Capacities of quantum Markovian noise for large times

Autor:	Fawzi, Omar, Rahaman, Mizanur, Taheri, Mostafa
Rok vydání:	2024
Předmět:	Quantum Physics Mathematical Physics Mathematics - Operator Algebras
Druh dokumentu:	Working Paper
Popis:	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. Comment: Preliminary version, comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.00116 Zobrazit plný text záznamu View this record from Arxiv