Quantum max-flow in the bridge graph
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912108555272192 |
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| author | Gesmundo, Fulvio Lysikov, Vladimir Steffan, Vincent |
| author_facet | Gesmundo, Fulvio Lysikov, Vladimir Steffan, Vincent |
| contents | The quantum max-flow quantifies the maximal possible entanglement between two regions of a tensor network state for a fixed graph and fixed bond dimensions. In this work, we calculate the quantum max-flow exactly in the case of the bridge graph. The result is achieved by drawing connections to the theory of prehomogenous tensor and the representation theory of quivers. Further, we highlight relations to invariant theory and to algebraic statistics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09794 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Quantum max-flow in the bridge graph Gesmundo, Fulvio Lysikov, Vladimir Steffan, Vincent Quantum Physics Algebraic Geometry Representation Theory The quantum max-flow quantifies the maximal possible entanglement between two regions of a tensor network state for a fixed graph and fixed bond dimensions. In this work, we calculate the quantum max-flow exactly in the case of the bridge graph. The result is achieved by drawing connections to the theory of prehomogenous tensor and the representation theory of quivers. Further, we highlight relations to invariant theory and to algebraic statistics. |
| title | Quantum max-flow in the bridge graph |
| topic | Quantum Physics Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2212.09794 |