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Optical narrow-line qubit (ion S–D, atom clock) enc_opt

A qubit split between a ground level and a metastable level one optical photon above it — the S₁/₂–D₅/₂ quadrupole line of ⁴⁰Ca⁺ or ⁸⁸Sr⁺, or the ¹S₀–³P₀ clock line of neutral Sr/Yb — with one narrow-line laser driving every gate.

Optical narrow-line qubit (ion S–D, atom clock)

enc_opt · layer 2 Encoding · demonstrated · since 2003

Qubit on an optical transition to a metastable level: the S₁/₂–D₅/₂ quadrupole line of an alkaline-earth ion (⁴⁰Ca⁺ at 729 nm, ⁸⁸Sr⁺ at 674 nm) or the ¹S₀–³P₀ clock line of a neutral Sr/Yb atom. One narrow-line laser drives every gate; coherence is bounded by the upper level's lifetime and the laser's phase noise, not by hyperfine structure — the classic Innsbruck encoding, still the AQT product's, and planqc's clock qubit.

Brief →

Key references

[253] I. Pogorelov et al., “Compact Ion-Trap Quantum Computing Demonstrator,” PRX Quantum, vol. … · 2021
[376] F. Schmidt-Kaler et al., “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Na… · 2003
[255] L. Postler et al., “Demonstration of fault-tolerant universal quantum gate operations,” Na… · 2022
[377] V. Letchumanan, M. A. Wilson, P. Gill, and A. G. Sinclair, “Lifetime measurement of the me… · 2005
[378] M. A. Norcia et al., “Seconds-scale coherence on an optical clock transition in a tweezer … · 2019

Design space — attributes

(a) carrier affinity
natural
(b) time · entangling
—
(c) readout
—
(d) mobility
—
(e) control
—
(f) error structure
stochastic Pauli, leakage
(g) manufacturing
—

Evaluation space — dated attributes

D₅/₂ lifetime (⁴⁰Ca⁺), the encoding's ceiling → τ = 1.17 s (AQT demonstrator, ⁴⁰Ca⁺ |4S₁/₂,m=−1/2⟩–|3D₅/₂,m=−1/2⟩ at 729 nm)
defines: error channel · 2021-01 · source

Register carriers: AQT IBEX Q1, PSNC PIAST-Q (an AQT system), Innsbruck (⁴⁰Ca⁺ S–D); planqc MAQCS (Sr clock qubit — resolves the register's gap G-enc-clock). Hyperfine-free ⁴⁰Ca⁺ has no field-insensitive clock transition, so its T2 rests on magnetic shielding and laser stability; the atomic clock line is field-insensitive but laser-linewidth-limited; the 'omg' erasure proposal reuses the same metastable manifold.

Edges

needs: Trapped atomic ion°, Alkaline-earth(-like) atom (Yb/Sr) — erasure-native°
alternatives: Hyperfine / clock-state qubit
° one of several that would do · the usual route, not a strict need

Used by 7 machines (7 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. 1 — Fig. 1: Chip-scale ultra-narrow linewidth stabilized Brillouin laser for trapped ion qubit operations.a Conventional optical qubits utilize stabiliz…
Six-panel figure on replacing meter-scale laser stabilization with chips. (a) A drawing of the standard approach: a laser locked to a bulk reference cavity (about 1,000 L) feeding an ion trap. (b) A rendered vision of one chip with lasers at 422, 461, 674, 1033 and 1092 nm, a Brillouin (SBS) laser, a coil resonator and an ion trap, beside a fluorescence image of a trapped ion. (c) Photographs of the SBS, coil-resonator and ion-trap chips next to a penny. (d)–(f) The frequency-correction loop and strontium-88 ion levels, with the qubit on the 674 nm optical transition. It is Fig. 1 of Chauhan et al., Nature Communications (2026). “Fig. 1 — Fig. 1: Chip-scale ultra-narrow linewidth stabilized Brillouin laser for trapped ion qubit operations.a Conventional optical qubits utilize stabilized lasers…” by Chauhan et al., www.nature.com/articles/s41467-026-69948-2, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
Fig. 4 — Figure 4: Spin-echo characterization of the quadrupole interaction. (a) Measurement of the differential quadrupole shift between |↓⟩ and |↑⟩
A three-panel data figure: phase shifts and frequency shifts measured with Ramsey and spin-echo sequences, with a small drawing of a ring-shaped electron orbit around an atom's core. It comes from arXiv paper 2608.06988 by Thielemann, Götzelmann, Thomas, Pultinevicius, Humić, Hölzl and Meinert. It shows an optical clock qubit (an optical narrow-line qubit) carried by the ionic core of a circular Rydberg atom and how the Rydberg electron shifts it; note it is not a trapped-ion Mølmer–Sørensen gate. The qubit is driven by laser pulses marked 'opt.': its echo phase grows linearly over 120 µs, and the shift, up to about 40 kHz, follows the orientation of the ring. “Fig. 4 — Figure 4: Spin-echo characterization of the quadrupole interaction. (a) Measurement of the differential quadrupole shift between |↓⟩ and…” by Fabian Thielemann et al., arxiv.org/abs/2608.06988, CC BY SA 4.0 (creativecommons.org/licenses/by-sa/4.0/)
Fig. 1 — Figure 1: Electronic level structure. (a) Considered energy levels of a single Sr+88-ion. The computational basis states are |0⟩ an
Three-panel drawing: a level scheme of one strontium-88 ion whose qubit states are the 5S1/2 ground level and the long-lived 4D5/2 level, with a laser exciting the upper qubit state to a Rydberg level and a microwave field mixing two Rydberg levels; three such ions in a linear Paul trap about 5 µm apart, interacting through their giant Rydberg dipoles; and the resulting dressed-state ladders. From arXiv paper 2512.16641 by Katrin Bolsmann, Markus Müller and co-authors. It illustrates an optical S–D qubit and a Rydberg-ion route to fast three-qubit gates; the microwave only dresses Rydberg states, so this is not a laser-free microwave gate. “Fig. 1 — Figure 1: Electronic level structure. (a) Considered energy levels of a single Sr+88-ion. The computational basis states are |0⟩…” by Katrin Bolsmann, Thiago L. M. Guedes, Weibin Li, Joseph W. P. Wilkinson, Igor Lesanovsky, Markus Müller, arxiv.org/abs/2512.16641, CC BY 4.0 (creativecommons.org/licenses/by/4.0/)
enc_opt · layer 2 Encoding · centrality 4.4 · demonstrated · since 2003 · updated 2026-09-26

Optical narrow-line qubit (ion S–D, atom clock)

A qubit split between a ground level and a metastable level one optical photon above it — the S₁/₂–D₅/₂ quadrupole line of ⁴⁰Ca⁺ or ⁸⁸Sr⁺, or the ¹S₀–³P₀ clock line of neutral Sr/Yb — with one narrow-line laser driving every gate.

Verdict. Proven on both carriers — ⁴⁰Ca⁺ in AQT's shipped machines, ⁸⁸Sr clock qubits at 99.62(3) % entangling fidelity in the laboratory — but coherence is set by the laser and the magnetic field, not the atom: 90(30) ms against a 1.168(7) s D₅/₂ lifetime in AQT's demonstrator. As of 2026-09-26 planqc, the register's only company on the atomic clock qubit, publishes no gate error or coherence time of its own.

Key references

T2 = Ramsey phase-coherence time; MS = Mølmer–Sørensen gate; CZ = controlled-Z gate; SPAM = state preparation and measurement; QV = quantum volume; TRL = technology readiness level; G1–G7 = the report's goal classes (see Actors & economics).

Identity & lineage

The ion realisation stores |1⟩ in |4S₁/₂, m = −1/2⟩ and |0⟩ in |3D₅/₂, m = −1/2⟩ of ⁴⁰Ca⁺, coupled by the 729 nm electric-quadrupole line D[253]. Innsbruck ran the Cirac–Zoller CNOT on two such ions in 2003 D[376]; the encoding carried its fault-tolerant universal gate set of 2022 D[255] and AQT's products. ⁸⁸Sr⁺ at 674 nm is the sister ion, its D₅/₂ lifetime measured on a single ion at NPL D[377]. The atom realisation uses ¹S₀ and ³P₀ of neutral strontium, the lattice-clock line, run in tweezers since 2019 D[378], with alkaline-earth Rydberg entanglement from 2020 D[379]. Attributes: natural carrier; no time, mobility or control of its own; errors Pauli plus leakage.

Physics & limits

Three ceilings. Lifetime: τ(D₅/₂, ⁴⁰Ca⁺) = 1.168(7) s D[253], so T2 ≤ 2τ ≈ 2.3 s; decay from m = −1/2 may land in S₁/₂, m = +1/2, outside the qubit pair — leakage G. The Sr ³P₀ level outlives the >3 s atomic coherence measured in a tweezer clock D[378]. Field: ⁴⁰Ca⁺ has no hyperfine structure, hence no field-insensitive line; with g(D₅/₂) = 6/5 and g(S₁/₂) ≈ 2.002 the qubit line moves 0.40 μB B ≈ 5.6 kHz per µT, so 0.1 µT of noise shifts it 560 Hz, a radian in 0.3 ms S. Mitigations: shielding, mains feed-forward, dynamical decoupling, decoherence-free pairs. The J = 0 → J = 0 clock line has no first-order electronic Zeeman shift G. Laser: every gate references the laser phase, so T2 is the laser's coherence over the circuit. AQT measured Ramsey T2 = 90(30) ms on the optical qubit against 18(1) ms on the ground-state Zeeman qubit, naming magnetic noise from mains and neighbouring magnets beyond 25 ms D[253] — 26× below the lifetime bound S.

Engineering state of the art

table
Year Figure Who Tag+key
2003-03 Cirac–Zoller CNOT on two ⁴⁰Ca⁺ S–D qubits Innsbruck D[376]
2019 Sr tweezer clock, >3 s coherence, duty cycle up to 96 % JILA D[378]
2021-06 τ(D₅/₂) 1.168(7) s; T2 90(30) ms; 24-ion GHZ fidelity 0.544(7) AQT/Innsbruck D[253]
2022-08 Sr clock-qubit Bell state 92.8(2.0) % SPAM-corrected; Bell coherence 4.2(6) s JILA D[380]
2024-10 ⁸⁸Sr clock-qubit entangling gate 99.62(3) %; ancilla readout Caltech D[381]
2026-05 LYNX QV 32,768; first units Q4 2026 AQT C[128]

The shipped figure: IBEX Q1, 12 qubits, 1Q 99.97(1) %, 2Q 98.7(3) % over all pairs, QV 128 C[382]; MARMOT, 20 qubits, 2Q (98.47 ± 0.3) % on an 11-qubit register C[383]. Atoms lead on fidelity, ions on deployment.

Manufacturing, materials & supply chain

No fabricated part; the item is the narrow-line laser — 729 nm (Ca⁺), 674 nm (Sr⁺), 698 nm (Sr) — locked to a high-finesse reference cavity G. AQT's demonstrator uses seven wavelengths (375, 397, 423, 515, 729, 854, 866 nm); the 854 nm quench laser exists only because the qubit level is metastable D[253]. IBEX Q1 fills two 19-inch racks, 2 m², <2 kW, at (22.0 ± 1.5) °C C[382].

Control, readout & I/O burden

One phase-stable laser per species, split into individually addressed 729 nm beams on the ion chain D[255]; fibre and modulator phase noise lands directly on the qubit S. Readout is electron shelving — D₅/₂ stays dark on the 397 nm cycling line — by camera or photodiode, ~99.9 % in 300 µs D[253]; atoms add ancilla-based readout with non-destructive conditional reset D[381].

Role in the stack

Slot 2 of Trapped ions — linear Paul trap with individual laser addressing, and of Rydberg tweezer array — alkaline-earth(-like) (Yb/Sr), erasure-native, beside enc_hf and enc_omg. It requires either ion (S–D quadrupole transition) or ae_atom (¹S₀–³P₀ of Sr/Yb). It is replaced by enc_hf, whose field-insensitive ground-state pair trades the one-laser drive for Raman or microwave control. It provides single-laser universality and shelving readout, and the metastable manifold that the omg erasure scheme reuses S[333]; it defines the channel metric τ(D₅/₂) = 1.17 s. Register: IBEX Q1 (Marmot / PINE / LYNX) ✅ and University of Innsbruck / IQOQI research trap ✅; PIAST-Q 🔎 (20 AQT qubits, species unnamed — consistent with MARMOT); MAQCS and DiNAQC 🔎. Gap G-enc-clock is answered: the ledger's 10–100 ms is planqc's range in a press profile P[247], 30–300× below published clock-qubit arrays D[380], so it measures a laser, not the encoding.

Evidence — how the numbers were measured

AQT's 98.7(3) % is an all-pairs product average C[382]; a secondary 97.7 % in the register stays unreconciled. The demonstrator's 0.997(6) is a two-ion Bell-state fidelity, not randomised benchmarking D[253]. Caltech's 99.62(3) % is averaged over symmetric input states D[381]. LYNX publishes QV without qubit count or fidelity C[128]. No vendor reports T2 beside τ, as of 2026-09-26.

Not published: planqc's computing species and transition — its technology and LRZ pages name neither strontium nor the clock transition — and the species and product of PIAST-Q.

Actors & economics

Who.
Organisation Role Country What exactly they do with this technology Evidence
AQT developer Austria IBEX Q1, MARMOT, LYNX on ⁴⁰Ca⁺ C[383]
University of Innsbruck research Austria Origin; fault-tolerant gates on ⁴⁰Ca⁺ D[255]
planqc developer Germany Sr clock-transition qubits; MAQCS at LRZ P[247]
JILA / Kaufman group research US Sr clock-qubit Bell states D[380]
Caltech / Endres group research US ⁸⁸Sr clock-qubit gates, ancilla readout D[381]

Money.

  • 2024-07 · planqc · Series A · €50 M · closed P[247]
  • 2026-09-09 · planqc / LRZ · MAQCS, first hardware delivered · almost €20 M (BMFTR) · under construction C[161]

Market & supply chain. One ultrastable laser and cavity per species is the concentration point. Pays into G2, G3 and G7.

IP & standards. No patent search was run; no standard defines reporting of laser-limited T2, as of 2026-09-26.

Roadmaps & track record. (AQT · LYNX first units · Q4 2026) C[128]; (planqc · MAQCS co-processor · end-2027, TRL 5 today, 6–7 targeted) R[161].

Strategic reading. On ions the encoding is AQT's legacy, its depth capped by τ; on atoms it is the best-gated clock qubit, and a clock-grade laser on a processor is the prize.

Outlook & open questions

Confirm the atomic branch if planqc publishes clock-qubit T2 and CZ fidelity on MAQCS hardware by 2027-12-31; demote it to metrology if not. Confirm the ion branch if LYNX ships in Q4 2026 with per-pair 2Q figures. Open questions. (1) What laser linewidth would bring ⁴⁰Ca⁺ T2 to its 2.3 s bound? (2) Is planqc's 10–100 ms the lattice, the laser or the field? (3) How much D₅/₂ decay leaks versus flips? (4) Will AQT move to a hyperfine or omg species? (5) Can one clock laser serve 10³ sites?

References
  1. [128] Alpine Quantum Technologies GmbH, “AQT Sets New European Industry Standard: Introducing the ‘LYNX’ Series with Record-Breaking Quantum Volume,” AQT, May 5, 2026. [Online]. Available: https://www.aqt.eu/lynx-quantum-volume-record/ C
  2. [161] planqc, “MAQCS takes shape as first quantum computing hardware arrives at LRZ,” Sep. 9, 2026. [Online]. Available: https://planqc.eu/news/maqcs-takes-shape-as-first-quantum-computing-hardware-arrives-at-lrz C
  3. [247] M. Ivezic, “Planqc,” PostQuantum, May 22, 2025. [Online]. Available: https://postquantum.com/quantum-computing-companies/planqc/ P
  4. [253] I. Pogorelov et al., “Compact Ion-Trap Quantum Computing Demonstrator,” PRX Quantum, vol. 2, no. 2, Art. no. 020343, Jun. 2021, doi: 10.1103/PRXQuantum.2.020343. arXiv:2101.11390. D
  5. [255] L. Postler et al., “Demonstration of fault-tolerant universal quantum gate operations,” Nature, vol. 605, pp. 675–680, 2022, doi: 10.1038/s41586-022-04721-1. arXiv:2111.12654. D
  6. [333] D. T. C. Allcock et al., “omg blueprint for trapped ion quantum computing with metastable states,” Appl. Phys. Lett., vol. 119, no. 21, Art. no. 214002, Nov. 2021, doi: 10.1063/5.0069544. arXiv:2109.01272. S
  7. [376] F. Schmidt-Kaler et al., “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature, vol. 422, pp. 408–411, Mar. 2003, doi: 10.1038/nature01494. D
  8. [377] V. Letchumanan, M. A. Wilson, P. Gill, and A. G. Sinclair, “Lifetime measurement of the metastable 4d ²D₅/₂ state in ⁸⁸Sr⁺ using a single trapped ion,” Phys. Rev. A, vol. 72, Art. no. 012509, Jul. 2005, doi: 10.1103/PhysRevA.72.012509. D
  9. [378] M. A. Norcia et al., “Seconds-scale coherence on an optical clock transition in a tweezer array,” Science, vol. 366, p. 93, 2019. arXiv:1904.10934. D
  10. [379] I. S. Madjarov et al., “High-fidelity entanglement and detection of alkaline-earth Rydberg atoms,” Nat. Phys., vol. 16, pp. 857–861, May 2020, doi: 10.1038/s41567-020-0903-z. arXiv:2001.04455. D
  11. [380] N. Schine, A. W. Young, W. J. Eckner, M. J. Martin, and A. M. Kaufman, “Long-lived Bell states in an array of optical clock qubits,” Nat. Phys., vol. 18, pp. 1067–1073, Aug. 2022, doi: 10.1038/s41567-022-01678-w. arXiv:2111.14653. D
  12. [381] R. Finkelstein et al., “Universal quantum operations and ancilla-based read-out for tweezer clocks,” Nature, vol. 634, pp. 321–327, Oct. 2024, doi: 10.1038/s41586-024-08005-8. D
  13. [382] Alpine Quantum Technologies, “19-inch rack-mounted quantum computer,” AQT. [Online]. Available: https://www.aqt.eu/products/ibex-q1/ C
  14. [383] Alpine Quantum Technologies (AQT), “Quantum computer products built for performance,” AQT. [Online]. Available: https://www.aqt.eu/products/ C