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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.18767 |
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| _version_ | 1866909704532262912 |
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| author | Escobar, Mia Gabriella Garcia, Valentin Minenkova, Anastasiia |
| author_facet | Escobar, Mia Gabriella Garcia, Valentin Minenkova, Anastasiia |
| contents | The existence of infinite families of $N \times N$ Jacobi matrices representing the Hamiltonians of quantum spin chains with and without early state exclusion (ESE) has been shown to exist for any even $N \geq 4$. However, their existence for odd $N \geq 7$ has remained an open problem. In Section 3, we consider a chain of qubits experiencing nearest-neighbor interactions with environmental effects and present infinite families of $7 \times 7$ Jacobi matrices with and without ESE. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18767 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Early State Exclusion in 7-Qubit Spin Chains Escobar, Mia Gabriella Garcia, Valentin Minenkova, Anastasiia Quantum Physics Numerical Analysis 15A29, 81P45, 47B36, 33C45 The existence of infinite families of $N \times N$ Jacobi matrices representing the Hamiltonians of quantum spin chains with and without early state exclusion (ESE) has been shown to exist for any even $N \geq 4$. However, their existence for odd $N \geq 7$ has remained an open problem. In Section 3, we consider a chain of qubits experiencing nearest-neighbor interactions with environmental effects and present infinite families of $7 \times 7$ Jacobi matrices with and without ESE. |
| title | Early State Exclusion in 7-Qubit Spin Chains |
| topic | Quantum Physics Numerical Analysis 15A29, 81P45, 47B36, 33C45 |
| url | https://arxiv.org/abs/2507.18767 |