A pathwise ergodic theorem for quantum trajectories
From MaRDI portal
Publication:4653029
DOI10.1088/0305-4470/37/49/008zbMath1063.82021arXivquant-ph/0406213OpenAlexW2057896912MaRDI QIDQ4653029
Hans Maassen, Burkhard Kümmerer
Publication date: 28 February 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/0406213
Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Stochastic integral equations (60H20)
Related Items
Markov properties of partially open quantum random walks, Markovian repeated interaction quantum systems, On the relationship between a quantum Markov semigroup and its representation via linear stochastic Schrödinger equations, On entropy production of repeated quantum measurements. II: Examples, Central limit theorem and large deviation principle for continuous time open quantum walks, Passage times, exit times and Dirichlet problems for open quantum walks, On entropy production of repeated quantum measurements. I. General theory, Homogeneous open quantum random walks on a lattice, Invariant measure for quantum trajectories, Limit theorems for quantum trajectories, Explicit expressions for stationary states of the Lindblad equation for a finite state space, Concentration inequalities for output statistics of quantum Markov processes, Repeated quantum non-demolition measurements: convergence and continuous time limit, Invariant measure for stochastic Schrödinger equations, Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory, Central limit theorems for open quantum random walks on the crystal lattices, Open quantum random walks: reducibility, period, ergodic properties, Central limit theorems for open quantum random walks and quantum measurement records, Absorption in invariant domains for semigroups of quantum channels, Quantum field theory of classically unstable Hamiltonian dynamics, Mean hitting times of quantum Markov chains in terms of generalized inverses, On asymptotic stability of quantum trajectories and their Cesaro mean, Can the macroscopic fluctuation theory be quantized?