Quantum delocalization on correlation landscape: The key to exponentially fast multipartite entanglement generation

TL;DR

This paper introduces a new framework linking quantum delocalization in correlation landscapes to the rapid generation of large-scale multipartite entanglement, crucial for advancing quantum technologies.

Contribution

It establishes a novel connection between entanglement dynamics and operator delocalization in Krylov space, demonstrated through the Lipkin-Meshkov-Glick model and chaotic systems.

Findings

Exponential entanglement growth correlates with operator delocalization.

Quantum Fisher information witnesses rapid multipartite entanglement.

Framework applies to complex quantum systems like chaotic tops.

Abstract

Entanglement, a hallmark of quantum mechanics, is a vital resource for quantum technologies. Generating highly entangled multipartite states is a key goal in current quantum experiments. We unveil a novel framework for understanding entanglement generation dynamics in Hamiltonian systems by quantum delocalization of an effective operator wavefunction on a correlation landscape. Our framework establishes a profound connection between the exponentially fast generation of multipartite entanglement, witnessed by the quantum Fisher information, and the linearly increasing asymptotics of hopping amplitudes governing the delocalization dynamics in Krylov space. We illustrate this connection using the paradigmatic Lipkin-Meshkov-Glick model and highlight potential signatures in chaotic Feingold-Peres tops. Our results provide a transformative tool for understanding and harnessing rapid entanglement production in complex quantum systems, providing a pathway for quantum enhanced technologies by large-scale entanglement.