The Inner Limit of Quantum Brownian Evolution and its Relevance to Positivity
Allan Tameshtit
Abstract
The conventional quantum Brownian propagator, which describes the evolution of a system of interest bilinearly coupled to and initially uncorrelated with a reservoir, does not preserve positivity of density operators, prompting workers to modify the propagator by the ad hoc addition of time-independent terms to the corresponding generator. We show that no such terms need be added to the generator to preserve positivity provided one accounts for the rapid entanglement of the system of interest and the reservoir on a time scale too short for the conventional propagator to be valid.
Create a lesson
Related papers
Gaussian entanglement and quantum communication: geodesic optimization and multimode bounds
Hemant K. Mishra, Mark M. Wilde
On the coincidence of discrete and continuous definitions of Entanglement of Formation
Haobo Ma, Maksim E. Shirokov, Wenlin Zhang
EFI1PRS
Rishabh Batra
Relative-Entropy Geometry and Convergence in Nonconvex Wiretap Optimization
Farzin Salek, Masahito Hayashi
Deterministic and programmable generation of mechanical multipartite entangled states
Isabelle Franzen, Max-Emanuel Kern, Q. Rumman Rahman et al.
Quantum-enhanced mechanical sensing with machine-learning estimation
Finn Müßigbrodt, Andraž Omahen, Q. Rumman Rahman et al.