with particular emphasis on important, significant and highly relevant results. Topics range from fundamental research to forefront applications including dynamic and interdisciplinary fields. The journal covers theory, simulation and experiment, e.g., but not exclusively, in condensed matter, quantum physics, photonics, materials physics, high energy, gravitation and astrophysics. It welcomes Rapid Research Letters, Original Papers, Review and Feature Articles.