The Scrooge ensemble in many-body quantum systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915630812233728 |
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| author | McGinley, Max Schuster, Thomas |
| author_facet | McGinley, Max Schuster, Thomas |
| contents | In many physical settings, the statistical properties of quantum states are thought to be described by the Scrooge ensemble, a more structured generalization of the Haar ensemble. In this work, we prove several key results on the properties and complexity of Scrooge-random states in macroscopic quantum systems, and provide a general-purpose calculus for evaluating their moments. A key theme of our results is a separation between universal random fluctuations in non-local properties and exponential concentration of all local properties. Implications for device benchmarking, sampling advantages beyond random circuits, quantum complexity growth, and the physical origin of Scrooge-random states are discussed. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_17172 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Scrooge ensemble in many-body quantum systems McGinley, Max Schuster, Thomas Quantum Physics Statistical Mechanics In many physical settings, the statistical properties of quantum states are thought to be described by the Scrooge ensemble, a more structured generalization of the Haar ensemble. In this work, we prove several key results on the properties and complexity of Scrooge-random states in macroscopic quantum systems, and provide a general-purpose calculus for evaluating their moments. A key theme of our results is a separation between universal random fluctuations in non-local properties and exponential concentration of all local properties. Implications for device benchmarking, sampling advantages beyond random circuits, quantum complexity growth, and the physical origin of Scrooge-random states are discussed. |
| title | The Scrooge ensemble in many-body quantum systems |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2511.17172 |