# OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT

@article{Benatti2005OPENQD, title={OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT}, author={Fabio Benatti and Roberto Floreanini}, journal={International Journal of Modern Physics B}, year={2005}, volume={19}, pages={3063-3139} }

We review the standard treatment of open quantum systems in relation to quantum entanglement, analyzing, in particular, the behavior of bipartite systems immersed in the same environment. We first focus upon the notion of complete positivity, a physically motivated algebraic constraint on the quantum dynamics, in relation to quantum entanglement, i.e. the existence of statistical correlations which can not be accounted for by classical probability. We then study the entanglement power of heat…

## 62 Citations

Generation and evolution of entanglement in open quantum dynamics

- Physics
- 2010

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, a description of the continuous-variable entanglement for a system consisting of two…

Entanglement and mixedness in open systems with continuous variables*

- Mathematics
- 2010

Within the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the dynamics of entanglement for a system consisting of two…

Entanglement dynamics of two-mode Gaussian states in a thermal environment

- Physics
- 2009

Within the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous variable entanglement for a system consisting of…

Decoherence and asymptotic entanglement in open quantum dynamics

- Physics
- 2007

Within the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we determine the degree of quantum decoherence of a harmonic oscillator interacting with…

Quantum entanglement of two-mode continuous variable states in a thermal reservoir

- PhysicsROMOPTO International Conference on Micro- to Nano- Photonics
- 2009

Using the theory of open systems based on completely positive quantum dynamical semigroups, we describe the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators…

Classical evolution in quantum systems

- PhysicsPhysica Scripta
- 2020

We investigate quantum effects in the evolution of general systems. For studying such temporal quantum phenomena, it is paramount to have a rigorous concept and profound understanding of the…

Entropy-Driven Dynamics of Open Quantum Systems

- Physics
- 2017

The quantum computer promises to be superior to its classical counterpart for a vast amount of complex problems. The range of potential applications includes database search, prime number…

Quantum-enhanced measurements without entanglement

- PhysicsReviews of Modern Physics
- 2018

Quantum-enhanced measurements exploit quantum mechanical effects for increasing the sensitivity of measurements of certain physical parameters and have great potential for both fundamental science…

Entanglement dynamics in a Kerr spacetime

- Physics
- 2018

We consider the entanglement dynamics between two-level atoms in a rotating black-hole background. In our model the two-atom system is envisaged as an open system coupled with a massless scalar field…

Evolution Equations for Quantum Semi-Markov Dynamics

- MathematicsEntropy
- 2020

This work analyzes the emergence of a dephasing term when moving from one type of master equation to the other, and concludes that such an approximation always leads to a Markovian evolution for the considered class of dynamics.

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