2011 **Abstract:** Quantum Information is a new area of research which has been growing rapidly since last decade. This topic is very close to potential applications to the so called Quantum Computer. In our point of view it makes sense to develop a more "dynamical point of view" of this theory. We want to consider the concepts of entropy and pressure for "stationary systems" acting on density matrices which generalize the usual ones in Ergodic Theory (in the sense of the Thermodynamic Formalism of R. Bowen, Y. Sinai and D. Ruel…

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“…This definition is a generalization of the analogous concept presented on the papers [6], [8] and [7].…”

confidence: 99%

“…This definition is a generalization of the analogous concept presented on the papers [6], [8] and [7].…”

confidence: 99%

“…Example 8.5 in section 8 (related to Markov Chains) will show that our definition is a natural extension of the classical concept of entropy. We point out that the definition of entropy we will consider here is a generalization of the concept described on the papers [6], [8] and [7]. This particular way of defining entropy is inspired by results of [25] which consider iterated function systems.…”

confidence: 99%

“…This shows that the concept that was introduced is natural. This definition of entropy is a generalization of the concept described on the papers [6], [8] and [7]. This particular way of defining entropy is in some sense inspired by results of [26] which considers iterated function systems.…”

confidence: 99%