This paper demonstrates the deterministic preparation of long-range entangled quantum states using mid-circuit measurement and feed-forward on Quantinuum's H1 trapped ion quantum computer. A constant-depth procedure creates a toric code ground state, achieving high stabilizer fidelities and creating a non-Abelian defect confirmed by anyon transmutation via braiding. This work paves the way for creating complex topological orders and exploring deterministic non-unitary dynamics.
Publisher
Communications Physics
Published On
Jun 25, 2024
Authors
Mohsin Iqbal, Nathanan Tantivasadakarn, Thomas M. Gatterman, Justin A. Gerber, Kevin Gilmore, Dan Gresh, Aaron Hankin, Nathan Hewitt, Chandler V. Horst, Mitchell Matheny, Tanner Mengle, Brian Neyenhuis, Ashvin Vishwanath, Michael Foss-Feig, Ruben Verresen, Henrik Dreyer
Tags
quantum states
entanglement
topological order
non-Abelian defect
mid-circuit measurement
toric code
anyons
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