Topological Phase Transitions in a Constrained Two-Qubit Quantum Control Landscape
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917051486961664 |
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| author | Beato, Nicolò Patil, Pranay Bukov, Marin |
| author_facet | Beato, Nicolò Patil, Pranay Bukov, Marin |
| contents | In optimal quantum control, control landscape phase transitions (CLPTs) indicate sharp changes occurring in the set of optimal protocols, as a physical model parameter is varied. Here, we demonstrate the existence of a new class of CLPTs, associated with changes in the topological properties of the optimal level set in a two-qubit state-preparation problem. In particular, the distance distribution of control protocols sampled through stochastic homotopic dynamics reveals discontinuous changes in the number of connected components in the optimal level set, as a function of the protocol duration. We demonstrate how topological CLPTs can be detected in modern-day experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08736 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological Phase Transitions in a Constrained Two-Qubit Quantum Control Landscape Beato, Nicolò Patil, Pranay Bukov, Marin Quantum Physics Quantum Gases Statistical Mechanics In optimal quantum control, control landscape phase transitions (CLPTs) indicate sharp changes occurring in the set of optimal protocols, as a physical model parameter is varied. Here, we demonstrate the existence of a new class of CLPTs, associated with changes in the topological properties of the optimal level set in a two-qubit state-preparation problem. In particular, the distance distribution of control protocols sampled through stochastic homotopic dynamics reveals discontinuous changes in the number of connected components in the optimal level set, as a function of the protocol duration. We demonstrate how topological CLPTs can be detected in modern-day experiments. |
| title | Topological Phase Transitions in a Constrained Two-Qubit Quantum Control Landscape |
| topic | Quantum Physics Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2411.08736 |