Quantum delocalization on correlation landscape: The key to exponentially fast multipartite entanglement generation
arxiv(2024)
摘要
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.
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