Kavli Affiliate: Michael McDonald
| First 5 Authors: Ben W. Reichardt, Adam Paetznick, David Aasen, Ivan Basov, Juan M. Bello-Rivas
| Summary:
Transitioning from quantum computation on physical qubits to quantum
computation on encoded, logical qubits can improve the error rate of
operations, and will be essential for realizing valuable quantum computational
advantages. Using a neutral atom quantum processor with 256 qubits, each an
individual Ytterbium atom, we demonstrate the entanglement of 24 logical qubits
using the distance-two [[4,2,2]] code, simultaneously detecting errors and
correcting for lost qubits. We also implement the Bernstein-Vazirani algorithm
with up to 28 logical qubits encoded in the [[4,1,2]] code, showing
better-than-physical error rates. We demonstrate fault-tolerant quantum
computation in our approach, guided by the proposal of Gottesman (2016), by
performing repeated loss correction for both structured and random circuits
encoded in the [[4,2,2]] code. Finally, since distance-two codes can correct
qubit loss, but not other errors, we show repeated loss and error correction
using the distance-three [[9,1,3]] Bacon-Shor code. These results begin to
clear a path for achieving scientific quantum advantage with a programmable
neutral atom quantum processor.
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