We show that quantum information scrambling can enable a generic swap gate between collective degrees of freedom in systems without universal local control. Our protocol combines a Hayden-Preskill type recovery scheme, associated with the black hole information paradox, with quantum teleportation and runs them in parallel and in opposite directions, enabling bidirectional exchange of quantum states through global interactions alone. This approach cleanly distinguishes the roles of information spreading, entanglement, and chaos for enabling both coherent state transfer and recovery. We propose an experimental realization using the Dicke model, which can be realized in optical cavity and trapped-ion platforms, highlighting the utility of holography in designing practical quantum gates.

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• Entanglement production
• Information scrambling
• Quantum information with trapped ions
• Quantum teleportation
• Dicke model
• Random matrix theory