Capacities of Quantum Markovian Noise for Large Times
Abstract
Given a quantum Markovian noise model, we study the maximum dimension of a classical or quantum system that can be stored for arbitrarily large time. We show that, unlike the fixed time setting, in the limit of infinite time, the classical and quantum capacities are characterized by efficiently computable properties of the peripheral spectrum of the quantum channel. In addition, the capacities are additive under tensor product, which implies in the language of Shannon theory that the one-shot and the asymptotic i.i.d. capacities are the same. We also provide an improved algorithm for computing the structure of the peripheral subspace of a quantum channel, which might be of independent interest.
Fields of Study & Subjects
Quantum Computing Algorithms and Architecture
Advanced Queuing Theory Analysis
Quantum Information and Cryptography
Publication details
- Journal / source
- IEEE Transactions on Information Theory
- Volume
- 72
- Issue
- 9
- Pages
- 6715–6727
- Publication date
- 26 June 2026
- Language
- EN