Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866909047010099200 |
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| author | Fawzi, Omar Gao, Li Rahaman, Mizanur Taheri, Mostafa |
| author_facet | Fawzi, Omar Gao, Li Rahaman, Mizanur Taheri, Mostafa |
| contents | We consider a quantum system described by a quantum channel $Φ$ that is applied at every time step and study the time evolution of its information capacities. When $Φ$ is a GNS-symmetric channel (this includes Pauli channels, for example), we give explicit exponential convergence bounds for the classical and quantum capacities. These bounds are in terms of entropic properties of $Φ$. We further illustrate how these results help quantify the performance of active versus passive error-correction setups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15953 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels Fawzi, Omar Gao, Li Rahaman, Mizanur Taheri, Mostafa Quantum Physics Mathematical Physics Operator Algebras We consider a quantum system described by a quantum channel $Φ$ that is applied at every time step and study the time evolution of its information capacities. When $Φ$ is a GNS-symmetric channel (this includes Pauli channels, for example), we give explicit exponential convergence bounds for the classical and quantum capacities. These bounds are in terms of entropic properties of $Φ$. We further illustrate how these results help quantify the performance of active versus passive error-correction setups. |
| title | Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels |
| topic | Quantum Physics Mathematical Physics Operator Algebras |
| url | https://arxiv.org/abs/2605.15953 |