A Dynamical Point of View of Quantum Information: Entropy and Pressure
DOI10.1007/978-3-642-11456-4_7zbMath1253.37040arXiv1104.2868OpenAlexW2165365120MaRDI QIDQ2908419
Alexandre Baraviera, Artur Oscar Lopes, M. O. Terra Cunha, Carlos F. Lardizabal
Publication date: 5 September 2012
Published in: Springer Proceedings in Mathematics, Dynamics, Games and Science I (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.2868
density matricespressureHilbert spacesthermodynamic formalismquantum computationKolmogorov-Sinai entropy
Applications of statistics in engineering and industry; control charts (62P30) Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to probability theory (60-06) Proceedings, conferences, collections, etc. pertaining to game theory, economics, and finance (91-06) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory (37-06) Proceedings, conferences, collections, etc. pertaining to systems and control theory (93-06) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Game theory (91Axx) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Applications of dynamical systems (37Nxx) Model systems in control theory (93Cxx) Special processes (60Kxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum stochastic processes, quantum iterated function systems and entropy
- Equivalence of additivity questions in quantum information theory
- Entropy and variational principles for holonomic probabilities of IFS
- KMS states, entropy, and a variational principle for pressure
- Choquet order and simplices with applications in probabilistic models
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Symplectic geometry and quantum mechanics
- Dynamics, information and complexity in quantum systems
- Affine maps of density matrices
- Entropy and large deviation
- General formulas for capacity of classical-quantum channels
- A Thermodynamic Formalism for Density Matrices in Quantum Information
- An analogy of the charge distribution on Julia sets with the Brownian motion
- Quantum chaos: An entropy approach
- Geometry of Quantum States
- A Variational Characterization of Finite Markov Chains
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
- Mathematical concepts of quantum mechanics.
