Special Kadanoff Lunch Seminar: Tsung-Cheng Lu, Perimeter Institute

Long-range entangled quantum matter encompasses various exotic quantum orders and critical phenomena. In this talk, I will discuss novel adaptive protocols that can efficiently prepare long-range entangled states by leveraging measurements and unitary operations conditioned on the measurement outcomes. As an application, critical states and non-abelian topological orders can be prepared deterministically in time/depth scaling logarithmically with system size. I will also discuss a unified framework for designing adaptive protocols that implement non-local transformations to realize long-range entangled mixed states, where quantum order/criticality coexists with extensive classical fluctuations. Finally, I will discuss how to diagnose long-range entanglement in open quantum systems, and discuss the insights into self-correcting quantum memory and decoding transitions of quantum error-correcting codes.

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