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PreprintarXiv licencearXiv

Trace-distance-based complementarity relations in a multipath interferometer

  • Yue Sun
  • Jingyan Liu
  • Peng-Tong Li
  • Chenxu Li
  • Ming-Jing Zhao
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Abstract

The complementarity relations in an interferometer reflect an important phenomenon in quantum mechanics: wave-particle duality. Here, we develop a method to quantify both wave and particle behaviors in a multi-path interferometer. In particular, we find that the trace distance is a good candidate for wave and particle measures. As a result, some duality relations and triality ralations are established respectively. This work not only extends the application of the trace distance to the interferometer, but also opens up new perspectives on the quantification of waveness and particleness.

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Cite

BibTeXRIS
BibTeX
@misc{sun2026tracedistancebased,
  title = {{Trace-distance-based complementarity relations in a multipath interferometer}},
  author = {Yue Sun and Jingyan Liu and Peng-Tong Li and Chenxu Li and Ming-Jing Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24074},
  eprint = {2609.24074},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24074},
}
RIS
TY  - UNPB
TI  - Trace-distance-based complementarity relations in a multipath interferometer
AU  - Yue Sun
AU  - Jingyan Liu
AU  - Peng-Tong Li
AU  - Chenxu Li
AU  - Ming-Jing Zhao
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24074
UR  - https://arxiv.org/abs/2609.24074
AB  - The complementarity relations in an interferometer reflect an important phenomenon in quantum mechanics: wave-particle duality. Here, we develop a method to quantify both wave and particle behaviors in a multi-path interferometer. In particular, we find that the trace distance is a good candidate for wave and particle measures. As a result, some duality relations and triality ralations are established respectively. This work not only extends the application of the trace distance to the interferometer, but also opens up new perspectives on the quantification of waveness and particleness.
ER  -