Witnessing Quantum Incompatibility Structures in High-Dimensional Multimeasurement Systems
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arXiv
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| Autori principali: | , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913578975494144 |
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| author | Zhang, Xiaolin Qu, Rui Chang, Zehong Wang, Yunlong Guo, Zhenyu An, Min Gao, Hong Li, Fuli Zhang, Pei |
| author_facet | Zhang, Xiaolin Qu, Rui Chang, Zehong Wang, Yunlong Guo, Zhenyu An, Min Gao, Hong Li, Fuli Zhang, Pei |
| contents | Quantum incompatibility, referred as the phenomenon that some quantum measurements cannot be
performed simultaneously, is necessary for various quantum information processing tasks, such as
nonlocality and steering. When these applications come to high-dimensional multimeasurement scenarios,
it is crucial and challenging to witness the incompatibility of measurements with complex structures. To
address this problem, we propose a modified quantum state discrimination protocol that decomposes
complex compatibility structures into pairwise ones and employs noise robustness to bound incompatibility
structures. We then derive arithmetic bounds for arbitrary measurements and analytical bounds for mutually
unbiased bases, and capture some quantum incompatibility structures where measurements are partly
compatible and partly incompatible. Finally, we experimentally demonstrate our results and connect them
with quantum steering, quantum simulability and quantum communications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_12122 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Witnessing Quantum Incompatibility Structures in High-Dimensional Multimeasurement Systems Zhang, Xiaolin Qu, Rui Chang, Zehong Wang, Yunlong Guo, Zhenyu An, Min Gao, Hong Li, Fuli Zhang, Pei Quantum Physics Quantum incompatibility, referred as the phenomenon that some quantum measurements cannot be performed simultaneously, is necessary for various quantum information processing tasks, such as nonlocality and steering. When these applications come to high-dimensional multimeasurement scenarios, it is crucial and challenging to witness the incompatibility of measurements with complex structures. To address this problem, we propose a modified quantum state discrimination protocol that decomposes complex compatibility structures into pairwise ones and employs noise robustness to bound incompatibility structures. We then derive arithmetic bounds for arbitrary measurements and analytical bounds for mutually unbiased bases, and capture some quantum incompatibility structures where measurements are partly compatible and partly incompatible. Finally, we experimentally demonstrate our results and connect them with quantum steering, quantum simulability and quantum communications. |
| title | Witnessing Quantum Incompatibility Structures in High-Dimensional Multimeasurement Systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2306.12122 |