GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS
From MaRDI portal
Publication:3421836
DOI10.1142/S0219025706002548zbMath1115.46055MaRDI QIDQ3421836
Skander Hachicha, Luigi Accardi, Franco Fagnola
Publication date: 8 February 2007
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Continuous-time Markov processes on discrete state spaces (60J27) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)
Related Items (24)
Structure of generic quantum Markov semigroup ⋮ Decomposition and Classification of Generic Quantum Markov Semigroups: The Gaussian Gauge Invariant Case ⋮ On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrödinger equations ⋮ GKSL generators and digraphs: computing invariant states ⋮ On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type ⋮ Support projection of state and a quantum Lévy–Austin–Ornstein theorem ⋮ Decoherence free subspaces of a quantum Markov semigroup ⋮ On quantum versions of the classical Wasserstein distance ⋮ Quantum Markov semigroup for open quantum system interacting with quantum Bernoulli noises ⋮ Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions ⋮ Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises ⋮ Detailed balance, time reversal, and generators of quantum Markov semigroups ⋮ Supercritical Poincaré-Andronov-Hopf bifurcation in a mean-field quantum laser equation ⋮ GENERIC QUANTUM MARKOV SEMIGROUPS, CYCLE DECOMPOSITION AND DEVIATION FROM EQUILIBRIUM ⋮ On the asymptotic behavior of generic quantum Markov semigroups ⋮ Generic Quantum Markov Semigroups: the Gaussian Gauge Invariant Case ⋮ On the range of the generator of a quantum Markov semigroup ⋮ MAXIMAL COMMUTATIVE SUBALGEBRAS INVARIANT FOR CP-MAPS: (COUNTER-)EXAMPLES ⋮ Structure of uniformly continuous quantum Markov semigroups ⋮ The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups ⋮ A quantum Laguerre semigroup ⋮ A characterization of quantum Markov semigroups of weak coupling limit type ⋮ A Wasserstein-type Distance to Measure Deviation from Equilibrium of Quantum Markov Semigroups ⋮ A mean-field laser quantum master equation
Cites Work
- The weak coupling limit as a quantum functional central limit
- Sufficient conditions for conservativity of minimal quantum dynamical semigroups
- Quantum ground–state computation with kinematical gates
- The Approach to Equilibrium of a Class of Quantum Dynamical Semigroups
- Entanglement, quantum entropy and mutual information
- A Stochastic Limit Approach to the SAT Problem
- HILLE–YOSIDA ESTIMATE AND NONCONSERVATIVITY CRITERIA FOR QUANTUM DYNAMICAL SEMIGROUPS
- Generic Quantum Markov Semigroups: the Fock Case
- Exponential \(L_2\)-convergence of quantum Markov semigroups on \({\mathcal B}(h)\)
This page was built for publication: GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS