B Grade B

Quantinuum H2: Logical error rate

1 × 10⁻⁵ error per circuit

As stated in the source: “0.001% logical error rate (vs 0.8% physical), about 800x lower”

Caveats

Relies on post-selection (error detection); about 30% of runs discarded. With pre-selection only, logical error rate was 0.17% (4.7x lower). Single-circuit error rate, not a per-cycle rate. Preprint; no journal reference listed on arXiv. This is an error per whole circuit with pre- and post-selection, not per correction cycle.

Set-up
Two pairs of logical qubits (4 logical qubits) entangled with the [[12,2,4]] code; pre-selection kept 15,483 of 22,000 runs, post-selection kept 15,409
Method
Carbon [[12,2,4]] CSS code, logical Bell-state preparation with pre- and post-selection
Compared only with
results in the group “carbon code bell postselected”
Measured
Not stated
Published
2 April 2024
Measured by
Microsoft and Quantinuum (joint author team)
Independent of the maker
No
Peer-reviewed
No
Repeated by others
Not yet

Source

Demonstration of logical qubits and repeated error correction with better-than-physical error rates, arXiv. Preprint. DOI: 10.48550/arXiv.2404.02280

History

Spotted a mistake? Report an error, quoting r-000024.