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Multi-photon resource-state generator (RSG; 6-ring etc.) src_resource

The source-plus-fusion subsystem that must mass-produce encoded multi-photon graph states at code rate to feed fusion-based fault tolerance; nothing runs near that rate.

Multi-photon resource-state generator (RSG; 6-ring etc.)

src_resource · layer 3 Gate mechanism · empty slot — no technology yet

Fusion-based FT needs 24–168-photon encoded resource states at high rate; largest fused deterministic-emitter graph states are 8 photons at < 1 Hz.

Reading marks
∅ empty slot
Brief →

Key references

[179] S. Bartolucci et al., “Fusion-based quantum computation,” Nat. Commun., vol. 14, Art. no. … · 2023
[688] P. Thomas, L. Ruscio, O. Morin, and G. Rempe, “Fusion of deterministically generated photo… · 2024
[169] K. Alexander et al., “A manufacturable platform for photonic quantum computing,” Nature, v… · 2025
[824] H. Huet et al., “Deterministic and reconfigurable graph state generation with a single sol… · 2025
[264] M. C. Löbl, L. A. M. Pettersson, J. Dragašević, S. X. Chen, and O. A. D. Sandberg, “The su… · 2026

Design space — attributes

(a) carrier affinity
photon (natural particle, engineered modes)
(b) time · entangling
— · probabilistic / heralded
(c) readout
—
(d) mobility
flying qubits (photons)
(e) control
electro-optic @ room temperature
(f) error structure
loss (erasure)
(g) manufacturing
photonic IC foundry

Evaluation space — dated attributes

largest emitter-fused graph state → 8 qubits, 0.4–2.3 coincidences/min
defines: count with quality · 2024-05 · source
independent emitter graph states (C2N Paris-Saclay) → reconfigurable 4-photon graph states from one quantum dot, ~0.5 Hz
defines: count with quality · 2025-05 · source

Quandela's Lucy was delivered to CEA in 2025-10 and launched on the Joliot-Curie HPC system on 2026-04-14 — delivery and integration, two dates for two events.

Standard records

2Q error under full-width parallel operation → not published · typical
A resource-state factory emits states; no two-qubit gate error is defined. Largest emitter-fused graph state is 8 photons at 0.4-2.3/min · 2024-05 · source [D] ⓘ
crosstalk → not published · typical
No crosstalk metric is defined for photonic resource-state generation from a single emitter · 2024-05 · source [D] ⓘ

Actors & goals — annotations

Fusion-based photonic (FBQC) (alternate) — PsiQuantum (Omega), Quandela, QuiX · G4 G6

Edges

needs: Linear-optical fusion (heralded), Single photon (discrete variable)
needed by: Fusion-based fault tolerance
° one of several that would do · the usual route, not a strict need

Used by 2 machines (0 primary · 2 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. 1 — Figure 1: Experimental setup. a Two type-II SPDC sources generate single photons at 1550 nm1550 wavelength. After temporal synchronisation u
A three-panel drawing, not a photograph: a 3D render of a tabletop setup - two photon-pair sources, delay lines, fibre arrays, a silicon photonic chip and superconducting nanowire detectors - and a rendered layout of the 8-mode chip. It is Figure 1 of the arXiv paper "Measurement-Based Quantum Computing on a Photonic Chip" by Jeldrik Huster and co-authors, including Stefanie Barz. It shows the full chain for photonic measurement-based computing: 1550 nm single photons are synchronised, entangled on chip by interferometers with thermo-optic phase shifters, then detected. “Fig. 1 — Figure 1: Experimental setup. a Two type-II SPDC sources generate single photons at 1550 nm1550 wavelength. After temporal synchronisation…” by Jeldrik Huster, Louis L. Hohmann, Kevin Edelmann, Stefanie Barz, arxiv.org/abs/2607.07890, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
Fig. 1 — Fig. 1: Outline of the architecture.a Setup for the measurement of parity check ZjZm of two foliated data qubits j and m at time intervals t and t +…
Five-panel drawn figure of an architecture for a photonic quantum computer. From npj Quantum Information (2026), 'Fusion-based implementation of qLDPC codes with quantum emitters', by Susan X. Chen, Matthias C. Löbl, Ming Lai Chan, Anders S. Sørensen and Stefano Paesani. Panel (b) stacks layers of a bivariate-bicycle low-density parity-check code, joined partly by long optical fibres; its inset shows a fusion, two photons each carried on two rails and mixed on beam splitters before four detectors. Panels (c)–(e) show the small entangled photon states the code is built from and the emitter circuits that make them. Notice the long-range fibre links. “Fig. 1 — Fig. 1: Outline of the architecture.a Setup for the measurement of parity check ZjZm of two foliated data qubits j and m at time intervals t and t + 1 by…” by Chen, Susan X.; Löbl, Matthias C.; Chan, Ming Lai; Sørensen, Anders S.; Paesani, Stefano, www.nature.com/articles/s41534-026-01233-y, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
Fig. 4 — Fig. 4: (a)-(c) Graph state measurement patterns that establish loss-tolerance. (d) Tree-encoded fusion scheme. (e) Preparing tree-encoded logical q…
A six-panel drawn figure: small graph-state diagrams of measurement patterns, a tree-encoded fusion joining two logical qubits, and heat maps of simulated fusion success rates. It is Figure 4 of "Photonic Quantum Computing on Spin Memory Architecture with Tree-Encoded Fusion" by Xiangyu Ren, Yuexun Huang and co-authors (arXiv). It illustrates fusion-based fault tolerance built on heralded linear-optical fusions, where tree-shaped encodings help a fusion tolerate photon loss and failure; compare the redundant, repeat-until-success and tree-encoded maps as the encoding parameters grow. “Fig. 4 — Fig. 4: (a)-(c) Graph state measurement patterns that establish loss-tolerance. (d) Tree-encoded fusion scheme. (e) Preparing tree-encoded logical qubit from…” by Xiangyu Ren et al., arxiv.org/abs/2604.21475, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
src_resource · layer 3 Gate mechanism · centrality 8.2 · empty slot — no technology yet · updated 2026-09-03

Multi-photon resource-state generator (RSG; 6-ring etc.)

The source-plus-fusion subsystem that must mass-produce encoded multi-photon graph states at code rate to feed fusion-based fault tolerance; nothing runs near that rate.

Verdict. Real: 8 photons fused into 6-rings and 7-trees at 0.4–2.3 coincidences/minute. Unproven: any generator within nine orders of magnitude of the needed rate. Demote if no fused state above 16 photons by 2029.

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

The source-plus-fusion subsystem that must manufacture, at code rate, the encoded graph states — canonically the 6-ring — that fusion-based fault tolerance consumes and destroys. Browne–Rudolph type-II fusion (2005) made it possible; Bartolucci et al. fixed the 6-ring as reference resource and set its loss budget S[179]. Best instance: MPQ Garching fused deterministically emitted photons into 6-rings and 7-trees, 8 photons, 0.4–2.3 coincidences/minute D[688]. Attributes: flying photons from fabricated emitters, heralded entangling, no fixed clock; electro-optic room-temperature control, pure-loss errors, photonic-IC fabrication.

Physics & limits

An n-photon graph from k-photon primitives costs ~n/k fusions, each 50% unboosted or 75% boosted; failure is heralded and erases one of the two measured outcomes, but every attempt burns a photon that must be indistinguishable and lossless. Yield is brightness × indistinguishability × fusion success × transmission over the whole state — the exponent is photon count, not depth. Hence the code's tolerance: 2.7% loss per photon with 6-rings, ~17% only with 168-photon states nobody can build S[179]. A 2026 re-analysis sharpens this: fusion failure alone sets a logical-error floor at zero loss, forcing very large distance for 10⁻¹⁰, while emitter-mediated fusion raises the threshold to 7.0–7.3% against an unencoded 6-ring's 0.38–0.82% S[264]fact.

Engineering state of the art

table
Date Figure Who Tag
2024-05 8 photons fused into 6-ring/7-tree graphs, 0.4–2.3/min, fidelity 0.34–0.85 MPQ D[688]
2025-02 Fusion Bell fidelity 99.22% (component only) PsiQuantum D[169]fact
2025-05 Reconfigurable 4-photon graph states, one QD, ~0.5 Hz C2N Paris-Saclay D[824]
2026-06 Emitter-fusion loss threshold 7.0–7.3% vs 0.38–0.82% Sparrow S[264]

Rate is the gap: components clear 99%, but optical fusion has not passed eight photons since 2024.

In the microwave domain, fusion is already deterministic: a superconducting circuit fused on-demand time-bin cluster states by non-destructive Bell projection of flying microwave photons, with qubit reset and reuse, into graph states with genuine multipartite entanglement across 13 photonic qubits D[885]. Those photons cannot leave the cryostat without a microwave–optical transducer, itself an empty slot, so the result does not fill this optical slot.

Quandela's 12-qubit Belenos/Lucy delivery to CEA is dated 2025-10 and the Lucy/Joliot-Curie HPC launch 2026-04-14; no single source reconciles the two. No independent group has replicated the 2024 MPQ 8-photon record as of 4 Sep 2026.

Manufacturing, materials & supply chain

No commercial resource-state generator exists; the nearest base is 300 mm photonic IC — GlobalFoundries' Quantum Technology Solutions Cfact and PIXEurope fact. Deterministic sources are the single point of failure: Sparrow Quantum, sole merchant vendor as of 4 Sep 2026, ships 20–35% system efficiency against its own 55.3% best device and USTC's 71.2% record Dfact; no cost or yield per state is public. I/O scales with photon count, not qubit count: a pump, switch tree and detectors per source, feed-forward within the photon's flight time per fusion — ~0.1–0.2 dB per switch against a ~0.5 dB budget at multiplexing depth ~10 D[169]. At 10³ states/s the wall is switch loss; at 10⁶, thousands of cryogenic detector channels under GHz feed-forward. ECCN 4A906 catches the machine; none names photon sources fact.

Role in the stack

In the photonic fusion-based architecture (PsiQuantum, Quandela, QuiX): requires linear-optical fusion and single photons, provides the only input fusion-based fault tolerance accepts. It sets the architecture's clock — on a fusion architecture there is no syndrome round (gate layers + transport + readout + reset); its place is taken by generation at ~0.4–2.3 min⁻¹ D[688] against the ~10⁹ s⁻¹ a teraquop machine (10¹² reliable operations) needs; the 24–168-photon slot next door is empty. Verification: the record is coincidence-counted tomography with fidelity 0.34–0.85 by graph type, unreplicated; nearest independent work is 4-photon states D[824]. Every threshold quoted is simulation.

Actors & economics

Who.
Organisation Role Country What they do Evidence
PsiQuantum developer US In-house fusion and generation Dfact
Quandela developer FR QD sources; Lucy on Joliot-Curie, running post-selected gates, not resource states Cfact
Sparrow Quantum supplier DK Sole merchant source vendor Dfact
MPQ Garching research DE Holds the 8-photon record D[688]

Money.
2025-04-10 · Sparrow Quantum · Series A · EUR 21.5 M · lead undisclosed · closed Pfact
2025-09 · PsiQuantum · Series E · USD 1 B at USD 7 B · closed Pfact
2026-07-22 · PsiQuantum · DARPA QBI Stage C expansion · USD 125 M · definitive fact

Market & supply chain. No merchant product; money goes to the inputs — source chips (Sparrow, a chokepoint) and fusion-capable PICs. Unit economics unquotable; only G3/G4 pay.

IP & standards. No dated patent family specific to resource-state generation as of 4 Sep 2026; the adjacent grant is ORCA's US 12,437,225 fact. No throughput standard exists.

Roadmaps & track record. (2025-07 · QuiX error-corrected generation 2027 · pending); (2025 · Quandela first logical qubit · missed; QBIT Stage A entered 2026-06-16 fact). No dated rate milestone exists.

Strategic reading. Generation rate, not fidelity, decides fusion photonics; a source vendor that also owns fusion gains leverage over integrators building sources in-house. If it fails, the architecture loses to CV/GKP and to matter qubits.

Outlook & open questions

Confirm by 2028: a fused state above 16 photons published with fidelity and rate; demote if still single digits. Best case 2029: merchant emitters plus on-chip fusion reach ≥10³ states/s. Worst case: the subthreshold floor holds and all-linear-optics 6-rings are abandoned. Open: can multiplexed sources beat emitters per useful state; does Sparrow close its 20–35%-to-55% gap. Watch: any rate figure in DARPA Stage C V&V.

References
  1. [169] K. Alexander et al., “A manufacturable platform for photonic quantum computing,” Nature, vol. 641, no. 8064, pp. 876–883, Feb. 2025, doi: 10.1038/s41586-025-08820-7. D
  2. [179] S. Bartolucci et al., “Fusion-based quantum computation,” Nat. Commun., vol. 14, Art. no. 912, Feb. 2023, doi: 10.1038/s41467-023-36493-1. arXiv:2101.09310. S
  3. [264] M. C. Löbl, L. A. M. Pettersson, J. Dragašević, S. X. Chen, and O. A. D. Sandberg, “The subthreshold issue of fusion-based quantum computing,” arXiv:2606.28490, Jun. 2026. S
  4. [688] P. Thomas, L. Ruscio, O. Morin, and G. Rempe, “Fusion of deterministically generated photonic graph states,” Nature, vol. 629, no. 8012, pp. 567–572, May 2024, doi: 10.1038/s41586-024-07357-5. D
  5. [824] H. Huet et al., “Deterministic and reconfigurable graph state generation with a single solid-state quantum emitter,” Nat. Commun., vol. 16, no. 1, Art. no. 4337, May 2025, doi: 10.1038/s41467-025-59693-3. D
  6. [885] Y. Li et al., “Deterministic and programmable fusion for the scalable generation of photonic graph states,” Nat. Phys., Sep. 2026, doi: 10.1038/s41567-026-03471-5. D