Quantum Delocalization on Correlation Landscape: The Key to Exponentially Fast Multipartite Entanglement Generation

Area of Science:

• Quantum mechanics
• Quantum information science
• Quantum technologies

Background:

• Entanglement is crucial for quantum technologies.
• Generating highly entangled multipartite states is a key experimental goal.
• Understanding entanglement generation dynamics is essential for advancing quantum systems.

Purpose of the Study:

• To introduce a novel framework for analyzing entanglement generation dynamics in Hamiltonian systems.
• To establish a connection between rapid multipartite entanglement generation and operator delocalization.
• To provide a tool for understanding and harnessing entanglement production in complex quantum systems.

Main Methods:

• Utilizing quantum delocalization of an effective operator wave function on a correlation landscape.
• Analyzing entanglement generation dynamics through the lens of Krylov space.
• Employing the quantum Fisher information to witness multipartite entanglement generation.
• Illustrating the framework with the Lipkin-Meshkov-Glick model.

Main Results:

• A profound connection is established between exponentially fast entanglement generation and linearly increasing hopping amplitudes in delocalization dynamics.
• The quantum Fisher information quantifies the rapid generation of multipartite entanglement.
• The framework reveals insights into entanglement dynamics governed by operator delocalization in Krylov space.

Conclusions:

• The developed framework offers a transformative tool for understanding and harnessing rapid entanglement production.
• This work provides a pathway for developing quantum enhanced technologies through large-scale entanglement.
• The findings are applicable to complex quantum systems, including chaotic Feingold-Peres tops.