Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels

• URL: http://arxiv.org/abs/2605.15953v1
• Date: Fri, 15 May 2026 13:44:26 GMT
• Title: Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels
• Abstract summary: We consider a quantum system described by a quantum channel $$ that is applied at every time step.<n>When $$ is a GNS-symmetric channel, we give explicit exponential convergence bounds for the classical and quantum capacities.
• Score: 18.44276147549338
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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