Memory effects displayed in the evolution of continuous variable system
Samaneh Hesabi, Anindita Bera, and Dariusz Chru\'sci\'nski
TL;DR
This paper investigates non-Markovian memory effects in quantum harmonic oscillators interacting with a bath, analyzing how fidelity, entropy, and entanglement evolve over time for Gaussian states.
Contribution
It provides a detailed analysis of memory effects in continuous variable quantum systems using quantum Brownian motion models, focusing on Gaussian states.
Findings
Memory effects influence the evolution of quantum states
Fidelity and entanglement exhibit non-Markovian dynamics
Quantitative measures of non-Markovianity are analyzed
Abstract
We analyze non-Markovian memory effects displayed by the quantum Brownian motion modelled as quantum harmonic oscillators coupled to a bath consisting of harmonic oscillators. We study the time evolution of fidelity, Petz-R\'enyi relative entropy and quantum entanglement for a family of 1-, 2- and 3-mode Gaussian states.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNeural Networks and Applications · Evolutionary Algorithms and Applications