A no-go theorem for irreversibility along single-branch collapse dynamics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911491737780224 |
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| author | Della Corte, A. Guglielmi, L. Farotti, M. |
| author_facet | Della Corte, A. Guglielmi, L. Farotti, M. |
| contents | We study finite dimensional quantum systems with arbitrary collapse events, establishing, under no-information-erasure conditions, a structural no-go for operational irreversibility along single branches of the collapse dynamics. More precisely, we prove that, for every physically admissible selector of the collapse dynamics, there exists a topologically closed, forward-invariant subset of the projective state space on which any two states can be connected with arbitrarily fine Fubini-Study precision and arbitrarily small integrated energetic cost. This shows that the preservation of information along a realized branch of outcomes guarantees islands of quasi-reversibility, while genuine irreversibility requires additional ingredients such as non-compactness or information erasure. KEYWORDS: Quantum collapse dynamics; Quasi-reversibility; Chain-recurrence; Information non-erasure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A no-go theorem for irreversibility along single-branch collapse dynamics Della Corte, A. Guglielmi, L. Farotti, M. Mathematical Physics Dynamical Systems 81P15, 81P45, 37B20, 03E10 We study finite dimensional quantum systems with arbitrary collapse events, establishing, under no-information-erasure conditions, a structural no-go for operational irreversibility along single branches of the collapse dynamics. More precisely, we prove that, for every physically admissible selector of the collapse dynamics, there exists a topologically closed, forward-invariant subset of the projective state space on which any two states can be connected with arbitrarily fine Fubini-Study precision and arbitrarily small integrated energetic cost. This shows that the preservation of information along a realized branch of outcomes guarantees islands of quasi-reversibility, while genuine irreversibility requires additional ingredients such as non-compactness or information erasure. KEYWORDS: Quantum collapse dynamics; Quasi-reversibility; Chain-recurrence; Information non-erasure. |
| title | A no-go theorem for irreversibility along single-branch collapse dynamics |
| topic | Mathematical Physics Dynamical Systems 81P15, 81P45, 37B20, 03E10 |
| url | https://arxiv.org/abs/2512.12862 |