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Flux readout via QFP / SQUID shift registers (annealers) ro_fluxro

At the end of an anneal each flux qubit's persistent-current state is latched by a quantum flux parametron and carried as a classical bit to a detector — a dc SQUID, or on Advantage a frequency-multiplexed microresonator at the chip perimeter; no qubit is coupled to a readout resonator.

Flux readout via QFP / SQUID shift registers (annealers)

ro_fluxro · layer 6 Readout · demonstrated · since 2011

The annealer's own readout: the final flux state of each qubit is latched by a quantum-flux-parametron and clocked out through on-chip shift registers to a handful of lines — thousands of qubits read per anneal; no qubit is coupled to a resonator (the shift registers end in frequency-multiplexed microresonators at the chip edge).

Brief →

Key references

[607] K. Boothby et al., “Architectural considerations in the design of a third-generation super… · 2021
[608] A. J. Berkley et al., “A scalable readout system for a superconducting adiabatic quantum o… · 2010
[609] R. Harris et al., “Experimental demonstration of a robust and scalable flux qubit,” Phys. … · 2010
[430] P. I. Bunyk et al., “Architectural considerations in the design of a superconducting quant… · 2014
[612] J. D. Whittaker et al., “A frequency and sensitivity tunable microresonator array for high… · 2015

Design space — attributes

(a) carrier affinity
fabricated
(b) time · entangling
—
(c) readout
flux latch (QFP/SQUID) · 100 µs · destructive · no mid-circuit
(d) mobility
—
(e) control
low-frequency electrical @ millikelvin stage
(f) error structure
stochastic Pauli
(g) manufacturing
superconducting lithography

Evaluation space — dated attributes

no dated attribute

A read of the whole chip takes 17–235 µs and ends the sample; it is not a mid-circuit measurement.

Actors & goals — annotations

Edges

needs: rf-SQUID flux qubit (annealer), Dispersive microwave readout (+TWPA, Purcell), On-chip flux-DAC multiplexing
° one of several that would do · the usual route, not a strict need

Used by 3 machines (3 primary · 0 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.

Fig. 7 — Figure 7(a) Schematic (perspective view) of 2.5-dimensional flux qubit using flip-chip bonding for coupling between a quantum flux parametron (QFP)1…
Three-panel figure: (a) a perspective drawing of a flux qubit split across two flip-chip-bonded chips joined by bumps and coupled to a quantum flux parametron (QFP), with optical micrographs of the readout (dc SQUID and QFP) on chip 1 and of the qubit and its bias lines on chip 2; (b) a photograph of the bonded chip stack wire-bonded in its package (2 mm scale bar); (c) the measured state-transition probability versus local bias current at 4.2 K. It is Figure 7 of a 2024 Scientific Reports article by Saida, Makise and Hidaka. It shows QFP flux readout, the readout family of quantum annealers. “Fig. 7 — Figure 7(a) Schematic (perspective view) of 2.5-dimensional flux qubit using flip-chip bonding for coupling between a quantum flux parametron (QFP)16 and a…” by Saida, Daisuke; Makise, Kazumasa; Hidaka, Mutsuo, www.nature.com/articles/s41598-024-65086-1, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
Fig. 5 — Figure 5Micrograph of the AQFP-based XSR circuit for n = 4, which corresponds to the circuit shown in Fig. 3a. The circuit was fabricated using the…
Optical micrograph (200 µm scale bar) of a superconducting circuit built from adiabatic quantum-flux-parametron (AQFP) logic, with labelled blocks of true random number generators, shift registers and XOR gates, current inputs on the left and voltage outputs on the right. It is Figure 5 of a 2022 Scientific Reports article by Luo, Chen, Yoshikawa and Takeuchi; the caption says it was fabricated in the HSTP process. It is classical superconducting logic, but its chains of flux-parametron cells are the same kind of shift register that quantum annealers use to read out qubit states. “Fig. 5 — Figure 5Micrograph of the AQFP-based XSR circuit for n = 4, which corresponds to the circuit shown in Fig. 3a. The circuit was fabricated using the HSTP.” by Luo, Wenhui; Chen, Olivia; Yoshikawa, Nobuyuki; Takeuchi, Naoki, www.nature.com/articles/s41598-022-24230-5, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
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/)
ro_fluxro · layer 6 Readout · centrality 3 · demonstrated · since 2011 · updated 2026-09-30

Flux readout via QFP / SQUID shift registers (annealers)

At the end of an anneal each flux qubit's persistent-current state is latched by a quantum flux parametron and carried as a classical bit to a detector — a dc SQUID, or on Advantage a frequency-multiplexed microresonator at the chip perimeter; no qubit is coupled to a readout resonator.

Verdict. Mature for its one job — 17–101 µs per read and ≤10⁻³ error per qubit on Advantage2, by D-Wave's own figures — but terminal by construction: as of 2026-09-26 no annealer reads mid-schedule, and no published Advantage2 readout architecture or readout-error method was found.

Key references

QFP = quantum flux parametron, an rf-SQUID flux latch; dc SQUID = two-junction interferometer used as a switching detector; Φ-DAC = on-chip flux digital-to-analogue converter; FASTR = flux-sensitive superconducting microresonator; CSFQ = capacitively shunted flux qubit; G1–G7 = the report's goal classes (see Actors & economics).

Identity & lineage

An annealer needs one measurement, in one basis, once. At the end of the schedule the tunnelling term A(s) is negligible and every rf-SQUID flux qubit has localised into one of two persistent-current states C[607]; the technology reads that classical flux. A QFP coupled to each qubit latches its sign, with flux sensitivity well beyond what a practical mutual inductance to a dc SQUID gives D[608]. The lineage is D-Wave's: a "robust and scalable" rf-SQUID qubit D[609], a 128-qubit latch-plus-dc-SQUID readout D[608], and on Advantage QFP shift registers feeding perimeter microresonators C[607]. Attributes: flux mechanism, fabricated, terminal with no mid-circuit read, low-frequency control at the mK stage, bit-flip (Pauli) error.

Physics & limits

The readout tells apart two macroscopically distinct flux states, not two microwave frequencies. A QFP's barrier is raised while the qubit's flux tilts its potential, so it settles into the favoured well and a small signal becomes a full-scale latch state G[608]. The latch is robust against the current pulses of switching dc SQUIDs, so it can be read repeatedly to beat stochastic switching: single-qubit read error <10⁻⁶, and 8×10⁻⁵ on a 128-qubit system at optimal latch bias D[608]. The floor sits before the latch: flips during freeze-out are read faithfully as wrong answers, and no readout metric separates them S.

"Destructive" here means terminal rather than state-destroying: with reinitialize_state = False each reverse anneal "is initialized from the final state of the qubits after the previous cycle" C[610]. Dispersive readout (ro_disp) would need a resonator per qubit and coherent state-dependent frequency shifts, for thousands of quasi-statically biased qubits read once S. The coherent-annealer variant puts a QFP, as isolator and amplifier, before a low-Q resonator (Qₑ = 760): 98.6% fidelity in 80 ns, 99.6% in 1 µs on a CSFQ D[611].

Engineering state of the art

table
Year Figure Who Tag+key
2009-05 128-qubit XY readout: N latches, N dc SQUIDs, 2√N + 2 bias lines; system error 8×10⁻⁵ D-Wave D[608]
2010-04-07 "Robust and scalable" rf-SQUID flux qubit D-Wave D[609]
2014-01 512-qubit processor; readout left to "a subsequent publication" D-Wave D[430]
2015-09 Tunable microresonator detectors, >1,000 per line possible D-Wave D[612]
2020 QFP-isolated resonator readout of a CSFQ, 98.6% in 80 ns Northrop Grumman D[611]
2021-08 Advantage: QFP shift registers, ~10 Mbit/s per track, frequency-multiplexed FASTRs D-Wave C[607]
2026-09 Advantage2_system1, 4,575 qubits: 17–101 µs per read, readout error ≤0.001 D-Wave C[613]

The upper per-read time fell from 235 µs on Advantage_system4 (5,627 qubits) to 101 µs on Advantage2_system1 C[613]; it "can vary depending on the size of the problem" C[614]. Dominant term: time per sample, not error.

Manufacturing, materials & supply chain

The chain is built in the processor's own superconducting multilayer process: QFP shift registers run along horizontal and vertical tracks from the qubits to the perimeter, where the microresonators sit C[607]. Readout adds no die, bond or foundry of its own; its yield risk is the processor's S. The only microwave element is the perimeter array, read in parallel by frequency multiplexing C[607], a detector class that scales past 1,000 per line D[612].

Control, readout & I/O burden

The technology keeps annealer I/O sublinear. Berkley's XY scheme needed 2√N + 2 bias lines — ~25 for 128 qubits, ~137 if applied to 4,575 S[608]; Advantage drops per-qubit detectors, shifting bits out at ~10 Mbit/s per track C[607]. Time is the cost: per sample Ts/R ≈ Ta + Tr + Td; D-Wave's worked example has anneal 20.0 µs, readout 39.76 µs, delay 21.02 µs, and 15.9 ms programming per job C[614]. For a full problem, readout is ~56% of each sample on Advantage2_system1 (Tr ≤ 101 µs, Td = 60.6 µs) and ~85% on Advantage_system4 (235 µs, 20.5 µs) S[613]. The Atlas's whole-chip read time of milliseconds (t = −3) overstates it 4–60-fold; milliseconds accrue per job S[613].

Role in the stack

On the architecture Quantum annealer — flux qubits (anneal) the technology fills slot 6 beside ro_disp; slots 7–9 are empty. It requires flux qubits latched by QFPs (fluxq) and on-chip shift registers and DACs (ct_fluxdac); it provides no edge, its product being the classical sample; ro_disp is its declared replacement (dispersive vs flux-latch readout). Register machines: Advantage (primary, ✅), Advantage2 (primary, 🔎); Qilimanjaro's AQPU (10 analogue fluxonium qubits, inaugurated at BSC in May 2026) is not among them, its readout undisclosed. Gap ledger G-fluxro is answered — D-Wave does not read qubits dispersively — but "no dispersive resonator anywhere" overstates it: Advantage's perimeter microresonators read shift-register bits C[607]. ro_disp belongs on this architecture only for the QFP-plus-resonator hybrid D[611].

Evidence — how the numbers were measured

D-Wave publishes readout error as a bound, ≤0.001 on every listed Advantage and Advantage2 system, with no method stated C[613]; at that bound a 4,575-qubit sample carries an expected ≤4.6 flipped bits S[613]. The only published method found is Berkley's, error measured against latch bias D[608]. Without a mid-anneal read there is no syndrome round: any code is decoded once, from the final sample, and mitigation is post hoc — repeated reads and software spin-reversal transforms C[610]. Register grades: both D-Wave cells cite arXiv:0905.0891 Fig. 1 (🔎), whose abstract confirms the latch–dc-SQUID chain but for a 128-qubit XY design; Boothby et al. fits Advantage, the solver-properties page Advantage2. The Qilimanjaro cell cites a D-Wave page.

The 20 µs anneal is the documentation's worked example, not a confirmed solver default, and the 60.6 µs against 20.6 µs delay difference is unexplained. Not published: a per-qubit readout-error distribution for D-Wave systems, and the Advantage2 readout architecture (resonator count, shift rate).

Actors & economics

Who.
Organisation Role Country What exactly they do with this technology Evidence
D-Wave Quantum developer Canada/USA QFP latches, shift registers and perimeter microresonators on Advantage and Advantage2 C[607]
Northrop Grumman research US QFP-isolated resonator readout for high-coherence annealers D[611]
Qilimanjaro Quantum Tech developer Spain Coherent annealer platform (the AQPU at BSC, May 2026); readout chain not confirmed as of 2026-09-26 C[615]

Money. No dated financial item is specific to this readout technology as of 2026-09-26.

Market & supply chain. One shipping vendor; readout is not sold separately and rides on the processor's niobium process. It pays into G1 and G5 through throughput: ~182 µs per full-chip sample on Advantage2_system1 is ~5,500 samples per second S[613].

IP & standards. No readout-specific patent count from a named database and no standards activity found as of 2026-09-26.

Roadmaps & track record. Advantage2 is generally available with 4,400+ qubits and 40,000+ couplers, 20 per qubit C[616]; its full-chip read is ~2.3× faster than Advantage_system4's S[613]. The register records no next-generation annealer as of 2026-09-26.

Strategic reading. Readout is where annealing loses throughput, not quality; faster reads help sample-hungry G5 work, and D-Wave's gate-model line cannot reuse the chain, since nothing in it acts mid-circuit S.

Outlook & open questions

Confirm if by 2027-06-30 D-Wave publishes an Advantage2 readout description with a measured per-qubit error distribution; demote ≤10⁻³ to an unqualified company bound if not. Confirm Qilimanjaro here if by 2027-12-31 it publishes a flux-latch chain; move it to ro_disp if a resonator reads its QFP or qubit. Open questions. (1) What sets the 17 µs floor — shift clock, resonator ring-down or thermalisation? (2) Does readout error vary along a track? (3) Does latch back-action bias the next reverse anneal? (4) Can a mid-anneal read be made non-terminal? (5) Why does Advantage2_system1 need a 60.6 µs per-sample delay against 20.6 µs on system2?

References
  1. [430] P. I. Bunyk et al., “Architectural considerations in the design of a superconducting quantum annealing processor,” arXiv:1401.5504, Jan. 2014. D
  2. [607] K. Boothby et al., “Architectural considerations in the design of a third-generation superconducting quantum annealing processor,” arXiv:2108.02322, Aug. 2021. C
  3. [608] A. J. Berkley et al., “A scalable readout system for a superconducting adiabatic quantum optimization system,” Supercond. Sci. Technol., vol. 23, Art. no. 105014, 2010. arXiv:0905.0891. D
  4. [609] R. Harris et al., “Experimental demonstration of a robust and scalable flux qubit,” Phys. Rev. B, vol. 81, no. 13, Art. no. 134510, Apr. 2010, doi: 10.1103/PhysRevB.81.134510. D
  5. [610] D-Wave Quantum Inc., “QPU Solver Parameters — D-Wave Quantum Computing Products documentation.” [Online]. Available: https://docs.dwavequantum.com/en/latest/quantum_research/solver_parameters.html C
  6. [611] J. A. Grover et al., “Fast, Lifetime-Preserving Readout for High-Coherence Quantum Annealers,” PRX Quantum, vol. 1, no. 2, Art. no. 020314, 2020, doi: 10.1103/PRXQuantum.1.020314. arXiv:2006.10817. D
  7. [612] J. D. Whittaker et al., “A frequency and sensitivity tunable microresonator array for high-speed quantum processor readout,” arXiv:1509.05811, Sep. 2015. D
  8. [613] D-Wave Quantum Inc., “Per-QPU Solver Properties and Schedules — D-Wave Quantum Computing Products documentation.” [Online]. Available: https://docs.dwavequantum.com/en/latest/quantum_research/solver_properties_specific.html C
  9. [614] D-Wave Quantum Inc., “Operation and Timing — D-Wave Quantum Computing Products documentation.” [Online]. Available: https://docs.dwavequantum.com/en/latest/quantum_research/operation_timing.html C
  10. [615] Qilimanjaro Quantum Tech, “Towards a European full-stack coherent quantum annealer platform,” Mar. 2, 2021. [Online]. Available: https://qilimanjaro.tech/towards-a-european-full-stack-coherent-quantum-annealer-platform/ C
  11. [616] D-Wave Quantum Inc., “D‑Wave's Advantage2 Quantum Computer Now Generally Available,” D-Wave Support, May 14, 2025. [Online]. Available: https://support.dwavesys.com/hc/en-us/articles/32105885880087-D-Wave-s-Advantage2-Quantum-Computer-Now-Generally-Available C