# The Theory of Open Quantum Systems

@inproceedings{Breuer2002TheTO, title={The Theory of Open Quantum Systems}, author={H. P. Breuer and Francesco Petruccione}, year={2002} }

PREFACE ACKNOWLEDGEMENTS PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS 1. Classical probability theory and stochastic processes 2. Quantum Probability PART 2: DENSITY MATRIX THEORY 3. Quantum Master Equations 4. Decoherence PART 3: STOCHASTIC PROCESSES IN HILBERT SPACE 5. Probability distributions on Hilbert space 6. Stochastic dynamics in Hilbert space 7. The stochastic simulation method 8. Applications to quantum optical systems PART 4: NON-MARKOVIAN QUANTUM PROCESSES 9. Projection…

## 4,558 Citations

Theoretical foundations of quantum information processing and communication : selected topics

- Physics
- 2010

An Introduction to Quantum Probability.- Covariant Mappings for the Description of Measurement, Dissipation and Decoherence in Quantum Mechanics.- Quantum Open Systems with Time-Dependent Control.-…

Open Quantum Systems and Decoherence

- Physics
- 2014

The concept of decoherence in quantum systems is discussed, the description of Markovian dynamics of open quantum systems, including simulations with quantum jumps, are addressed, and some of these concepts are extended to a certain type of non-Markovan dynamics that can arise in quantum Systems which are coupled to some environment possessing nontrivial spectral structure.

Communication: quantum dynamics in classical spin baths.

- PhysicsThe Journal of chemical physics
- 2013

A formalism for studying the dynamics of quantum systems embedded in classical spin baths based on generalized antisymmetric brackets and predicts the presence of open-path off-diagonal geometric phases in the evolution of the density matrix.

Perturbative approach to Markovian open quantum systems

- PhysicsScientific reports
- 2014

This work presents a perturbative treatment of Markovian open quantum systems which will be useful for an analytical understanding ofopen quantum systems and for numerical calculation of system observables which would otherwise be impractical.

Correlation Functions in Open Quantum-Classical Systems

- PhysicsEntropy
- 2014

This work presents a general scheme for the computation of correlation functions, which preserves the full quantum equilibrium structure of the system and approximates the time evolution with quantum-classical Liouville dynamics.

Quantum semi-Markov processes.

- Physics, MathematicsPhysical review letters
- 2008

We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the…

State space distribution and dynamical flow for closed and open quantum systems

- PhysicsThe Journal of Chemical Physics
- 2019

We present a general formalism for studying the effects of dynamical heterogeneity in open quantum systems. We develop this formalism in the state space of density operators, on which ensembles of…

Non-Markovian generalization of the Lindblad theory of open quantum systems

- Physics
- 2007

A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with…

Geometry of quantum states: an introduction to quantum entanglement by Ingemar Bengtsson and Karol Zyczkowski

- PhysicsQuantum Inf. Comput.
- 2008

The goal of this book is to clarify the role of quantum entanglement in the study of convexity, colours and statistics and to show how this role has changed in the history of science.