FINALIST: Many-body quantum information dynamics

Modern atomic, molecular, and optical experiments can access large-scale quantum phenomena that push the boundaries of both physics and computation. These raise crucial questions: What new physics can be realized, and with what new protocols can we probe them? How do these persist with decoherence or limited experimental control? In this talk, I will show that the dynamics of quantum information provide a unifying lens for understanding the capabilities, and limitations, of this new era of quantum science. I will begin by introducing a simple framework to predict the propagation of noise in quantum simulators, based on how local information spreads under quantum dynamics. Our framework provides a potential explanation for a long line of nuclear magnetic resonance experiments on the many-body Loschmidt echo. I will then show how the same physics underlies a starkly different phenomena: an intrinsically many-body generalization of quantum teleportation, that can experimentally probe whether a quantum Hamiltonian has a gravitational dual. Melding these topics, I will describe trapped ion and superconducting experiments that leverage such teleportation to robustly verify information spreading in the presence of noise. I will conclude by looking forward, and discuss how such experiments allow one to learn more about quantum systems in nature than is possible with traditional protocols, with potential applications in Hamiltonian learning and quantum-enhanced sensing with solid-state spin defects.

*Ph.D. completed at the University of California, Berkeley with advisor Norman Y. Yao.