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40-ion Ba-133 qLDPC testbed (IonQ: a Tempo engineering test system)

IonQ

40-ion Ba-133 qLDPC testbed (IonQ: a Tempo engineering test system)

IonQ · trapped ions · DEMONSTRATED (Jun 2026) · 40 physical qubits · access: lab-only

Register profile — the machine's variant of its architecture

qubit type: Ba-133 hyperfine
gate mechanism: laser Molmer-Sorensen
connectivity: all-to-all through the chain's motional bus
control: room-temperature electronics + free-space laser addressing
control placement: room-temp + free-space optics
readout: fluorescence
gate evidence: no published figure
decoder mode: offline — syndromes decoded after the run
codes: generalized_bicycle, qcga, rotated_surface, stab_16_4_4, stab_4_2_2, toric
flags: code params inferred, post-selection dominates the result

Technologies by layer — the machine's cell per layer

1 Qubit carrier
Trapped atomic ion · primary ▣ Fig. 1 (ion trap, Raman beams steered by AODs) ✅
40 ¹³³Ba⁺ ions in one stationary chain; physical coherence 1.1±0.3 s; lab-only testbed (Jun 2026)
2 Encoding
Hyperfine / clock-state qubit · primary ▤ §II (Mid-circuit measurement) 🔎
¹³³Ba⁺ ground-state hyperfine qubit; family-determined, no machine-specific encoding source
3 Gate mechanism
Mølmer–Sørensen / light-shift laser gate · primary ▣ Fig. 1 (counter-propagating Raman gates); Figs. 4–5 (MS gate DRB); App. C ✅
laser Mølmer–Sørensen entangling gates across the 40-ion chain
4 Connectivity / transport
Ion-chain motional bus (all-to-all in chain) · primary ▣ Fig. 1 (Tanner graphs of required 2Q connectivity); App. F Qubit mapping ✅
all-to-all through the chain's motional bus (degree 39); eight codes in three families run with no hardware reconfiguration (nine in the June version)
5 Control
Free-space laser addressing of ions (AOM/AOD beams) · primary ▣ Fig. 1 (Raman beams steered with AODs); Fig. 10 (gate/MCM schedule) ✅
room-temperature electronics + free-space laser addressing
6 Readout
Fluorescence state detection (ions, defects) · primary ▣ Fig. 1 (OMG-based MCM sequence); §II; Fig. 6 (leakage detection/rejection) ✅
fluorescence readout with leakage detection; ~75 % post-selection rejection for the larger codes
7 Code
Non-local qLDPC codes (bivariate bicycle, 'gross') · primary ▣ Fig. 2 (BB5/GB4 survival vs syndrome cycles); §III; App. A Code definitions ✅
eight codes in three families on one device (nine in the June version); break-even within error bars (logical 3.95±0.68 s in one code vs physical 3.84±0.48 s = 3 T₂*, arXiv version of 14 Sep 2026; the June version gave 3.3±0.9 s); BB5 [[18,4,3]] 4× X / 9× Z below the prior superconducting BB run
8 Decoder
— (Atlas gap: ∅G-beam) · primary ▤ §III (Quantum memory experiments) 🔎
beam-search decoder (Delfosse) for the qLDPC codes, run offline; no Atlas node for search decoders
9 Interconnect
— none — nothing in this layer ◌ 🔎
single 40-ion chain in one module, no interconnect
10 Manufacturing
Ion-trap fabrication (surface-electrode chips; machined 3D blade traps) · primary ◌ 🔎
surface-electrode ion-trap microfabrication; family-determined, no machine-specific fab source

Standard records

acceptance fraction → 0.25 · typical for the larger codes (~75% rejection)
Jun 2026 · source
T2 coherence (echo/DD) → 4.0 s · best (logical lifetime, one code per the abstract)
physical baseline on the same device 3.84 ± 0.48 s (= 3 T₂*; arXiv version of 14 Sep 2026; 3.3 ± 0.9 s in June) · Sep 2026 · source
evidence: ✅ 6 / 10

Pictures

Every picture carries the story of what it shows and its credit line.

Fig. 12 — Figure 12: Green/blue lines indicate one-/two-qubit Raman gates, and red lines indicate periods of state preparation, MCM, or readout. All Raman ga…
A timing plot, drawn as horizontal bars, of quantum error-correction circuits for 'BB5' codes, a family of quantum low-density parity-check codes, at code distances 3, 4 and 5. It comes from the arXiv paper 'Breakeven demonstration of quantum low-density parity-check codes' (Tham, Debnath, Delfosse and co-authors), figure 12. Each bar alternates laser (Raman) gate periods with state preparation and mid-circuit measurement; notice how every added syndrome-extraction cycle lengthens the circuit, reaching about half a second. “Fig. 12 — Figure 12: Green/blue lines indicate one-/two-qubit Raman gates, and red lines indicate periods of state preparation, MCM, or readout. All Raman gates are…” by Edwin Tham et al., arxiv.org/abs/2606.06455, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)