On entropy production of repeated quantum measurements. I. General theory
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Publication:2413041
DOI10.1007/s00220-017-2947-1zbMath1393.81008arXiv1607.00162OpenAlexW3101484359MaRDI QIDQ2413041
Claude-Alain Pillet, Vojkan Jakšić, Tristan Benoist, Yan Pautrat
Publication date: 6 April 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.00162
large deviation principleentropy productionfluctuation theoremarrow of timerepeated quantum measurements
Large deviations (60F10) Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17)
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Cites Work
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- Indirect acquisition of information in quantum mechanics
- A ``garden of forking paths - the quantum mechanics of histories of events
- Entropic fluctuations in thermally driven harmonic networks
- Sub-additive pressure on a Borel set
- Equilibrium states of the pressure function for products of matrices
- The pressure function for products of non-negative matrices.
- Dimension and measures on sub-self-affine sets
- Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices
- The thermodynamic formalism for sub-additive potentials
- Quantum trajectories and measurements in continuous time. The diffusive case
- Continuity of subadditive pressure for self-affine sets
- Un théorème ergodique presque sous-additif. (An almost subadditive ergodic theorem)
- Non-Markovian quantum stochastic processes and their entropy
- Finitely correlated states on quantum spin chains
- On measures of information and their characterizations
- ``Non-Gibbsian states and their Gibbs description
- Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
- The fluctuation theorem as a Gibbs property
- A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
- Lyapunov exponents for products of matrices and multifractal analysis. I: Positive matrices
- Dynamical ensembles in stationary states.
- Time-reversal and entropy
- Large deviations and a fluctuation symmetry for chaotic homeomorphisms
- Repeated quantum non-demolition measurements: convergence and continuous time limit
- Entropic fluctuations of quantum dynamical semigroups
- Quantum measurements of scattered particles
- On entropy production of repeated quantum measurements. I. General theory
- Quantum information theory and quantum statistics.
- The physical basis of the direction of time.
- Probability of second law violations in shearing steady states
- Statistical Structure of Quantum Theory
- Quantum Theory: A Two-Time Success Story
- QUANTUM HYPOTHESIS TESTING AND NON-EQUILIBRIUM STATISTICAL MECHANICS
- Quantum Bochkov–Kuzovlev work fluctuation theorems
- ALMOST ADDITIVE THERMODYNAMIC FORMALISM: SOME RECENT DEVELOPMENTS
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Entropic fluctuations in statistical mechanics: I. Classical dynamical systems
- QUANTUM MEASUREMENTS, INFORMATION AND ENTROPY PRODUCTION
- Almost-additive thermodynamic formalism for countable Markov shifts
- Multifractal analysis of the irregular set for almost-additive sequences via large deviations
- Course 15 Gibbsianness and non-gibbsianness in lattice random fields
- Introduction to (generalized) Gibbs measures
- Quantum Measurement and Control
- Some systems with unique equilibrium states
- Spectral Properties of Positive Maps on C* -Algebras
- Fluctuation theorem for stochastic dynamics
- An ergodic theorem for quantum counting processes
- A pathwise ergodic theorem for quantum trajectories
- An Open Systems Approach to Quantum Optics
- The variational principle for products of non-negative matrices
- Thermodynamic Formalism
- Sub-Self-Similar Sets
- Lectures on Entropy. I: Information-Theoretic Notions
- Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction
- Fluctuations in nonequilibrium statistical mechanics: models, mathematical theory, physical mechanisms
- The Problem of Measurement
- State Constraints in Convex Control Problems of Bolza
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Large deviations
- Quantum measurement and entropy production
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