High-fidelity teleportation of a logical qubit using transversal gates and lattice surgery
Ciarán Ryan-Anderson, Natalie C. Brown, Charles H. Baldwin, Joan Dreiling, C. B. Foltz, John Gaebler, Thomas M. Gatterman, Nathan Hewitt, C. A. Holliman, Chandler V. Horst, Jacob Johansen, Dominic Lucchetti, Tanner Mengle, Mitchell Matheny, Y. Matsuoka, Karl Mayer, Michael Mills, Steven A. Moses, B. Neyenhuis, Juan Miguel Rey Pino, Peter Siegfried, Russell Stutz, J. Walker, David Hayes
Abstract
Quantum state teleportation is commonly used in designs for large-scale quantum computers. Using Quantinuum's H2 trapped-ion quantum processor, we demonstrate fault-tolerant state teleportation circuits for a quantum error correction code-specifically the Steane code. The circuits use up to 30 qubits at the physical level and employ real-time quantum error correction. We conducted experiments on several variations of logical teleportation circuits using both transversal gates and lattice surgery. We measured the logical process fidelity to be 0.975 ± 0.002 for the transversal teleportation implementation and 0.851 ± 0.009 for the lattice surgery teleportation implementation as well as 0.989 ± 0.002 for an implementation of Knill-style quantum error correction.