Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Entanglement Missed Detection of Two‐Mode Squeezed States Based on Inseparability Criterion

Chunxiao Cai
* ORCID logo ,
Wenting Diao
* ,
Fupan Feng
,
Wenhai Yang
ORCID logo ,
Xinyu Su
,
Weigang Zhao
,
Jinman Ge
,
Long Ma
,
Nan Huo
,
Yanhong Liu
,
Chongdi Duan
Version 1 : Received: 30 October 2024 / Approved: 31 October 2024 / Online: 31 October 2024 (11:38:28 CET)

How to cite: Cai, C.; Diao, W.; Feng, F.; Yang, W.; Su, X.; Zhao, W.; Ge, J.; Ma, L.; Huo, N.; Liu, Y.; Duan, C. Entanglement Missed Detection of Two‐Mode Squeezed States Based on Inseparability Criterion. Preprints 2024, 2024102541. https://doi.org/10.20944/preprints202410.2541.v1 Cai, C.; Diao, W.; Feng, F.; Yang, W.; Su, X.; Zhao, W.; Ge, J.; Ma, L.; Huo, N.; Liu, Y.; Duan, C. Entanglement Missed Detection of Two‐Mode Squeezed States Based on Inseparability Criterion. Preprints 2024, 2024102541. https://doi.org/10.20944/preprints202410.2541.v1

Abstract

The inseparability criterion provides a straightforward and efficient method for identifying and quantifying two-mode Gaussian quantum entanglement, making it a crucial tool in quantum optics experiments. However, it is crucial to recognize that the inseparability criterion serves only as a sufficient condition for entanglement assessment, thereby posing a risk of missed detection during evaluation. This paper investigates the use of the inseparability criterion in assessing two-mode squeezed states, with a particular focus on examining missed entanglement detection due to entanglement asymmetry. The results show that when decoherence symmetrically affects both modes, the inseparability criterion effectively detects entanglement. In contrast, when this symmetry is broken, the criterion may fail to identify entanglement, with the likelihood of missed detection increasing alongside rising asymmetry. By comparing these results with the positive partial transpose criterion, which serves as a necessary and sufficient condition, the occurrence of missed detections by the inseparability criterion is confirmed. Our research not only provide valuable insights into the application of the inseparability criterion in quantum information tasks but also deepens the understanding of its operational principles and limitations.

Keywords

Gaussian quantum entanglement; inseparability criterion; entanglement asymmetry

Subject

Physical Sciences, Quantum Science and Technology

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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