Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (5): 1136-1143.

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Entanglement Testing Based on Affine Mapping

Han Qi*(),Gou Lijie,Wang Shuai,Bai Ning,Wang Huan,Han Yanan   

  1. School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070
  • Received:2022-12-26 Revised:2024-01-19 Online:2024-10-26 Published:2024-10-16
  • Supported by:
    National Natural Science Foundation of China(62261049);National Natural Science Foundation of China(12261080);Natural Science Foundation of Gansu province(20JR10RA085);Higher Education Innovation Fund of Gansu Provincial Department of Education(2022A-017)

Abstract:

In this paper, we present a new method to test quantum entanglement based on affine mapping. First, we prove the complete positivity of two special affine mappings in two-dimensional Hilbert space. Then, based on this completely positive affine mapping, we give our entanglement test. At last, we illustrate the capability of our test with two examples.

Key words: Affine mapping, Entanglement test, Entangled state, Hadamard gate

CLC Number: 

  • O211.9
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