학술논문
Benchmarking logical three-qubit quantum Fourier transform encoded in the Steane code on a trapped-ion quantum computer
Document Type
Working Paper
Author
Mayer, Karl; Ryan-Anderson, Ciarán; Brown, Natalie; Durso-Sabina, Elijah; Baldwin, Charles H.; Hayes, David; Dreiling, Joan M.; Foltz, Cameron; Gaebler, John P.; Gatterman, Thomas M.; Gerber, Justin A.; Gilmore, Kevin; Gresh, Dan; Hewitt, Nathan; Horst, Chandler V.; Johansen, Jacob; Mengle, Tanner; Mills, Michael; Moses, Steven A.; Siegfried, Peter E.; Neyenhuis, Brian; Pino, Juan; Stutz, Russell
Source
Subject
Language
Abstract
We implement logically encoded three-qubit circuits for the quantum Fourier transform (QFT), using the [[7,1,3]] Steane code, and benchmark the circuits on the Quantinuum H2-1 trapped-ion quantum computer. The circuits require multiple logical two-qubit gates, which are implemented transversally, as well as logical non-Clifford single-qubit rotations, which are performed by non-fault-tolerant state preparation followed by a teleportation gadget. First, we benchmark individual logical components using randomized benchmarking for the logical two-qubit gate, and a Ramsey-type experiment for the logical $T$ gate. We then implement the full QFT circuit, using two different methods for performing a logical control-$T$, and benchmark the circuits by applying it to each basis state in a set of bases that is sufficient to lower bound the process fidelity. We compare the logical QFT benchmark results to predictions based on the logical component benchmarks.