Lieb–Robinson Bounds and Entanglement Limits in Quantum Dynamics with Finite-Dimensional Memory

Author: Jeet Mozumdar

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DOI (Zenodo): https://doi.org/10.5281/zenodo.19842970

ORCID: https://orcid.org/0009-0005-4371-2416


Abstract

This work extends Lieb–Robinson bounds to discrete-time quantum dynamics with finite-dimensional memory subsystems on each bond. Exponential bounds on correlation propagation are derived, establishing an effective finite velocity for information spreading in non-Markovian quantum systems.


Keywords

quantum information theory, entanglement, Lieb-Robinson bounds, non-Markovian dynamics, quantum networks, open quantum systems, many-body physics


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