Liouvillian Exceptional Points in Quantum Brickwork Circuits
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909013870903296 |
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| author | Popkov, Vladislav Salerno, Mario |
| author_facet | Popkov, Vladislav Salerno, Mario |
| contents | We demonstrate that Liouvillian exceptional points (LEPs), previously explored only in continuous Lindbladian dynamics, also emerge in discrete brickwork completely positive trace-preserving (CPTP) circuits. By analytically solving a minimal two-qubit brickwork model, we identify the conditions under which discrete-time LEPs arise and show that they retain the hallmark square-root eigenvalue splitting and linear-in-time sensitivity enhancement. These results establish a direct bridge between continuous non-Hermitian physics and discrete quantum-circuit architectures, opening a path toward the realization of exceptional-point-based sensing on near-term quantum processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10629 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Liouvillian Exceptional Points in Quantum Brickwork Circuits Popkov, Vladislav Salerno, Mario Quantum Physics We demonstrate that Liouvillian exceptional points (LEPs), previously explored only in continuous Lindbladian dynamics, also emerge in discrete brickwork completely positive trace-preserving (CPTP) circuits. By analytically solving a minimal two-qubit brickwork model, we identify the conditions under which discrete-time LEPs arise and show that they retain the hallmark square-root eigenvalue splitting and linear-in-time sensitivity enhancement. These results establish a direct bridge between continuous non-Hermitian physics and discrete quantum-circuit architectures, opening a path toward the realization of exceptional-point-based sensing on near-term quantum processors. |
| title | Liouvillian Exceptional Points in Quantum Brickwork Circuits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.10629 |