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On-chip flux-DAC multiplexing ct_fluxdac

SFQ on-chip flux digital-to-analogue converters that hold each qubit's or coupler's DC bias at the mK stage, replacing one room-temperature wire per bias with a multiplexed on-chip network.

On-chip flux-DAC multiplexing

ct_fluxdac · layer 5 Control · demonstrated · since 2026

Annealer-heritage SFQ flux DACs: ~200–300 bias lines for 10⁴ qubits; applied to fluxonium (bump-bonded MCM).

Reading marks
crossing technology — fabricated carrier + control/decoding in the cold stage
Brief →

Key references

[316] D-Wave Quantum Inc., “Digital control of a high-coherence fluxonium qubit,” D-Wave Quantum… · 2026
[281] D-Wave, “D-Wave Demonstrates First Scalable, On-Chip Cryogenic Control of Gate-Model Qubit… · 2026
[304] C. Jordan et al., “A quantum computer controlled by superconducting digital electronics at… · 2026
[527] A. Noori et al., “A Cryo-CMOS Control System for Large-Scale Superconducting Qubit Quantum… · 2026

Design space — attributes

(a) carrier affinity
fabricated
(b) time · entangling
—
(c) readout
—
(d) mobility
—
(e) control
low-frequency electrical @ millikelvin stage
(f) error structure
coherent / calibration
(g) manufacturing
superconducting lithography

Evaluation space — dated attributes

bias lines per qubits → ~300 bias lines into the QPU, of which ~200 multiplexed lines address ~10⁵ on-chip DACs (whitepaper 2026-01-23); fluxonium MCM at 10 mK
defines: scaling path · 2026-01 · source

The 200 and 300 in D-Wave's texts count different line sets: ~300 bias lines in total, ~200 multiplexed lines addressing the DAC network (both in the 2026-01-23 whitepaper). NASA JPL fabricated key components of the module.

Standard records

control lines per qubit → 0.109 · typical
D-Wave 512 q: '512 single-, 3520 two- and 512 three-stage flux-DACs are controlled with an XYZ addressing scheme requiring 56 wires' · 2014-01 · source [D] ⓘ

Actors & goals — annotations

Dual-rail erasure qubits (alternate) — D-Wave/QCI, AWS, SUSTech · G3 G4

Used by 4 machines (3 primary · 1 alternate)

↗ its register card · paper / product / press: links that name the machine (attribution checked on 20 Sep 2026)

Pictures

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

File:D-Wave-Washington-1000Q.jpg
A close-up photograph of a square processor chip named WASHINGTON, wire-bonded into a gold-plated holder on a green circuit board, with traces running out to fine-pitch connectors. Credited to Mwjohnson0 (2015-11-02); the caption identifies it as the D-Wave TwoX 1000-qubit quantum annealing processor, introduced in 2015 with 128,472 Josephson junctions. The pinkish grid in the centre is the repeated array of superconducting flux-qubit cells; the ring of hundreds of wire bonds shows how many control lines such a chip needs. “D-Wave-Washington-1000Q” by Mwjohnson0, commons.wikimedia.org/wiki/File:D-Wave-Washington-1000Q.jpg, CC BY SA 4.0 (creativecommons.org/licenses/by-sa/4.0/)
File:D-Wave Two 512 qubit Vesuvius chip.jpg
A photograph of the D-Wave Two 512-qubit Vesuvius chip mounted in its gold-plated package, ready for cooling to near absolute zero. Steve Jurvetson took it at D-Wave's Canadian headquarters during a board meeting (uploaded 2018). The processor is a quantum annealer built from superconducting rf-SQUID flux qubits. Notice how small the square silicon die at the centre is compared with the circuit board, connector strips and coaxial cables that carry its control and readout signals. “D-Wave Two 512 qubit Vesuvius chip” by Steve Jurvetson, commons.wikimedia.org/wiki/File:D-Wave_Two_512_qubit_Vesuviu…, CC BY 2.0 (creativecommons.org/licenses/by/2.0/)
File:A Wafer of the Latest D-Wave Quantum Computers (39188583425).jpg
An oblique photograph by Steve Jurvetson (2018-02-01) of an undiced wafer that its caption describes as holding D-Wave quantum computers: a regular grid of roughly 120 square dies separated by dicing lanes. Each die is presumably one annealing processor; the individual qubit loops are too small to see at this scale. It shows that these superconducting processors are made like ordinary chips, many at a time on a wafer by lithography; the rainbow tints are thin-film interference, not colour of the circuits. “A Wafer of the Latest D-Wave Quantum Computers (39188583425)” by Steve Jurvetson from Menlo Park, USA, commons.wikimedia.org/wiki/File:A_Wafer_of_the_Latest_D-Wave…, CC BY 2.0 (creativecommons.org/licenses/by/2.0/)
ct_fluxdac · layer 5 Control · centrality 9.7 · demonstrated · since 2026 · updated 2026-09-30

On-chip flux-DAC multiplexing

SFQ on-chip flux digital-to-analogue converters that hold each qubit's or coupler's DC bias at the mK stage, replacing one room-temperature wire per bias with a multiplexed on-chip network.

Verdict. Proven at 200–300 bias wires for a several-thousand-qubit annealer; the January 2026 fluxonium result is one device with coherence but no gate fidelity, no crosstalk matrix and no peer review.

Key references

Λ = error-suppression factor per code-distance step; QBI = DARPA Quantum Benchmarking Initiative (Stage A concept → B R&D plan → C government V&V); G1–G7 = the report's goal classes (see Actors & economics).

Identity & lineage

An on-chip flux DAC (Φ-DAC) is an SFQ circuit on the mK stage that latches the DC flux bias of one qubit or coupler. SFQ pulses push flux quanta (Φ₀ = h/2e) into a superconducting storage loop, which holds the bias indefinitely with no static dissipation and no room-temperature wire. D-Wave has shipped this in annealers for over a decade; the first gate-model application, a flip-chip fluxonium module, came in January 2026 D[316]C[281].
Attributes: fabricated control layer with no intrinsic gate or readout channel; low-frequency bias at the mK stage.
Error structure is coherent — bias-setting error, crosstalk, drift — not relaxation; fabrication is superconducting multilayer lithography.

Physics & limits

The scaling argument is about duty cycle, not power efficiency. Each switching event dissipates ~I_cΦ₀, but a flux bias is reprogrammed on a calibration cadence, not a gate cadence, so thousands of latched channels sit quiescent inside a millikelvin budget that could not host one continuously driven line — unlike SFQ gate control, which pulses at circuit rates. A resource review puts SFQ control at ~1.6 µW/qubit against 2–23 mW/qubit for 4 K cryo-CMOS S[550]fact.
The floor is bias resolution and stability, not coherence. The least significant flux step fixes a residual detuning; thermal cycling and trapped vortices move the working point; and every stored quantum couples magnetically to its neighbours, which is where crosstalk originates. Moving the floor needs low-power SFQ families (ERSFQ — energy-efficient rapid SFQ — and eSFQ) without static bias resistors, finer quantisation, and shielding that keeps the DAC network's fields off the qubit chip.

Engineering state of the art

table
Year Figure Who Tag/key
2025-05-20 Advantage2 GA: 4,400+ qubits, Zephyr degree-20, 12.5 kW D-Wave Cfact
2026-01-06 "200 bias wires" for tens of thousands of qubits and couplers; parts made at NASA JPL D-Wave C[281]
2026-01-23 Flip-chip fluxonium + Φ-DAC: T1 ≈ 200 µs, T2* ≈ 20 µs at 10 mK, no added decoherence resolved D-Wave D[316]
2026-03-10 SFQ control co-integrated with qubits, 1Q > 99% (peak 99.9%) — gate, not flux, control SEEQC D[304]fact
2026-03-16 14 nm cryo-CMOS flux-bias ASICs on 156-qubit Heron R2, 2Q error ≈ 2.3×10⁻³ (rival) IBM C[527]fact

The annealer ratio is deployed; the gate-model result is one qubit, with coherence but no gate fidelity.

Manufacturing, materials & supply chain

The package bump-bonds a "high-coherence, minimal fabrication" qubit chip to a multilayer control chip across a ~7 µm gap D[316]. The supply chain is the exposure: key components were fabricated at NASA's Jet Propulsion Laboratory C[281] — a government laboratory, not a merchant foundry. D-Wave's 10-Ks state fabrication at "existing third-party foundries" with a second source demonstrated; EDGAR search returns nine "SkyWater" hits in its 2023–2026 filings G[492]. Export exposure is asymmetric and favours SFQ: ECCN 3A901.a controls CMOS ICs designed for ≤4.5 K — a design-intent test capturing a cryo-CMOS design file — while no ECCN names superconducting digital logic; only the finished machine can be caught, under 4A906, and only when its qubit count and C-NOT error fall in the same band, from 34–99 qubits at ≤ 10⁻⁴ to any error from 2,000 qubits G[301]fact.

Control, readout & I/O burden

The node breaks the one-wire-per-bias law: 200–300 bias wires serve several thousand annealer qubits and tens of thousands of couplers C[281], [316]. Annealer biases are set per program and structurally homogeneous, whereas a gate-model processor retunes per-qubit and per-coupler biases against a drifting calibration. Line count is not the only I/O: bump-bond count, readout and microwave drive are untouched. SFQ pulses are picosecond-scale, so updates are fast; settling time and neighbour disturbance are unpublished. At 10³ D-Wave already operates; at 10⁴ the ~200–300 lines is an annealer ratio, not a fluxonium one; at 10⁶ no path is described and bond density, not wire count, binds.

Role in the stack

This Control-layer node underlies the quantum-annealing architecture (D-Wave), is the alternate control of the dual-rail erasure architecture (D-Wave's gate-model line), and requires superconducting Nb/Al junction lithography and SFQ digital logic at the mixing-chamber stage — the DAC is an SFQ flux-storage loop, so the node hangs off SFQ digital control (ct_sfq) and gives that node its second carrier family; it shares cold-stage fabrication capacity. It replaces room-temperature control lines. The switching cost is a second die, flip-chip bond yield as a new failure mode, and loss of arbitrary waveform shaping on the biased node — bandwidth traded for wire count. Flux biases are quasi-static, so this node adds no term to derived clock = sum of the syndrome round: gate layers + transport + readout + reset; the annealing architecture runs no syndrome round in any case, its cadence being calibration, not circuit, and no figure is quotable. Its empty downstream fan-out understates the case: every superconducting roadmap above ~10³ qubits meets this wall.

Evidence — how the numbers were measured

T1 (relaxation) and T2 (Ramsey) were measured on the single Φ-DAC-controlled fluxonium against a conventional control-line baseline. The comparison has limited sensitivity: T2 ≈ 20 µs is already an order of magnitude below T1 ≈ 200 µs, so "no resolvable increase" bounds rather than measures the DAC's flux noise. Unpublished: any crosstalk matrix, bias drift across thermal cycles, or gate fidelity. The source is a company whitepaper, not peer-reviewed, and unreplicated. Value conflict: D-Wave says 200 bias wires (2026-01-06) C[281] and ~300 (2026-01-23) D[316]; the whitepaper's figure is tied to a described array.

The SkyWater–D-Wave foundry relationship rests on an EDGAR full-text hit count, not a quoted sentence. No ECCN names superconducting digital logic; whether an SFQ control die falls under a catch-all is untested. Not published: the Φ-DAC's settling time, and the scope, capacity or contract terms of JPL's role beyond "key components".

Actors & economics

Who.
| Organisation | Role | Country | What they do | Evidence |
|---|---|---|---|---|
| D-Wave | developer | CA | Originated Φ-DAC multiplexing; first fluxonium demo | D[316]C[281] |
| NASA JPL | supplier | US | Fabricated key components of the module | C[281] |
| SEEQC | developer | US | SFQ control chips; owns a multilayer superconductor foundry | D[304] |
| IBM | developer | US | Rival 14 nm cryo-CMOS flux-bias ASIC on Heron R2 | C[527] |
| US Dept of Commerce | regulator | US | $100 M CHIPS LOI to D-Wave; BIS sets 3A901.a and 4A906 | G[300], [301] |

Money.
2026-01-20 · D-Wave · M&A, Quantum Circuits Inc. · $550 M ($300 M stock + $250 M cash) · closed C[14]fact
2026-05-21 · D-Wave · CHIPS letter of intent · $100 M · US DoC, $2.013 B package · LOI G[300]fact
2026-05-26 · SEEQC · SPAC registration (Form S-4), Allegro Merger Corp. · $75 M offering + $65 M PIPE, ~$1 B EV · filed G[575]fact; merger terminated 2026-08-25 before closing fact
2026-08-06 · D-Wave · H1-2026 revenue $5.9 M (−67% YoY), cash $546.2 M · reported C[15]fact

Market & supply chain. The scarce input is multilayer niobium capacity: SkyWater as merchant option (quantum ATS revenue +30% YoY on FY2025 revenue $442.1 M G[576]), SEEQC's own Elmsford line, JPL as a government facility with no commercial throughput. No $/channel figure is disclosed. G7 pays most directly; G3/G4 only if the fluxonium route generalises.

IP & standards. No dated patent family specific to on-chip flux-DAC circuits was found; D-Wave's annealer control IP predates this window. SEEQC's SFQ portfolio descends from over $100 M of prior Hypres investment Pfact. No standards activity identified.

Roadmaps & track record. D-Wave gate model: 17 physical qubits (promised 2026-06-01 · for 2026 · reaffirmed 2026-08-06, undelivered as of 4 Sep 2026), then 49 (2027), 181 (2028), 100 logical (2032), Λ = 10 R[14]. Advantage2 GA (promised for 2025 · delivered 2025-05-20) is the clean delivery C[220]. Against that, H1-2026 revenue fell 67% C[15]: the pivot runs on cash, not the business. CFO John Markovich retired effective 2026-09-02; the 8-K of 2026-08-25 states the departure involved no disagreement with the company fact. SEEQC's SPAC merger was terminated on 2026-08-25; its separate S-1 IPO, filed 2026-06-29, had not priced by 30 Sep 2026 fact.

Strategic reading. Three answers compete for one I/O wall: on-chip SFQ Φ-DACs (D-Wave), 4 K cryo-CMOS DACs (IBM, HRL), and needing fewer lines at all — the Shenzhen unified XY+Z architecture drives both through one room-temperature channel per fluxonium at 99.99% 1Q fidelity on eight devices D[315]. That third route is the underrated threat: no cryogenic hardware, and it reports the gate metric the Φ-DAC work omits. If Φ-DACs generalise, D-Wave and Nb foundries gain and room-temperature rack vendors lose per-qubit channel revenue.

Outlook & open questions

Milestones (12–24 months): D-Wave publishes a multi-qubit Φ-DAC result with a crosstalk matrix and gate fidelity (confirm); the 17-qubit 2026 gate-model target ships (confirm); an outside group replicates the coherence result on a second device (confirm) — or the fluxonium line stays a single-device whitepaper through 2027 (demote). Best case 2029: Φ-DAC control of hundreds of independently tuned gate-model qubits, crosstalk below the gate-error budget, adopted outside D-Wave; worst case, proven only for a homogeneous annealer array while cryo-CMOS or line-reduction takes the gate-model market. Open: crosstalk and drift at scale; whether bump-bond density becomes the real wall. Watch: D-Wave's next fluxonium publication, SEEQC's IPO pricing, an SFQ-vs-cryo-CMOS comparison.

References
  1. [14] D-Wave Quantum Inc., “D-Wave Announces Agreement to Acquire Quantum Circuits Inc., Establishing World's Leading Quantum Computing Company,” Jan. 7, 2026. [Online]. Available: https://www.dwavequantum.com/company/newsroom/press-release/d-wave-to-acquire-quantum-circuits-inc-establishing-world-s-leading-quantum-computing-company/ C
  2. [15] D-Wave Quantum Inc., “D-Wave Reports Second Quarter 2026 Results,” Aug. 6, 2026. [Online]. Available: https://www.dwavequantum.com/company/newsroom/press-release/d-wave-reports-second-quarter-2026-results/ C
  3. [220] M. Swayne, “D-Wave Announces General Availability of Advantage2 Quantum Computer,” The Quantum Insider, May 20, 2025. [Online]. Available: https://thequantuminsider.com/2025/05/20/d-wave-announces-general-availability-of-advantage2-quantum-computer/ C
  4. [281] D-Wave, “D-Wave Demonstrates First Scalable, On-Chip Cryogenic Control of Gate-Model Qubits,” Jan. 6, 2026. [Online]. Available: https://www.dwavequantum.com/company/newsroom/press-release/d-wave-demonstrates-first-scalable-on-chip-cryogenic-control-of-gate-model-qubits/ C
  5. [300] National Institute of Standards and Technology, “Department of Commerce Announces Letters of Intent With 9 Companies for $2 Billion to Accelerate U.S. Leadership in Quantum Computing,” NIST News, May 21, 2026. [Online]. Available: https://www.nist.gov/news-events/news/2026/05/department-commerce-announces-letters-intent-9-companies-2-billion G
  6. [301] US Department of Commerce, Bureau of Industry and Security, “Commerce Control List Additions and Revisions; Implementation of Controls on Advanced Technologies Consistent With Controls Implemented by International Partners,” Federal Register, vol. 89, p. 72926, Sep. 6, 2024. [Online]. Available: https://www.federalregister.gov/documents/2024/09/06/2024-19633/commerce-control-list-additions-and-revisions-implementation-of-controls-on-advanced-technologies G
  7. [304] C. Jordan et al., “A quantum computer controlled by superconducting digital electronics at millikelvin temperature,” Nat. Electron., vol. 9, no. 3, pp. 287–294, Mar. 2026, doi: 10.1038/s41928-026-01576-6. D
  8. [315] X. Pan et al., “Unified Flux Control Architecture for Fluxonium Qubits,” arXiv:2605.25948, May 2026. D
  9. [316] D-Wave Quantum Inc., “Digital control of a high-coherence fluxonium qubit,” D-Wave Quantum Inc., Jan. 2026. [Online]. Available: https://www.dwavequantum.com/media/41upubz2/14-1090a-a_fluxonium-dac-control.pdf D
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  12. [550] S. Kawabata, “Integration and Resource Estimation of Cryoelectronics for Superconducting Fault-Tolerant Quantum Computers,” arXiv:2601.03922, Jan. 2026. S
  13. [575] SeeQC, Inc., “Form S-4 Registration Statement (SeeQC, Inc. / Allegro Merger Corp.),” U.S. Securities and Exchange Commission, May 2026. [Online]. Available: https://www.sec.gov/Archives/edgar/data/1779977/000121390026061108/ea0278139-04.htm G
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