Jader E. Brasil

activity

20182022

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Showing 2019Show all

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math.DS2019

Lyapunov exponents for Quantum Channels: an entropy formula and generic properties

Jader E. Brasil, Josue Knorst, Artur O. Lopes

We denote by $M_{k}$ the set of $k$ by $k$ matrices with complex entries. We consider quantum channels $ϕ_{L}$ of the form: given a measurable function $L : M_{k} \to M_{k}$ and a measure $μ$ …

math.DS2019

Thermodynamic Formalism for Quantum Channels: Entropy, Pressure, Gibbs channels and generic properties

Jader E. Brasil, Josue Knorst, Artur O. Lopes

Denote $M_{k}$ the set of complex $k$ by $k$ matrices. We will analyze here quantum channels $ϕ_{L}$ of the following kind: given a measurable function $L : M_{k} \to M_{k}$ and the measure $…