Sanov and central limit theorems for output statistics of quantum Markov chains
From MaRDI portal
Publication:5178197
DOI10.1063/1.4907995zbMath1318.81045arXiv1407.5082OpenAlexW1983437059MaRDI QIDQ5178197
Madalin I. Guta, Merlijn van Horssen
Publication date: 13 March 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.5082
Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15)
Related Items
On a generalized central limit theorem and large deviations for homogeneous open quantum walks ⋮ Linear response theory and entropic fluctuations in repeated interaction quantum systems ⋮ Limit theorems for quantum trajectories ⋮ Concentration inequalities for output statistics of quantum Markov processes ⋮ Quantum estimation via sequential measurements ⋮ Asymptotic and non-asymptotic analysis for a hidden Markovian process with a quantum hidden system ⋮ On the properties of partially open quantum random walk on \(\mathbb{Z}^d\)
Cites Work
- Large deviations for a general class of random vectors
- From repeated to continuous quantum interactions
- Large deviations for quantum spin systems
- Large deviations in quantum spin chains
- Large deviations techniques and applications.
- Finitely correlated states on quantum spin chains
- A remark on the connection between the large deviation principle and the central limit theorem
- Equivalence classes and local asymptotic normality in system identification for quantum Markov chains
- A quantum version of Sanov's theorem
- Typical support and Sanov large deviations of correlated states
- QUANTUM HYPOTHESIS TESTING AND NON-EQUILIBRIUM STATISTICAL MECHANICS
- Large deviations and Chernoff bound for certain correlated states on a spin chain
- Error exponents in hypothesis testing for correlated states on a spin chain
- A Convexity Property in the Theory of Random Variables Defined on a Finite Markov Chain
- Asymptotic evaluation of certain Markov process expectations for large time—III
- On Large Deviations from the Invariant Measure
- Spectral Properties of Positive Maps on C* -Algebras
- An overview of the theory of large deviations and applications to statistical mechanics
- A Quantum Version of Wielandt's Inequality
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
- Large deviations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Sanov and central limit theorems for output statistics of quantum Markov chains
