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The combination of entanglement, measurement, and classical communication allows the teleportation of quantum states between distant parties. In this talk, I will study the transfer of correlations and entanglement in many-body wavefunctions under imperfect teleportation protocols, specifically focusing on the ground state of a critical Ising chain. I will show that imperfections act as weak measurements on the teleported critical state. Leveraging the theory of measurement-altered quantum criticality, I can quantify the resilience of critical-state teleportation. Our findings identify classes of teleportation protocols that either maintain universal long-range entanglement and correlations, weakly modify them, or preserve power-law correlations while eliminating long-range entanglement.

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Sara Murciano, Caltech
Seminar Room 0.03, ETP
Contact: Guo-Yi Zhu