Capacities of quantum Markovian noise for large times - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Capacities of quantum Markovian noise for large times

Résumé

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.
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Dates et versions

hal-04844850 , version 1 (18-12-2024)

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Omar Fawzi, Mizanur Rahaman, Mostafa Taheri. Capacities of quantum Markovian noise for large times. 2024. ⟨hal-04844850⟩
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