Gaussian Atemporality: When Gaussian Quantum Correlations Imply Common Cause
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912632299061248 |
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| author | Song, Minjeong Thompson, Jayne Winnel, Matthew S. Shajilal, Biveen Ralph, Timothy C. Assad, Syed M. Gu, Mile |
| author_facet | Song, Minjeong Thompson, Jayne Winnel, Matthew S. Shajilal, Biveen Ralph, Timothy C. Assad, Syed M. Gu, Mile |
| contents | Conventionally, covariances do not distinguish between spatial and temporal correlations. The same covariance matrix could equally describe temporal correlations between observations of the same system at two different times or correlations made on two spatially separated systems that arose from some common cause. Here, we demonstrate Gaussian quantum correlations that are `atemporal', such that the covariances governing their quadrature measurements are unphysical without postulating some common cause. We introduce Gaussian atemporality robustness as a measure of atemporality, illustrating its efficient computability and operational meaning as the maximum noise which can be added without removing this uniquely quantum phenomenon. We illustrate that (i) specific spatiotemporal Gaussian correlations possess an intrinsic arrow of time, such that Gaussian atemporality robustness is zero in one temporal direction and not the other and (ii) that it measures quantum correlations beyond entanglement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11804 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gaussian Atemporality: When Gaussian Quantum Correlations Imply Common Cause Song, Minjeong Thompson, Jayne Winnel, Matthew S. Shajilal, Biveen Ralph, Timothy C. Assad, Syed M. Gu, Mile Quantum Physics Conventionally, covariances do not distinguish between spatial and temporal correlations. The same covariance matrix could equally describe temporal correlations between observations of the same system at two different times or correlations made on two spatially separated systems that arose from some common cause. Here, we demonstrate Gaussian quantum correlations that are `atemporal', such that the covariances governing their quadrature measurements are unphysical without postulating some common cause. We introduce Gaussian atemporality robustness as a measure of atemporality, illustrating its efficient computability and operational meaning as the maximum noise which can be added without removing this uniquely quantum phenomenon. We illustrate that (i) specific spatiotemporal Gaussian correlations possess an intrinsic arrow of time, such that Gaussian atemporality robustness is zero in one temporal direction and not the other and (ii) that it measures quantum correlations beyond entanglement. |
| title | Gaussian Atemporality: When Gaussian Quantum Correlations Imply Common Cause |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.11804 |