Quantum causal inference via scattering circuits in NMR
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916476066201600 |
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| author | Liu, Hongfeng Liu, Xiangjing Chen, Qian Qiu, Yixian Vedral, Vlatko Nie, Xinfang Dahlsten, Oscar Lu, Dawei |
| author_facet | Liu, Hongfeng Liu, Xiangjing Chen, Qian Qiu, Yixian Vedral, Vlatko Nie, Xinfang Dahlsten, Oscar Lu, Dawei |
| contents | We report NMR scattering circuit experiments that reveal causal structure. The scattering circuit involves interacting a probe qubit with the system of interest and finally measuring the probe qubit. The scattering circuit thereby implements a coarse-grained projective measurement. Causal structure refers to which events influence others and in the quantum case corresponds to different quantum circuit structures. In classical scenarios, intervention is commonly used to infer causal structure. In this quantum scenario of a bipartite system at two times, we demonstrate via scattering circuit experiments that coarse-grained measurements alone suffice for determining the causal structure. The experiment is undertaken by manipulating the nuclear spins of four Carbon-13 atoms in crotonic acid. The data analysis determines the compatibility of the data with given causal structures via representing the data as a pseudo density matrix (PDM) and analysing properties of the PDM. We demonstrate the successful identification of the causal structure for partial swap channels and fully decohering channels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06052 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum causal inference via scattering circuits in NMR Liu, Hongfeng Liu, Xiangjing Chen, Qian Qiu, Yixian Vedral, Vlatko Nie, Xinfang Dahlsten, Oscar Lu, Dawei Quantum Physics We report NMR scattering circuit experiments that reveal causal structure. The scattering circuit involves interacting a probe qubit with the system of interest and finally measuring the probe qubit. The scattering circuit thereby implements a coarse-grained projective measurement. Causal structure refers to which events influence others and in the quantum case corresponds to different quantum circuit structures. In classical scenarios, intervention is commonly used to infer causal structure. In this quantum scenario of a bipartite system at two times, we demonstrate via scattering circuit experiments that coarse-grained measurements alone suffice for determining the causal structure. The experiment is undertaken by manipulating the nuclear spins of four Carbon-13 atoms in crotonic acid. The data analysis determines the compatibility of the data with given causal structures via representing the data as a pseudo density matrix (PDM) and analysing properties of the PDM. We demonstrate the successful identification of the causal structure for partial swap channels and fully decohering channels. |
| title | Quantum causal inference via scattering circuits in NMR |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.06052 |