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Fluxonium fluxonium

Josephson-junction-array-shunted superconducting qubit at 0.2–1 GHz with large anharmonicity and long T1, bought at the price of a flux-bias line per qubit.

Fluxonium

fluxonium · layer 1 Qubit carrier · demonstrated · since 2009

Low-frequency (0.2–1 GHz) superconducting qubit with large anharmonicity; longer T1, flux-biased.

Brief →

Key references

[40] L. Ding et al., “High-Fidelity, Frequency-Flexible Two-Qubit Fluxonium Gates with a Transm… · 2023
[39] W.-J. Lin, H. Cho, Y. Chen, M. G. Vavilov, C. Wang, and V. E. Manucharyan, “24 days-stable… · 2024
[317] S. Miller, “Fast control methods enable record-setting fidelity in superconducting qubit,”… · 2025
[316] D-Wave Quantum Inc., “Digital control of a high-coherence fluxonium qubit,” D-Wave Quantum… · 2026

Design space — attributes

(a) carrier affinity
fabricated
(b) time · entangling
50 ns · deterministic
(c) readout
dispersive microwave · 316 ns · non-destructive · mid-circuit
(d) mobility
static nearest-neighbour wiring
(e) control
low-frequency electrical @ room temperature
(f) error structure
stochastic Pauli, coherent / calibration
(g) manufacturing
superconducting lithography

Evaluation space — dated attributes

record 2Q (CNOT, Manucharyan group) → 99.94% in 60 ns, > 99.9% over 24 days
defines: error channel · 2024-07 · source
MIT FTF CZ (RL-optimised mean) → 99.922%
defines: error channel · 2023-09 · source

Atlantic Quantum absorbed by Google (Oct 2025); D-Wave on-chip flux-DAC control on fluxonium (Jan 2026); D-Wave's DR17/DR49/DR181 are dual-rail cavity qubits, not fluxonium.

Standard records

T1 relaxation → 1.0 ms · best
Somoroff et al. fluxonium: T1 stable around 1 ms over several months of operation · 2021-03 · source [D] ⓘ
T2 coherence (echo/DD) → 1.5 ms · best
Somoroff et al. fluxonium: Ramsey T2* = 1.48 +/- 0.13 ms; no spin-echo T2 is reported · 2021-03 · source [D] ⓘ
1Q gate time → 80 ns · best
Somoroff fluxonium X/2 and Y/2: Gaussian-edged square pulses, 60 ns plateau + 2x5 ns edges = 80 ns, >0.9999 avg fidelity · 2021-03 · source [D] ⓘ
idle / memory error per round → not published · typical
No fluxonium QEC round has been run; no idle/memory error per round is published · 2021-03 · source [D] ⓘ

Actors & goals — annotations

Transmon lattice with tunable couplers (alternate) — IBM (Heron, Nighthawk), Google (Willow), Rigetti, IQM, OQC, USTC/Zhejiang, Fujitsu/RIKEN, QuantWare · G2 G3 G4

Edges

needs: Superconducting-qubit lithography (Al/AlOx/Al junctions, Nb wiring, 300 mm)
needed by: Tunable-coupler CZ / iSWAP°, Bare physical qubit (no encoding)°, Dispersive microwave readout (+TWPA, Purcell)°
alternatives: Transmon
conflicts with:
SFQ digital control (4 K / mK) open — no mitigation shown at scale
switching photons above 2Δ break Cooper pairs in the junction film — the transmon mechanism, not yet measured on a fluxonium
price inferred from the transmon case: the same aluminium junctions, the same pair-breaking photons; no fluxonium driven by SFQ pulses has been reported, and a fluxonium biased at half flux is less sensitive to quasiparticle tunnelling than a transmon (Pop et al. 2014), so the price may be lower
mitigation as for the transmon: the driver on a separate die, bandwidth limiting, quasiparticle traps, shielding · 2023-09
° one of several that would do · the usual route, not a strict need

Used by no registered machine

Pictures

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

File:Fluxonium Qubit.png
A composite figure: the main panel is an electron micrograph (5 µm scale bar) of a fluxonium superconducting loop, with a circuit schematic and a false-colour optical micrograph of the antenna pads (50 µm scale bar) as insets. It is credited to Cottet, Xiong, Nguyen et al., dated 2021. Fluxonium shunts one small Josephson junction with a long chain of larger junctions acting as a large inductance; notice the ladder-like chains along both sides and the single small junction at top left. “Fluxonium Qubit” by Cottet, N., Xiong, H., Nguyen, L.B. et al., commons.wikimedia.org/wiki/File:Fluxonium_Qubit.png, CC BY SA 4.0 (creativecommons.org/licenses/by-sa/4.0/)
Fig. 8 — Figure 8: (a) The optical image of the chip. (b) The optical image of coupler two qubits and coupler. (c) SEM images of the fluxonium device, magnif…
A five-image paper figure of a superconducting two-qubit chip. (a) Optical image of the whole chip (500 µm scale bar) with comb-shaped capacitors; (b) optical close-up of the two fluxonium qubits and the coupler (100 µm); (c) scanning-electron micrographs zooming from a tilted view to a Josephson-junction chain (5 µm) and one small junction (200 nm scale bar). It is Fig. 8 of arXiv 2203.16302 (March 2022) by Ilya N. Moskalenko, Ilya S. Besedin and colleagues, on high-fidelity two-qubit gates on fluxoniums using a tunable coupler. A fluxonium is a small junction shunted by a long junction chain, a large inductance; the gate uses fluxoniums rather than transmons. “Fig. 8 — Figure 8: (a) The optical image of the chip. (b) The optical image of coupler two qubits and coupler. (c) SEM images of the fluxonium device, magnified image…” by Ilya N. Moskalenko et al., arxiv.org/abs/2203.16302, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
Fig. 3 — Figure 3: Two-fluxonium device characterization. (a) Micrograph and (b) schematic of the characterized device. (c) SEM image of Q2, with zoom-ins on…
A six-panel figure: an optical micrograph of a chip with two fluxonium qubits and readout resonators (1 mm scale bar), a circuit schematic, electron micrographs of a qubit, its small Josephson junction and its chain of junctions, and spectroscopy data. It comes from the arXiv paper "An ultracompact dilution refrigerator for fast quantum device characterization" by Geffroy and co-authors. It shows the fluxonium qubit — a small junction shunted by a large junction-chain inductance — read out dispersively; notice the junction chain in the last micrograph. “Fig. 3 — Figure 3: Two-fluxonium device characterization. (a) Micrograph and (b) schematic of the characterized device. (c) SEM image of Q2, with zoom-ins on the…” by Clment Geffroy et al., arxiv.org/abs/2608.18699, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
fluxonium · layer 1 Qubit carrier · centrality 6.7 · demonstrated · since 2009 · updated 2026-09-04

Fluxonium

Josephson-junction-array-shunted superconducting qubit at 0.2–1 GHz with large anharmonicity and long T1, bought at the price of a flux-bias line per qubit.

Verdict. Best two-qubit number on any superconducting carrier (99.94% CNOT, 60 ns, stable 24 days) yet nobody's product carrier as of 2026-09-04; it wins only if cold flux control arrives before transmon couplers close the gap.

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

A superconducting circuit shunted by a large junction-array inductance, putting the 0→1 transition at 0.2–1 GHz with gigahertz anharmonicity; Manucharyan, Koch, Glazman and Devoret, 2009. Charge dispersion vanishes.
Attributes: fabricated carrier; deterministic entangling ~50 ns (10^-7.3 s); dispersive readout ~0.3 µs, non-destructive, mid-circuit-capable.
Static mobility; low-frequency flux control at room temperature; Pauli plus coherent error; superconducting lithography.

Physics & limits

Dielectric loss scales with ω, so T1 of 160–260 µs at ~300 MHz is routine where a transmon fights the same bath at 5 GHz D[39]. But kT/h ≈ 420 MHz at 20 mK: equilibrium leaves tens of percent in |1⟩, making active reset (~98% D[315]) mandatory. The floor is 1/f flux dephasing — T2* 20–110 µs against those T1 D[39], [316] — second-order at the sweet spot and untunable. In the record CNOT the dominant term is instead coherent: off-resonant control-qubit flips, residual error below 2×10⁻⁴ D[39]. A quieter bias generated closer to the chip is what moves the floor.

Engineering state of the art

table
Date Figure Who Tag
2023-09-25 CZ 99.922 ± 0.009% (RL-optimised mean) MIT / MIT Lincoln Lab D[40]
2024-07-22 CNOT 99.94% in 60 ns, >99.9% for 24 days uncalibrated Maryland–EPFL–UMass–Wisconsin D[39]
2025-01-14 Single-qubit gate 99.998% MIT EQuS D[317]
2026-01-23 On-chip flux-DAC control, T1 ≈ 200 µs preserved D-Wave D[316]

All one- or two-qubit devices; no fluxonium lattice or QEC cycle exists as of 2026-09-04.

D-Wave quotes 200 bias wires (2026-01-06) and ~300 bias lines (2026-01-23) for the same annealer scheme fact. Not published: the gate duration of MIT's 99.922% CZ, which the PRX abstract does not state, and a dated fluxonium-specific patent family.

Manufacturing, materials & supply chain

Same Nb/Al junction lithography as transmon, inheriting its foundries and its TLS problem; record devices come from MIT Lincoln Laboratory and no merchant supplier exists. The I/O cost is drive, readout and a flux line per qubit: a fridge carries a few hundred DC bias lines, so the burden bites at 10³, and at 10⁴–10⁶ the bias must be generated cold. D-Wave flip-chips a multiplexed Φ-DAC die across a ~7 µm gap at 10 mK with no resolvable added decoherence (T1 ≈ 200 µs D[316]), key parts from NASA JPL C[281]; Shenzhen runs XY and Z down one warm line per qubit D[315]. Export exposure is generic superconducting (US EAR ECCN 3A901).

Role in the stack

A drop-in Layer-1 alternative on the transmon lattice with tunable couplers, replacing transmon where coherence beats control simplicity; nothing downstream requires it. Its 60 ns gate does not set the derived clock — dispersive readout at ~0.3 µs does, as for transmon — so fluxonium buys error, not speed. Verification: the headline numbers are RB averages on isolated pairs, blind to lattice crosstalk, flux drift and fluxon leakage, and 99.94% is unreplicated; the main report's 99.92% record D[40] is superseded by it, and 99.922% is itself an RL-optimised mean (unassisted peaks 99.85–99.9%).

Actors & economics

Who.
Organisation Role Country What exactly they do Evidence
Google developer US Absorbed Atlantic Quantum's fluxonium team; silent since P[55]
D-Wave developer US On-chip Φ-DAC control of a fluxonium D[316]
University of Maryland research US Manucharyan-group 99.94% CNOT D[39]
S Lab, Shenzhen research CN Single-channel unified flux control D[315]

Money.
2025-10-03 · Google · acquisition of Atlantic Quantum · terms undisclosed · closed P[55]fact
2025-11-06 · Atlantic Quantum · absent from QBI Stage B (11 teams, ≤ $15 M each) · DARPA · official fact
2026-08-06 · D-Wave · H1-2026 revenue $5.9 M, cash $546.2 M · reported C[15]fact

Market & supply chain. No commercial supply chain: transmon's kit plus cryogenic DAC/SFQ control, built only in-house (D-Wave) or at government laboratories (JPL, MIT Lincoln Laboratory) — a single point of failure on the one scalable control path. Pays for G3/G4 and G7.

IP & standards. No dated fluxonium-specific patent family found as of 2026-09-04; PatSnap's 2026-06-30 superconducting-device counts are not broken out by carrier Pfact.

Roadmaps & track record. Atlantic Quantum (2025-04 · fluxonium machine under QBI · absorbed, no roadmap survives). D-Wave (2026-06-01 · DR17/DR49/DR181 · dual-rail cavity qubits, not fluxonium Pfact) — its fluxonium work is control IP with no product attached.

Strategic reading. The advantage over a good transmon is thin — Toshiba's double-transmon coupler gives CZ 99.90% in 48 ns D[37] — so fluxonium wins only if cold flux control lands first. Then cryogenic-control vendors and die-bonding capacity capture the value and power sits with the control-chip supplier, not the qubit fab.

Outlook & open questions

Confirm by end-2027: a ≥ 4-qubit fluxonium under on-chip flux control with published two-qubit RB, or a replication of 99.94%; demote if neither appears. Best case 2029: 2Q error near 10⁻⁴ cuts the surface-code budget for a given Λ; worst case, switching noise from the control die eats the coherence advantage. Does the flux-noise floor survive multiplexing? Can 0.2–1 GHz readout reach 99.5% in a lattice? What became of the Atlantic Quantum team?

References
  1. [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
  2. [37] R. Li, K. Kubo, Y. Ho, Z. Yan, Y. Nakamura, and H. Goto, “Realization of High-Fidelity CZ Gate Based on a Double-Transmon Coupler,” Phys. Rev. X, vol. 14, no. 4, Art. no. 041050, Nov. 2024, doi: 10.1103/PhysRevX.14.041050. arXiv:2402.18926. D
  3. [39] W.-J. Lin, H. Cho, Y. Chen, M. G. Vavilov, C. Wang, and V. E. Manucharyan, “24 days-stable CNOT-gate on fluxonium qubits with over 99.9% fidelity,” arXiv:2407.15783, Jul. 2024. D
  4. [40] L. Ding et al., “High-Fidelity, Frequency-Flexible Two-Qubit Fluxonium Gates with a Transmon Coupler,” Phys. Rev. X, vol. 13, no. 3, Art. no. 031035, Sep. 2023, doi: 10.1103/PhysRevX.13.031035. D
  5. [55] M. Swayne, “Atlantic Quantum Joins Google Quantum AI,” The Quantum Insider, Oct. 3, 2025. [Online]. Available: https://thequantuminsider.com/2025/10/03/atlantic-quantum-joins-google-quantum-ai/ P
  6. [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
  7. [315] X. Pan et al., “Unified Flux Control Architecture for Fluxonium Qubits,” arXiv:2605.25948, May 2026. D
  8. [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
  9. [317] S. Miller, “Fast control methods enable record-setting fidelity in superconducting qubit,” MIT News, Jan. 14, 2025. [Online]. Available: https://news.mit.edu/2025/fast-control-methods-enable-record-setting-fidelity-superconducting-qubit-0114 D