Spatial Incompatibility Witnesses for Quantum Temporal Correlations
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911262973100032 |
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| author | Liu, Xiangjing Verma, Harshit Xiao, Yunlong Dahlsten, Oscar Gu, Mile |
| author_facet | Liu, Xiangjing Verma, Harshit Xiao, Yunlong Dahlsten, Oscar Gu, Mile |
| contents | We introduce a witness-based framework for certifying quantum temporal correlations via the pseudo-density matrix (PDM) formalism, which is a spatiotemporal generalization of the density matrix. We define spatial incompatibility (SI) as the minimum distance between a PDM and valid density matrices. For trace-norm distance, we show that this reduces to the PDM's negativity, enabling the construction of experimentally accessible SI witnesses. We derive a tight bound on SI for quantum channels and analyze the respective roles of state and channel coherence in witnessing SI. Our approach, unlike the LG framework, exploits measurements that generate coherence through state disturbance. We further show that channels satisfying the LG inequality for incoherent states can still exhibit detectable SI, demonstrating that measurement disturbance enhances the certification of temporal correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01179 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spatial Incompatibility Witnesses for Quantum Temporal Correlations Liu, Xiangjing Verma, Harshit Xiao, Yunlong Dahlsten, Oscar Gu, Mile Quantum Physics We introduce a witness-based framework for certifying quantum temporal correlations via the pseudo-density matrix (PDM) formalism, which is a spatiotemporal generalization of the density matrix. We define spatial incompatibility (SI) as the minimum distance between a PDM and valid density matrices. For trace-norm distance, we show that this reduces to the PDM's negativity, enabling the construction of experimentally accessible SI witnesses. We derive a tight bound on SI for quantum channels and analyze the respective roles of state and channel coherence in witnessing SI. Our approach, unlike the LG framework, exploits measurements that generate coherence through state disturbance. We further show that channels satisfying the LG inequality for incoherent states can still exhibit detectable SI, demonstrating that measurement disturbance enhances the certification of temporal correlations. |
| title | Spatial Incompatibility Witnesses for Quantum Temporal Correlations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.01179 |