REVIEW 2 major objections 4 minor 2 cited by
Wafer-Scale Squeezed-Light Chips
T0 review · 2 major / 4 minor · reviewed 2026-08-15 · deepseek-v4-flash
Pith's one-line read Across a 4-inch wafer, all eight silicon nitride dies produce 2.9–3.1 dB of squeezed light with less than 0.2 dB variation.
desk verdict Wafer-scale squeezed-light demo is real and worth refereeing, but the <0.2 dB uniformity claim rests on one best-of-four number per die and the paper overstates its own >3 dB claim. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing element is the strongly overcoupled silicon nitride microring resonator used as a squeezer below threshold. Its escape efficiency \(\eta = 1 - Q_L/Q_i\), where \(Q_i\) is the intrinsic quality factor and \(Q_L\) the loaded quality factor, sets the maximum squeezing that can leave the resonator; with \(Q_i \approx 10 \times $10^{6}$\) and \(Q_L \approx 0.83 \times $10^{6}$\), the inferred \(\eta \approx 91\%\) corresponds to about 10.5 dB of on-chip squeezing. The measured 2.9–3.1 dB is then set by the total detection efficiency after generation, which includes two cascaded add-drop pump-rejection filters (each with 30–40 dB extinction), an inverse-tapered edge coupler (about 75% chip–fiber coupling), free-space propagation (95%), interference visibility (98%), and photodiode quantum efficiency (88%). The quantum model, derived from coupled-mode equations linearized below threshold, uses these independently measured quantities as inputs and correctly predicts the pump-power dependence of squeezing and anti-squeezing.
What would settle it
Re-measure squeezing on all 32 circuits (four per die across eight dies) using a shot-noise level set by an independently calibrated detector and compute the full distribution; if the wafer-wide spread of raw squeezing values exceeds 0.2 dB or any circuit falls below 2.9 dB, the central uniformity claim fails as stated.
Extended reading notes
Core claim
The paper's central claim is that wafer-scale, CMOS-compatible silicon nitride photonics can produce uniformly squeezed light. Across a single 4-inch wafer, all eight measured dies yield 2.9–3.1 dB of directly measured quadrature squeezing (average 2.96 dB, spread <0.2 dB), with four dies at or above 3.0 dB. Working below the parametric oscillation threshold, a continuous-wave pump drives non-degenerate four-wave mixing in a strongly overcoupled, high-Q microring with escape efficiency \(\eta = 1 - Q_L/Q_i > 91\%\), implying up to about 10.5 dB of squeezing available on-chip. The measured 3.0 dB squeezing (with 6.0 dB anti-squeezing at 50 mW pump power) is limited not by the chip but by the overall off-chip collection and detection efficiency of roughly 60%, consisting of edge-coupler loss, free-space propagation, interference visibility, and photodiode efficiency. The observed power dependence matches a quantum coupled-mode model parameterized solely by independently measured device parameters and experimental settings.
Load-bearing premise
The claim that the wafer is uniform at the 2.9–3.1 dB level assumes the shot-noise calibration used in balanced homodyne detection is accurate and that reporting each die's best of four circuit variants fairly represents the wafer; if the calibration is off or the selection hides defective circuits, the <0.2 dB uniformity claim does not hold.
Editorial extensions
If this is right
- A single 4-inch wafer can now yield a uniform bank of on-chip squeezed-light sources, so arrays of continuous-variable quantum processors or multiplexed entanglement sources could be fabricated in a standard CMOS-compatible foundry flow.
- The measured squeezing crosses the commonly cited 3 dB threshold for continuous-variable entanglement swapping and teleportation, moving from marginal noise reduction to operationally useful nonclassical resources.
- Because the dominant remaining loss is off-chip (fiber coupling and photodiode efficiency), straightforward packaging and detection improvements should push measured squeezing substantially higher, approaching the roughly 10.5 dB available from the resonator itself.
- The same silicon nitride platform can host reconfigurable interferometers, long delay lines, modulators, and detectors, so this wafer-scale source is a step toward single-chip continuous-variable quantum processors.
- The agreement of the model with data, using only independent device parameters, makes the model a predictive tool for designing future squeezing circuits without ad hoc fitting.
Reading between the lines
- (Editorial inference) The paper reports the maximum squeezing per die, chosen from four circuit variants per die; a full yield analysis counting all circuits that meet the 2.9 dB bar would give a truer measure of manufacturability than the per-die best case.
- (Editorial inference) If the same uniformity holds across multiple wafer runs, the dominant cost of quantum photonic hardware shifts from generating nonclassical light to integration and packaging, which would accelerate the roadmap for continuous-variable quantum computing.
- (Editorial inference) A natural extension is to test whether the uniform fabrication translates to broadband squeezing across many mode pairs, which would directly support quantum microcomb sources for frequency-multiplexed cluster states.
- (Editorial inference) The authors do not report temperature sensitivity of the squeezing; a systematic measurement of squeezing versus chip temperature would validate the thermo-optic stabilization strategy used for wafer-scale operation.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper reports wafer-scale fabrication and measurement of two-mode squeezed vacuum sources on a CMOS-compatible Si3N4 platform. Eight dies on a 4-inch wafer are characterized; each die contains four circuit variants differing in pump-rejection filter parameters, and the directly measured maximum squeezing per die is reported to lie between 2.9 and 3.1 dB, i.e., <0.2 dB variation. The authors also present classical characterization of quality factors and escape efficiencies, a quantum coupled-mode model for the squeezing spectra, and a comparison of measured squeezing versus pump power with the model. The central claims are wafer-scale uniformity, reproducibility, and agreement with a first-principles theory parameterized by independently extracted device parameters.
Significance. If the uniformity and squeezing-level claims hold, this is a substantive advance: it would demonstrate a reproducible, foundry-compatible route to nonclassical light generation across a full wafer, which is a prerequisite for scalable continuous-variable processors and multiplexed entanglement sources. The paper's strengths include direct quadrature-noise traces for all eight dies, a physically grounded coupled-mode model (Eqs. 1-15) with a clear set of independently characterized inputs, and a credible loss budget identifying the dominant limitation (approximately 60% overall collection efficiency). The work also usefully compares with previous chip-level demonstrations and quantifies the improvement from integrated pump rejection.
major comments (2)
- [Section 3.1, Fig. 2a] The headline claim of 'device-to-device variation <0.2 dB' is not supported by the data as presented. Each die integrates four circuits with different pump-rejection filter parameters, and Fig. 2a labels only the directly measured maximum squeezing level of each die. The reported 2.9-3.1 dB range is therefore a range of per-die maxima, i.e., an order statistic, not a characterization of the distribution of all 32 circuits. Even if individual circuits varied by, say, 1 dB, the per-die maxima could still fall in a 0.2 dB window. Please report the squeezing level for every circuit on every die (or a statistical summary over all circuits), or alternatively restrict the claim to 'best circuit per die' and change the wording accordingly. This is load-bearing because the paper's main claim is wafer-scale device-to-device uniformity.
- [Section 3.2, Fig. 4b] The agreement between the measured squeezing/anti-squeezing data and the theoretical model is stated only qualitatively ('agree well'), and the data points in Fig. 4b have no error bars or repeated-measurement uncertainties. Since the manuscript emphasizes that the model is parameterized solely by independently extracted device parameters and experimental settings, please provide measurement uncertainties (e.g., from repeated phase scans or repeated power settings) and a quantitative agreement metric, such as residuals or a reduced chi-squared value. This would make the model-validation claim more robust and would also clarify how the 2.9-3.1 dB wafer-level values relate to the model's prediction.
minor comments (4)
- [Section 1] The phrase 'squeezed light is extreme vulnerable' should read 'extremely vulnerable'.
- [Fig. 3, Methods] The histograms in Figs. 3(c)-(e) would benefit from stating the number of resonances/dies included and the uncertainties in the Lorentzian fits; currently the text gives only 'most probable values' without a measure of the sample size or the fit error.
- [Methods] In the derivation of the model, the word 'conjuction' appears; it should be 'conjunction'.
- [Abstract / Introduction] The abstract says 'device-to-device variation <0.2 dB', while the Introduction states 'device-to-device variation <0.2 dB (2.9-3.1 dB)'. Please use a consistent term (e.g., 'per-die maximum variation') that matches the actual measured quantity.
Circularity Check
No significant circularity found: the headline squeezing values are direct measurements, and the theoretical model is parameterized by independently characterized device parameters.
full rationale
The paper's central result is a direct experimental measurement: homodyne quadrature noise traces normalized to a calibrated shot-noise level (Fig. 2b, Fig. 4a). No part of the 2.9-3.1 dB / <0.2 dB claim is derived from the theoretical model; the model is used only to plot dashed curves in Fig. 4b. The model's inputs are independently characterized: Q_i and Q_L from Lorentzian fits (Fig. 3b-e), escape efficiency eta from the Q_L/Q_i relation, and detection efficiency from separately listed coupling, propagation, visibility, and photodiode efficiencies. The Methods section contains a self-contained derivation of the quantum coupled-mode equations and the homodyne detection output operator, so the theory does not reduce to a fitted parameter renamed as a prediction. Citations of Refs. [48,49] are for a standard coupled-mode formalism rather than for the headline wafer-scale result, and the cited prior work is not invoked as an unverified uniqueness theorem. The per-die maximum labeling in Fig. 2a is a presentation choice that may bear on how the uniformity claim is interpreted, but it is not a case of a prediction reducing to a fitted input or a self-citation chain. Accordingly, no circular step is exhibited under the required quote-and-reduction standard.
Assumptions & free parameters
assumptions (4)
- standard math Quantum coupled-mode equations with vacuum noise operators correctly describe below-threshold FWM in the microresonator (Eq. 6).
- domain assumption Perfect overlap of the azimuthal modes is assumed in the coupled-mode model.
- domain assumption The balanced homodyne detector is shot-noise-limited at the 7 MHz measurement frequency.
- domain assumption All detection losses can be combined into a single quantum efficiency eta_total (Eq. 12).
Cite this review
Pith. "Pith review of Wafer-Scale Squeezed-Light Chips." pith.science (2026). https://pith.science/paper/PO6P5ZPV
@misc{pith2026250910445,
author = {Pith},
title = {Pith review of: Wafer-Scale Squeezed-Light Chips},
year = {2026},
howpublished = {\url{https://pith.science/paper/PO6P5ZPV}},
note = {Machine review of arXiv:2509.10445}
}
abstract
Squeezed-light generation in photonic integrated circuits (PICs) is essential for scalable continuous-variable (CV) quantum information processing. By suppressing quantum fluctuations below the shot-noise limit, squeezed states enable quantum-enhanced sensing and serve as a standard resource for CV quantum information processing. While chip-level squeezed-light sources have been demonstrated, extending this capability to the wafer level with reproducible strong squeezing to bolster large-scale quantum-enhanced sensing and information processing has been hindered by squeezed light's extreme susceptibility to device imperfections. Here, we report wafer-scale fabrication, generation, and characterization of two-mode squeezed-vacuum states on a fully complementary metal-oxide-semiconductor (CMOS)-compatible silicon nitride (Si$_3$N$_4$) PIC platform. Across a 4-inch wafer, 8 dies yield 2.9-3.1 dB directly measured quadrature squeezing with $< 0.2$ dB variation, demonstrating excellent uniformity. This performance is enabled by co-integrating ultralow-loss, strongly overcoupled high-$Q$ microresonators, cascaded pump-rejection filters, and low-loss inverse-tapered edge couplers. The measurements agree with a first-principles theoretical model parameterized solely by independently extracted device parameters and experimental settings. The measured squeezing level can be further improved by enhancing the efficiencies of off-chip detection and chip-to-fiber coupling. These results establish a reproducible, wafer-scale route to nonclassical-light generation in integrated photonics and lay the groundwork for scalable CV processors, multiplexed entanglement sources, and quantum-enhanced sensing.
Forward citations
Cited by 2 Pith papers
-
Heterogeneously Integrated Squeezed-Light Generation and Detection on a Single Photonic Chip
A single silicon-nitride chip now generates, routes, and detects a 34-mode squeezed quantum microcomb with about 3 dB of raw squeezing.
-
On-chip Quantum Measurement of Squeezing Generated from a Silicon Nitride Micro-ring Resonator
Two cascaded silicon nitride micro-rings on one chip amplify and measure squeezed light before off-chip loss, yielding 4.6 dB observed squeezing despite 7 dB downstream loss.
Reference graph
Works this paper leans on
-
[1]
Arute, F.et al.Quantum supremacy using a programmable supercon- ducting processor.Nature574(7779), 505–510 (2019)
work page 2019
-
[2]
Madsen, L. S.et al.Quantum computational advantage with a pro- grammable photonic processor.Nature606(7912), 75–81 (2022)
work page 2022
-
[3]
Pirandola, S., Bardhan, B. R., Gehring, T., Weedbrook, C. & Lloyd, S. Advances in photonic quantum sensing.Nature Photonics12(12), 724– 733 (2018)
work page 2018
-
[4]
Degen, C. L., Reinhard, F. & Cappellaro, P. Quantum sensing.Reviews of Modern Physics89(3), 035002 (2017)
work page 2017
- [5]
-
[6]
Walls, D. F. Squeezed states of light.Nature306(5939), 141–146 (1983)
work page 1983
-
[7]
Villar, A. d. S., Cruz, L., Cassemiro, K. N., Martinelli, M. & Nussen- zveig, P. Generation of bright two-color continuous variable entanglement. Physical review letters95(24), 243603 (2005)
work page 2005
-
[8]
Lawrie, B. J., Lett, P. D., Marino, A. M. & Pooser, R. C. Quantum sensing with squeezed light.Acs Photonics6(6), 1307–1318 (2019) . 12Wafer-Scale Squeezed-Light Chips
work page 2019
Show all 53 references
-
[9]
L., Furusawa, A
O’brien, J. L., Furusawa, A. & Vuˇ ckovi´ c, J. Photonic quantum technolo- gies.Nature Photonics3(12), 687–695 (2009)
2009
-
[10]
Masada, G.et al.Continuous-variable entanglement on a chip.Nature Photonics9(5), 316–319 (2015)
2015
-
[11]
& Valley, J
Slusher, R., Hollberg, L., Yurke, B., Mertz, J. & Valley, J. Observation of squeezed states generated by four-wave mixing in an optical cavity. Physical review letters55(22), 2409 (1985)
1985
-
[12]
Vahlbruch, H.et al.Observation of squeezed light with 10-db quantum- noise reduction.Physical Review Letters100(3), 033602 (2008)
2008
-
[13]
& Schnabel, R
Sch¨ onbeck, A., Thies, F. & Schnabel, R. 13 db squeezed vacuum states at 1550 nm from 12 mw external pump power at 775 nm.Optics Letters 43(1), 110–113 (2017)
2017
-
[14]
& Schnabel, R
Vahlbruch, H., Mehmet, M., Danzmann, K. & Schnabel, R. Detection of 15 db squeezed states of light and their application for the absolute calibration of photoelectric quantum efficiency.Physical Review Letters 117(11), 110801 (2016)
2016
-
[15]
Aasi, J.et al.Enhanced sensitivity of the ligo gravitational wave detector by using squeezed states of light.Nature Photonics7(8), 613–619 (2013)
2013
-
[16]
Ganapathy, D.et al.Broadband quantum enhancement of the ligo detec- tors with frequency-dependent squeezing.Physical Review X13(4), 041021 (2023)
2023
-
[17]
A.et al.Quantum-enhanced nonlinear microscopy.Nature 594(7862), 201–206 (2021)
Casacio, C. A.et al.Quantum-enhanced nonlinear microscopy.Nature 594(7862), 201–206 (2021)
2021
-
[18]
I.et al.Squeezed dual-comb spectroscopy.Science 387(6734), 653–658 (2025)
Herman, D. I.et al.Squeezed dual-comb spectroscopy.Science 387(6734), 653–658 (2025)
2025
-
[19]
Hariri, A.et al.Entangled dual-comb spectroscopy.arXiv preprint arXiv:2412.19800(2024)
2024 arXiv
-
[20]
Asavanant, W.et al.Generation of time-domain-multiplexed two- dimensional cluster state.Science366(6463), 373–376 (2019)
2019
-
[21]
V., Guo, X., Breum, C
Larsen, M. V., Guo, X., Breum, C. R., Neergaard-Nielsen, J. S. & Ander- sen, U. L. Deterministic generation of a two-dimensional cluster state. Science366(6463), 369–372 (2019)
2019
-
[22]
Wafer-Scale Squeezed-Light Chips13
Xia, Y.et al.Demonstration of a reconfigurable entangled radio-frequency photonic sensor network.Physical Review Letters124(15), 150502 (2020) . Wafer-Scale Squeezed-Light Chips13
2020
-
[23]
Guo, X.et al.Distributed quantum sensing in a continuous-variable entangled network.Nature Physics16(3), 281–284 (2020)
2020
-
[24]
Xia, Y.et al.Entanglement-enhanced optomechanical sensing.Nature Photonics17(6), 470–477 (2023)
2023
-
[25]
& Zhang, Z
Xia, Y., Li, W., Zhuang, Q. & Zhang, Z. Quantum-enhanced data classi- fication with a variational entangled sensor network.Physical Review X 11(2), 021047 (2021)
2021
-
[26]
Moody, G.et al.2022 roadmap on integrated quantum photonics.Journal of Physics: Photonics4(1), 012501 (2022)
2022
-
[27]
Wang, Z.et al.Large-scale cluster quantum microcombs.Light: Science & Applications14(1), 164 (2025)
2025
-
[28]
Jia, X.et al.Continuous-variable multipartite entanglement in an integrated microcomb.Nature1–8 (2025)
2025
-
[29]
F.et al.Silicon photonics interfaced with integrated electronics for 9 ghz measurement of squeezed light.Nature Photonics15(1), 11–15 (2021)
Tasker, J. F.et al.Silicon photonics interfaced with integrated electronics for 9 ghz measurement of squeezed light.Nature Photonics15(1), 11–15 (2021)
2021
-
[30]
Gurses, V.et al.An on-chip phased array for non-classical light.Nature Communications16(1), 6849 (2025)
2025
-
[31]
& Braunstein, S
Van Loock, P. & Braunstein, S. L. Unconditional teleportation of continuous-variable entanglement.Physical Review A61(1), 010302 (1999)
1999
-
[32]
& Fujii, K
Fukui, K., Tomita, A., Okamoto, A. & Fujii, K. High-threshold fault- tolerant quantum computation with analog quantum error correction. Physical Review X8(2), 021054 (2018)
2018
-
[33]
High-threshold fault-tolerant quantum computation with the gottesman-kitaev-preskill qubit under noise in an optical setup.Physical Review A107(5), 052414 (2023)
Fukui, K. High-threshold fault-tolerant quantum computation with the gottesman-kitaev-preskill qubit under noise in an optical setup.Physical Review A107(5), 052414 (2023)
2023
-
[34]
& Fan, L
Chen, P.-K., Briggs, I., Hou, S. & Fan, L. Ultra-broadband quadrature squeezing with thin-film lithium niobate nanophotonics.Optics Letters 47(6), 1506–1509 (2022)
2022
-
[35]
Park, T.et al.Single-mode squeezed-light generation and tomogra- phy with an integrated optical parametric oscillator.Science Advances 10(11), eadl1814 (2024)
2024
-
[36]
N.et al.Demonstration of a squeezed light source on thin-film lithium niobate with modal phase matching.arXiv preprint 14Wafer-Scale Squeezed-Light Chips arXiv:2406.16516(2024)
Arge, T. N.et al.Demonstration of a squeezed light source on thin-film lithium niobate with modal phase matching.arXiv preprint 14Wafer-Scale Squeezed-Light Chips arXiv:2406.16516(2024)
2024 arXiv
-
[37]
Shi, X.et al.Squeezed light generation in periodically poled thin-film lithium niobate waveguides.arXiv preprint arXiv:2508.08599(2025)
2025
-
[38]
Dutt, A.et al.On-chip optical squeezing.Physical Review Applied3(4), 044005 (2015)
2015
-
[39]
D.et al.Broadband quadrature-squeezed vacuum and non- classical photon number correlations from a nanophotonic device.Science Advances6(39), eaba9186 (2020)
Vaidya, V. D.et al.Broadband quadrature-squeezed vacuum and non- classical photon number correlations from a nanophotonic device.Science Advances6(39), eaba9186 (2020)
2020
-
[40]
Zhao, Y.et al.Near-degenerate quadrature-squeezed vacuum generation on a silicon-nitride chip.Physical Review Letters124(19), 193601 (2020)
2020
-
[41]
Zhang, Y.et al.Squeezed light from a nanophotonic molecule.Nature Communications12(1), 2233 (2021)
2021
-
[42]
Shen, Y.et al.Strong nanophotonic quantum squeezing exceeding 3.5 db in a foundry-compatible kerr microresonator.Optica12(3), 302–308 (2025)
2025
-
[43]
E., Ruhnke, B., Wildi, T
Ulanov, A. E., Ruhnke, B., Wildi, T. & Herr, T. Quadrature squeezing in a nanophotonic microresonator.arXiv preprint arXiv:2502.17337(2025)
2025 arXiv
-
[44]
Yang, Z.et al.A squeezed quantum microcomb on a chip.Nature Communications12(1), 4781 (2021)
2021
-
[45]
& Bowers, J
Xiang, C., Jin, W. & Bowers, J. E. Silicon nitride passive and active photonic integrated circuits: trends and prospects.Photonics research 10(6), A82–A96 (2022)
2022
-
[46]
Nature Communications15(1), 751 (2024)
Shekhar, S.et al.Roadmapping the next generation of silicon photonics. Nature Communications15(1), 751 (2024)
2024
-
[47]
& Grangier, P
Grosshans, F. & Grangier, P. Quantum cloning and teleportation criteria for continuous quantum variables.Physical Review A64(1), 010301 (2001)
2001
-
[48]
N., Liu, S
Wu, B.-H., Alexander, R. N., Liu, S. & Zhang, Z. Quantum comput- ing with multidimensional continuous-variable cluster states in a scalable photonic platform.Physical Review Research2(2), 023138 (2020)
2020
-
[49]
Chembo, Y. K. Quantum dynamics of kerr optical frequency combs below and above threshold: Spontaneous four-wave mixing, entanglement, and squeezed states of light.Physical Review A93(3), 033820 (2016) . Wafer-Scale Squeezed-Light Chips15
2016
-
[50]
Taballione, C.et al.8×8 reconfigurable quantum photonic processor based on silicon nitride waveguides.Optics Express27(19), 26842–26857 (2019)
2019
-
[51]
A manufacturable platform for photonic quantum comput- ing.Nature641, 876–883 (2025)
PsiQuantum. A manufacturable platform for photonic quantum comput- ing.Nature641, 876–883 (2025)
2025
-
[52]
Snigirev, V.et al.Ultrafast tunable lasers using lithium niobate integrated photonics.Nature615(7952), 411–417 (2023)
2023
-
[53]
& Zhang, Z
Liu, S., Zhang, Y., Hariri, A., Al-Hallak, A.-R. & Zhang, Z. Fabrication of ultra-low-loss, dispersion-engineered silicon nitride photonic integrated circuits via silicon hardmask etching.ACS Photonics12(2), 1039–1046 (2025) . Methods Device fabrication process.The complete wa...
2025
Reviewed August 15, 2026 · model on record in the stance chip above.
Discussion (0). Continue with ORCID to comment.