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Explore a quantum-classical hybrid algorithm designed to prepare long-range entangled quantum states using Local Operations and Classical Communication (LOCC) protocols in this 18-minute conference presentation. Learn how this innovative approach addresses the experimental challenges of preparing long-range entangled states, which typically require deep unitary circuits that are difficult to implement in practice. Discover how the proposed method replaces some quantum resources with classical communication of mid-circuit measurement outcomes between distant subsystems, significantly reducing circuit depth while maintaining the ability to create important quantum states like topological orders and quantum error correction codes. Understand the theoretical foundations that ensure trainability at large system sizes by establishing conditions for avoiding barren plateaus in the optimization landscape. Examine numerical demonstrations showing accurate ground state preparation for challenging long-range entangled models including perturbed Greenberger-Horne-Zeilinger states and surface codes. Compare the practical advantages in ground state energy estimation accuracy and theoretical benefits for long-range entanglement creation over conventional unitary variational circuits. Gain insights into the efficient gradient estimation techniques and variational optimization methods that make this quantum-classical hybrid approach viable for real-world quantum computing applications.
