Construction of efficient Schmidt-number witnesses for high-dimensional quantum states

被引：5

作者：

Wyderka, Nikolai ^{[1
]}

Chesi, Giovanni ^{[2
]}

Kampermann, Hermann ^{[1
]}

Macchiavello, Chiara ^{[2
]}

Bruss, Dagmar ^{[1
]}

机构：

[1] Heinrich Heine Univ Dusseldorf, Inst Theoret Phys 3, Univ Str 1, D-40225 Dusseldorf, Germany

[2] Ist Nazl Fis Nucl Sez Pavia, Via Agostino Bassi 6, I-27100 Pavia, Italy

来源：

PHYSICAL REVIEW A | 2023年 / 107卷 / 02期

关键词：

Compendex;

D O I：

10.1103/PhysRevA.107.022431

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Recent progress in quantum optics has led to setups that are able to prepare high-dimensional quantum states for quantum information processing tasks. As such, it is of importance to benchmark the states generated by these setups in terms of their quantum mechanical properties, such as their Schmidt numbers, i.e., the number of entangled degrees of freedom. In this paper, we develop an iterative algorithm that finds Schmidt number witnesses tailored to the measurements available in specific experimental setups. We then apply the algorithm to find a witness that requires the measurement of a number of density matrix elements that scales linearly with the local dimension of the system. As a concrete example, we apply our construction method to an implementation with photonic temporal modes.

引用

页数：7