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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.03681 |
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| _version_ | 1866909156430053376 |
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| author | Javarone, Marco Alberto Rosas, Fernando E. Facchi, Paolo Pascazio, Saverio Stramaglia, Sebastiano |
| author_facet | Javarone, Marco Alberto Rosas, Fernando E. Facchi, Paolo Pascazio, Saverio Stramaglia, Sebastiano |
| contents | Here, we leverage recent advances in information theory to develop a novel method to characterise the dominant character of the high-order dependencies of quantum systems. To this end, we introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy. We illustrate the measure by investigating the properties of paradigmatic entangled Qubit states and find that -- in contrast to classical systems -- quantum systems need at least four variables to exhibit high-order properties. Furthermore, our results reveal that unitary evolution can radically affect the internal information organisation in a way that strongly depends on the corresponding Hamiltonian. Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution, opening new avenues for studying several quantum phenomena and related technologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_03681 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantifying High-Order Interdependencies in Entangled Quantum States Javarone, Marco Alberto Rosas, Fernando E. Facchi, Paolo Pascazio, Saverio Stramaglia, Sebastiano Quantum Physics Here, we leverage recent advances in information theory to develop a novel method to characterise the dominant character of the high-order dependencies of quantum systems. To this end, we introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy. We illustrate the measure by investigating the properties of paradigmatic entangled Qubit states and find that -- in contrast to classical systems -- quantum systems need at least four variables to exhibit high-order properties. Furthermore, our results reveal that unitary evolution can radically affect the internal information organisation in a way that strongly depends on the corresponding Hamiltonian. Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution, opening new avenues for studying several quantum phenomena and related technologies. |
| title | Quantifying High-Order Interdependencies in Entangled Quantum States |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.03681 |