pith. sign in

arxiv: 2511.05928 · v1 · submitted 2025-11-08 · 🪐 quant-ph

Efficient integrated quantum memory for light

Pith reviewed 2026-05-17 23:36 UTC · model grok-4.3

classification 🪐 quant-ph
keywords quantum memoryintegrated photonicsrare-earth ionsmicrocavitystorage efficiencysingle photonstemporal modesstrain tuning
0
0 comments X

The pith

Rare-earth crystals in microcavities reach 80 percent efficiency for integrated quantum light storage.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper shows that coupling rare-earth-ion-doped crystals to impedance-matched microcavities in thin membranes or laser-written waveguides produces integrated quantum memories with storage efficiencies far above previous integrated devices. This combination stores weak coherent pulses at 80.3 percent efficiency and telecom-heralded single photons at 69.8 percent, while also handling 20 temporal modes at an average 51 percent efficiency. The same thin-membrane platform allows spectral tuning through applied strain. A sympathetic reader cares because scalable quantum networks and photonic processors have been held back by low-efficiency memories; these numbers move integrated hardware closer to the performance needed for repeaters and processors.

Core claim

By embedding Eu3+:Y2SiO5 crystals in impedance-matched microcavities, either as 200-micrometer thin membranes with fiber cavities or as femtosecond-laser-written waveguide cavities, the work demonstrates reliable quantum storage with 80.3(7)% efficiency for weak coherent pulses, 69.8(1.6)% for heralded single photons, and 51.3(2)% average efficiency across 20 temporal modes, plus strain-based spectral tunability in the membrane geometry.

What carries the argument

Impedance-matched microcavities coupled to rare-earth-ion-doped crystals, which enhance the light-matter interaction to raise storage efficiency while preserving multimode capacity and tunability.

If this is right

  • Quantum repeaters can operate with fewer lossy interface stages because one integrated device now stores both coherent and single-photon states at high efficiency.
  • Multimode capacity of 20 temporal modes at over 50 percent efficiency supports higher communication rates without needing parallel devices.
  • Strain tuning of the storage frequency provides a built-in way to match different network nodes without additional frequency-conversion hardware.
  • Waveguide and membrane architectures both work, so the same performance can be realized on chip or in fiber-compatible packages.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The high efficiency and tunability together suggest these devices could serve as the memory layer inside a larger photonic processor where light is routed, stored, and retrieved on the same chip.
  • Because the membrane version is thin and strain-tunable, it may be stacked or bonded to other photonic circuits to create hybrid quantum nodes without custom frequency matching.
  • The reported multimode storage opens the possibility of time-bin encoding for quantum error correction protocols that use temporal modes as logical qubits.

Load-bearing premise

The impedance matching between the microcavity and the doped crystal stays stable under fabrication variations and does not create hidden loss channels that would lower the measured efficiencies.

What would settle it

Direct measurement of storage efficiency in devices whose cavity-crystal alignment deviates by a few percent from the reported optimum, or in multiple fabricated samples under normal lab temperature and vibration conditions.

Figures

Figures reproduced from arXiv: 2511.05928 by Chao Zhang, Chuan-Feng Li, Guang-Can Guo, Hong-Zhe Zhang, Jin-Ming Cui, Ming Jin, Pei-Xi Liu, Peng-Jun Liang, Ruo-Ran Meng, Tian-Xiang Zhu, Xiao Liu, Zhong-Yang Tang, Zong-Quan Zhou.

Figure 1
Figure 1. Figure 1: FIG. 1. The devices for efficient integrated quantum memories based on rare-earth-ion doped crystals. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Efficient and multiplexed single-photon-level storage in the WGC. [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Efficient and spectrally-tunable quantum storage using [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Efficient storage of telecom-heralded single photons in the FBC. [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Performance overview of quantum memories for light. The horizontal axis represents the inverse of effective volume [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
read the original abstract

Scalable implementation of quantum networks and photonic processors require integrated photonic memories with high efficiency, yet current integrated systems have been limited to storage efficiencies below 27.8%. Here, we demonstrate highly efficient integrated quantum memories based on rare-earth-iondoped crystals coupled with impedance-matched microcavities, realized in two novel architectures: 200-micrometer-thin membranes of Eu3+:Y2SiO5 integrated with fiber-based microcavities, and waveguide-based cavities fabricated using femtosecond lasers. Our approach achieves reliable integrated quantum storage with record efficiencies of 80.3(7)% for weak coherent pulses and 69.8(1.6)% for telecom-heralded single photons, alongside the storage of 20 temporal modes with an average efficiency of 51.3(2)%. Moreover, the thin-membrane Eu3+:Y2SiO5 architecture enables spectrally tunable efficient quantum storage via variable strain, providing a flexible interface for quantum networks. By combining high efficiency, large multimode capacity, and tunability, our devices establish a versatile hardware foundation for scalable quantum repeaters and chip-scale photonic processors.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript experimentally demonstrates integrated quantum memories based on Eu3+:Y2SiO5 crystals coupled to impedance-matched microcavities in two architectures: 200-μm thin membranes integrated with fiber-based microcavities and fs-laser-written waveguide cavities. It reports record storage efficiencies of 80.3(7)% for weak coherent pulses and 69.8(1.6)% for telecom-heralded single photons, multimode storage of 20 temporal modes at 51.3(2)% average efficiency, and spectral tunability via strain tuning.

Significance. If the measured efficiencies hold under scrutiny, this work would represent a major advance for integrated quantum photonics by exceeding prior integrated memory efficiencies (limited to <27.8%) while adding multimode capacity and tunability. These features directly support scalable quantum repeaters and chip-scale processors. The experimental demonstration with concrete, uncertainty-quantified metrics for both coherent and single-photon inputs is a clear strength.

major comments (2)
  1. [§4 (Device Performance)] §4 (Device Performance) and associated figures: the headline efficiencies of 80.3(7)% and 69.8(1.6)% are presented as robust, yet the error bars do not explicitly include a systematic contribution from possible detuning of the impedance-matching condition due to fabrication variations in cavity length, membrane thickness, or refractive index; a few-linewidth shift would reduce cooperativity and retrieval efficiency, and this should be quantified across multiple devices or via Monte-Carlo propagation of measured parameter spreads.
  2. [Methods] Methods section and supplementary data: the manuscript provides efficiency numbers with statistical uncertainties but does not detail the full raw datasets, post-selection criteria, or calibration procedures used for the heralded-single-photon measurements; without these, it is not possible to rule out artifacts that could inflate the reported values relative to the true end-to-end storage efficiency.
minor comments (2)
  1. [Abstract] Abstract: 'rare-earth-iondoped' is missing a hyphen or space; should read 'rare-earth-ion-doped'.
  2. [Figure captions] Figure captions and text: ensure consistent use of 'temporal modes' versus 'time bins' and clarify whether the 20-mode result is for coherent pulses or single photons.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive evaluation of our work and for the constructive comments that help strengthen the presentation of our results. We address each major comment below and have revised the manuscript accordingly to improve the robustness of the error analysis and the transparency of the experimental procedures.

read point-by-point responses
  1. Referee: [§4 (Device Performance)] §4 (Device Performance) and associated figures: the headline efficiencies of 80.3(7)% and 69.8(1.6)% are presented as robust, yet the error bars do not explicitly include a systematic contribution from possible detuning of the impedance-matching condition due to fabrication variations in cavity length, membrane thickness, or refractive index; a few-linewidth shift would reduce cooperativity and retrieval efficiency, and this should be quantified across multiple devices or via Monte-Carlo propagation of measured parameter spreads.

    Authors: We agree that a complete uncertainty budget must incorporate possible systematic effects from fabrication variations that could detune the impedance-matching condition. The quoted uncertainties in the original manuscript reflect statistical variations across repeated measurements on individual devices. In response, we have added to the revised supplementary information a Monte-Carlo propagation that uses the measured spreads in cavity length, membrane thickness, and refractive index obtained from multiple fabricated samples. We also report results from three additional devices that yield efficiencies consistent with the primary data set. The main text has been updated to reflect the combined statistical and systematic uncertainties, now quoted as 80.3(9)% and 69.8(2.1)%. These additions confirm that the reported efficiencies remain robust under realistic fabrication tolerances. revision: yes

  2. Referee: [Methods] Methods section and supplementary data: the manuscript provides efficiency numbers with statistical uncertainties but does not detail the full raw datasets, post-selection criteria, or calibration procedures used for the heralded-single-photon measurements; without these, it is not possible to rule out artifacts that could inflate the reported values relative to the true end-to-end storage efficiency.

    Authors: We value the referee’s call for greater experimental transparency. The Methods section already describes the calibration of the heralded single-photon source, the use of time-tagging electronics, and the coincidence window used for efficiency extraction. Post-selection is limited to the detection of the telecom heralding photon within a fixed temporal gate, with background subtraction performed via standard off-resonance measurements. To address the concern fully, the revised supplementary materials now include expanded calibration protocols, representative raw time-tag histograms, and a step-by-step derivation of the end-to-end storage efficiency. These additions enable independent verification that the quoted 69.8(1.6)% value reflects the true storage efficiency without artificial inflation from post-selection or calibration artifacts. revision: yes

Circularity Check

0 steps flagged

No derivation chain; experimental measurements only

full rationale

This is an experimental demonstration paper reporting measured storage efficiencies (80.3(7)% for coherent pulses, 69.8(1.6)% for heralded photons) obtained directly from fabricated devices under tested conditions. No theoretical derivations, first-principles predictions, fitted parameters presented as independent results, or self-citation load-bearing steps appear in the abstract or described content. All performance metrics are empirical quantities, so the central claims do not reduce to their own inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claims rest on standard quantum-optics assumptions about cavity-enhanced absorption and re-emission in rare-earth ions; no new particles or forces are postulated. Fabrication details and cavity Q-factors are treated as engineering parameters rather than free variables fitted to the final result.

axioms (1)
  • domain assumption Rare-earth ions in Y2SiO5 exhibit long coherence times and can be addressed at telecom wavelengths when placed in a high-finesse cavity.
    Invoked throughout the abstract to justify the choice of Eu3+:Y2SiO5 and the expected impedance matching.

pith-pipeline@v0.9.0 · 5536 in / 1258 out tokens · 24266 ms · 2026-05-17T23:36:55.453081+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

85 extracted references · 85 canonical work pages · 1 internal anchor

  1. [27]

    & Guo, G.-C

    Ma, Y., Ma, Y.-Z., Zhou, Z.-Q., Li, C.-F. & Guo, G.-C. One-hour coherent optical storage in an atomic frequency comb memory.Nat. Commun. 12, 2381 (2021). URLhttps://doi.org/10.1038/ s41467-021-22706-y

  2. [40]

    V., Seri, A

    Lago-Rivera, D., Grandi, S., Rakonjac, J. V., Seri, A. & de Riedmatten, H. Telecom-heralded entanglement 10 between multimode solid-state quantum memories.Na- ture594, 37–40 (2021). URLhttps://doi.org/10. 1038/s41586-021-03481-8

  3. [56]

    T., Thuresson, A., Kr¨ oll, S

    Sabooni, M., Kometa, S. T., Thuresson, A., Kr¨ oll, S. & Rippe, L. Cavity-enhanced storage—preparing for high-efficiency quantum memories.New J. Phys.15, 035025 (2013). URLhttps://dx.doi.org/10.1088/ 1367-2630/15/3/035025

  4. [70]

    & L¨ utkenhaus, N

    Curty, M. & L¨ utkenhaus, N. Intercept-resend attacks 11 in the bennett-brassard 1984 quantum-key-distribution protocol with weak coherent pulses.Phys. Rev. A71, 062301 (2005). URLhttps://link.aps.org/doi/10. 1103/PhysRevA.71.062301

  5. [71]

    & Eichhorn, M

    Pollnau, M. & Eichhorn, M. Spectral coher- ence, part I: Passive-resonator linewidth, funda- mental laser linewidth, and schawlow-townes ap- proximation.Prog. Quant. Electron.72, 100255 (2020). URLhttps://www.sciencedirect.com/ science/article/pii/S0079672720300094

  6. [72]

    & Gisin, N

    Sangouard, N., Simon, C., de Riedmatten, H. & Gisin, N. Quantum repeaters based on atomic ensem- bles and linear optics.Rev. Mod. Phys.83, 33–80 (2011). URLhttps://link.aps.org/doi/10.1103/ RevModPhys.83.33

  7. [73]

    URLhttps://doi.org/10.1038/ nature11023

    Ritter, S.et al.An elementary quantum network of single atoms in optical cavities.Nature484, 195–200 (2012). URLhttps://doi.org/10.1038/ nature11023

  8. [74]

    URLhttps://doi.org/10.1038/ s41586-021-03505-3

    Liu, X.et al.Heralded entanglement distribution between two absorptive quantum memories.Nature 594, 41–45 (2021). URLhttps://doi.org/10.1038/ s41586-021-03505-3

  9. [75]

    Kok, P.et al.Linear optical quantum computing with photonic qubits.Rev. Mod. Phys.79, 135–174 (2007). URLhttps://link.aps.org/doi/10.1103/ RevModPhys.79.135

  10. [76]

    Nunn, J.et al.Enhancing multiphoton rates with quantum memories.Phys. Rev. Lett.110, 133601 (2013). URLhttps://link.aps.org/doi/10.1103/ PhysRevLett.110.133601

  11. [77]

    Commun.15, 8529 (2024)

    Liu, X.et al.Nonlocal photonic quantum gates over 7.0 km.Nat. Commun.15, 8529 (2024). URLhttps: //doi.org/10.1038/s41467-024-52912-3

  12. [78]

    17, 2300257 (2023)

    Zhou, Z.-Q.et al.Photonic integrated quantum mem- ory in rare-earth doped solids.Laser Photonics Rev. 17, 2300257 (2023). URLhttps://onlinelibrary. wiley.com/doi/abs/10.1002/lpor.202300257

  13. [79]

    & Grangier, P

    Grosshans, F. & Grangier, P. Quantum cloning and teleportation criteria for continuous quantum variables. Phys. Rev. A64, 010301 (2001). URLhttps://link. aps.org/doi/10.1103/PhysRevA.64.010301

  14. [80]

    Varnava, M., Browne, D. E. & Rudolph, T. Loss tol- erance in one-way quantum computation via counter- factual error correction.Phys. Rev. Lett.97, 120501 (2006). URLhttps://link.aps.org/doi/10.1103/ PhysRevLett.97.120501

  15. [81]

    I., Fiur´ aˇ sek, J

    Julsgaard, B., Sherson, J., Cirac, J. I., Fiur´ aˇ sek, J. & Polzik, E. S. Experimental demonstration of quantum memory for light.Nature432, 482–486 (2004). URL https://doi.org/10.1038/nature03064

  16. [82]

    Photonics13, 346–351 (2019)

    Wang, Y.et al.Efficient quantum memory for single-photon polarization qubits.Nat. Photonics13, 346–351 (2019). URLhttps://doi.org/10.1038/ s41566-019-0368-8

  17. [83]

    M., Lam, P

    Hosseini, M., Campbell, G., Sparkes, B. M., Lam, P. K. & Buchler, B. C. Unconditional room-temperature quantum memory.Nat. Phys.7, 794–798 (2011). URL https://doi.org/10.1038/nphys2021

  18. [85]

    P., Longdell, J

    Hedges, M. P., Longdell, J. J., Li, Y. & Sellars, M. J. Efficient quantum memory for light.Nature465, 1052–1056 (2010). URLhttps://doi.org/10.1038/ nature09081

  19. [86]

    G., Bustard, P

    England, D. G., Bustard, P. J., Nunn, J., Lausten, R. & Sussman, B. J. From photons to phonons and back: A thz optical memory in diamond.Phys. Rev. Lett.111, 243601 (2013). URLhttps://link.aps.org/doi/10. 1103/PhysRevLett.111.243601

  20. [87]

    P.et al.A single-atom quantum memory

    Specht, H. P.et al.A single-atom quantum memory. Nature473, 190–193 (2011). URLhttps://doi.org/ 10.1038/nature09997

  21. [88]

    Photonics12, 18–21 (2018)

    K¨ orber, M.et al.Decoherence-protected memory for a single-photon qubit.Nat. Photonics12, 18–21 (2018). URLhttps://doi.org/10.1038/s41566-017-0050-y

  22. [89]

    Vernaz-Gris, P., Huang, K., Cao, M., Sheremet, A. S. & Laurat, J. Highly-efficient quantum memory for po- larization qubits in a spatially-multiplexed cold atomic ensemble.Nat. Commun.9, 363 (2018). URLhttps: //doi.org/10.1038/s41467-017-02775-8

  23. [90]

    Guo, J.et al.High-performance raman quantum mem- ory with optimal control in room temperature atoms. Nat. Commun.10, 148 (2019). URLhttps://doi. org/10.1038/s41467-018-08118-5

  24. [91]

    Nunn, J.et al.Multimode memories in atomic ensembles.Phys. Rev. Lett.101, 260502 (2008). URL https://link.aps.org/doi/10.1103/PhysRevLett. 101.260502

  25. [92]

    URLhttps://doi.org/10.1038/ nature09719

    Saglamyurek, E.et al.Broadband waveguide quan- tum memory for entangled photons.Nature469, 512–515 (2011). URLhttps://doi.org/10.1038/ nature09719

  26. [93]

    URLhttps://www.science

    Zhong, T.et al.Nanophotonic rare-earth quantum memory with optically controlled retrieval.Science 357, 1392–1395 (2017). URLhttps://www.science. org/doi/abs/10.1126/science.aan5959

  27. [94]

    Liu, C.et al.On-demand quantum storage of photonic qubits in an on-chip waveguide.Phys. Rev. Lett.125, 260504 (2020). URLhttps://link.aps.org/doi/10. 1103/PhysRevLett.125.260504

  28. [95]

    Sinclair, N.et al.Spectral multiplexing for scalable quantum photonics using an atomic frequency comb quantum memory and feed-forward control.Phys. Rev. Lett.113, 053603 (2014). URLhttps://link.aps. org/doi/10.1103/PhysRevLett.113.053603

  29. [96]

    Seri, A.et al.Quantum storage of frequency- multiplexed heralded single photons.Phys. Rev. Lett. 123, 080502 (2019). URLhttps://link.aps.org/ doi/10.1103/PhysRevLett.123.080502

  30. [97]

    & Reiserer, A

    Merkel, B., Ulanowski, A. & Reiserer, A. Coherent and Purcell-enhanced emission from erbium dopants in a cryogenic high-Qresonator.Phys. Rev. X10, 041025 (2020). URLhttps://link.aps.org/doi/10. 1103/PhysRevX.10.041025

  31. [98]

    Dynamic Control of

    Casabone, B.et al.Dynamic control of Purcell en- hanced emission of erbium ions in nanoparticles.Nat. Commun.12, 3570 (2021). URLhttps://doi.org/ 10.1038/s41467-021-23632-9

  32. [99]

    URLhttps://doi.org/10

    Zhong, M.et al.Optically addressable nuclear spins in a solid with a six-hour coherence time.Nature 517, 177–180 (2015). URLhttps://doi.org/10. 1038/nature14025

  33. [100]

    & Guo, G.-C

    Ma, Y., Ma, Y.-Z., Zhou, Z.-Q., Li, C.-F. & Guo, G.-C. One-hour coherent optical storage in an atomic frequency comb memory.Nat. Commun. 12 12, 2381 (2021). URLhttps://doi.org/10.1038/ s41467-021-22706-y

  34. [101]

    Lau, H.-K., Qiao, H., Clerk, A. A. & Zhong, T. Effi- cient in situ generation of photon-memory entangle- ment in a nonlinear cavity.Phys. Rev. Lett.134, 053602 (2025). URLhttps://link.aps.org/doi/10. 1103/PhysRevLett.134.053602

  35. [102]

    & Lukin, M

    Fleischhauer, M., Yelin, S. & Lukin, M. How to trap photons? Storing single-photon quantum states in col- lective atomic excitations.Opt. Commun.179, 395– 410 (2000). URLhttps://www.sciencedirect.com/ science/article/pii/S0030401899006793

  36. [103]

    A., Andrianov, S

    Moiseev, S. A., Andrianov, S. N. & Gubaidullin, F. F. Efficient multimode quantum memory based on pho- ton echo in an optimal QED cavity.Phys. Rev. A82, 022311 (2010). URLhttps://link.aps.org/doi/10. 1103/PhysRevA.82.022311

  37. [104]

    & Simon, C

    Afzelius, M. & Simon, C. Impedance-matched cav- ity quantum memory.Phys. Rev. A82, 022310 (2010). URLhttps://link.aps.org/doi/10.1103/ PhysRevA.82.022310

  38. [105]

    & Rippe, L

    Sabooni, M., Li, Q., Kr¨ oll, S. & Rippe, L. Efficient quantum memory using a weakly ab- sorbing sample.Phys. Rev. Lett.110, 133604 (2013). URLhttps://link.aps.org/doi/10.1103/ PhysRevLett.110.133604

  39. [106]

    Phys.16, 083005 (2014)

    Jobez, P.et al.Cavity-enhanced storage in an optical spin-wave memory.New J. Phys.16, 083005 (2014). URLhttps://dx.doi.org/10.1088/ 1367-2630/16/8/083005

  40. [107]

    Express32, 26884–26895 (2024)

    Duranti, S.et al.Efficient cavity-assisted storage of photonic qubits in a solid-state quantum memory.Opt. Express32, 26884–26895 (2024). URLhttps://opg. optica.org/oe/abstract.cfm?URI=oe-32-15-26884

  41. [108]

    Sabooni, M., Li, Q., Rippe, L., Mohan, R. K. & Kr¨ oll, S. Spectral engineering of slow light, cavity line nar- rowing, and pulse compression.Phys. Rev. Lett.111, 183602 (2013). URLhttps://link.aps.org/doi/10. 1103/PhysRevLett.111.183602

  42. [109]

    & Halfmann, T

    Schraft, D., Hain, M., Lorenz, N. & Halfmann, T. Stopped light at high storage efficiency in a Pr3+ : Y 2SiO5 crystal.Phys. Rev. Lett.116, 073602 (2016). URLhttps://link.aps.org/doi/10.1103/ PhysRevLett.116.073602

  43. [110]

    P.et al.Noise-free on-demand atomic fre- quency comb quantum memory.Phys

    Horvath, S. P.et al.Noise-free on-demand atomic fre- quency comb quantum memory.Phys. Rev. Res.3, 023099 (2021). URLhttps://link.aps.org/doi/10. 1103/PhysRevResearch.3.023099

  44. [111]

    Galland, N.et al.Mechanical tunability of an ultra- narrow spectral feature of a rare-earth-doped crystal via uniaxial stress.Phys. Rev. Applied13, 044022 (2020). URLhttps://link.aps.org/doi/10.1103/ PhysRevApplied.13.044022

  45. [112]

    J., Rippe, L., Fortier, T

    Thorpe, M. J., Rippe, L., Fortier, T. M., Kirchner, M. S. & Rosenband, T. Frequency stabilization to 6×10 −16 via spectral-hole burning.Nat. Photonics 5, 688–693 (2011). URLhttps://doi.org/10.1038/ nphoton.2011.215

  46. [113]

    V., Seri, A

    Lago-Rivera, D., Grandi, S., Rakonjac, J. V., Seri, A. & de Riedmatten, H. Telecom-heralded entanglement between multimode solid-state quantum memories.Na- ture594, 37–40 (2021). URLhttps://doi.org/10. 1038/s41586-021-03481-8

  47. [114]

    Businger, M.et al.Non-classical correlations over 1250 modes between telecom photons and 979-nm pho- tons stored in 171Yb3+: Y2Sio5.Nat. Commun. 13, 6438 (2022). URLhttps://doi.org/10.1038/ s41467-022-33929-y

  48. [115]

    Zhu, T.-X.et al.A metropolitan-scale multiplexed quantum repeater with bell nonlocality.arXiv preprint arXiv:2508.17940(2025)

  49. [116]

    Cao, M., Hoffet, F., Qiu, S., Sheremet, A. S. & Lau- rat, J. Efficient reversible entanglement transfer be- tween light and quantum memories.Optica7, 1440– 1444 (2020). URLhttps://opg.optica.org/optica/ abstract.cfm?URI=optica-7-10-1440

  50. [117]

    URLhttps://opg.optica

    Cho, Y.-W.et al.Highly efficient optical quantum memory with long coherence time in cold atoms.Op- tica3, 100–107 (2016). URLhttps://opg.optica. org/optica/abstract.cfm?URI=optica-3-1-100

  51. [118]

    Ma, L.et al.High-performance cavity-enhanced quan- tum memory with warm atomic cell.Nat. Commun. 13, 2368 (2022). URLhttps://doi.org/10.1038/ s41467-022-30077-1

  52. [119]

    Craiciu, I.et al.Nanophotonic quantum storage at telecommunication wavelength.Phys. Rev. Appl.12, 024062 (2019). URLhttps://link.aps.org/doi/10. 1103/PhysRevApplied.12.024062

  53. [120]

    V.et al.Storage and analysis of light- matter entanglement in a fiber-integrated system.Sci

    Rakonjac, J. V.et al.Storage and analysis of light- matter entanglement in a fiber-integrated system.Sci. Adv.8, eabn3919 (2022). URLhttps://www.science. org/doi/abs/10.1126/sciadv.abn3919

  54. [121]

    G.et al.Storage and retrieval of thz- bandwidth single photons using a room-temperature diamond quantum memory.Phys

    England, D. G.et al.Storage and retrieval of thz- bandwidth single photons using a room-temperature diamond quantum memory.Phys. Rev. Lett.114, 053602 (2015). URLhttps://link.aps.org/doi/10. 1103/PhysRevLett.114.053602

  55. [122]

    Commun.7, 10375 (2016)

    Trotta, R.et al.Wavelength-tunable sources of en- tangled photons interfaced with atomic vapours.Nat. Commun.7, 10375 (2016). URLhttps://doi.org/ 10.1038/ncomms10375

  56. [123]

    Lett.40, 070301 (2023)

    Huang, J.-Y.et al.Stark tuning of telecom single- photon emitters based on a single Er3+.Chinese Phys. Lett.40, 070301 (2023). URLhttps://dx.doi.org/ 10.1088/0256-307X/40/7/070301

  57. [124]

    Ma, Y.-Z.et al.Elimination of noise in op- tically rephased photon echoes.Nat. Commun. 12, 4378 (2021). URLhttps://doi.org/10.1038/ s41467-021-24679-4

  58. [125]

    & Afzelius, M

    Ortu, A., Holz¨ apfel, A., Etesse, J. & Afzelius, M. Storage of photonic time-bin qubits for up to 20 ms in a rare-earth doped crystal.npj Quantum In- form.8, 29 (2022). URLhttps://doi.org/10.1038/ s41534-022-00541-3

  59. [126]

    Adv.11, eadu5264 (2025)

    Liu, Y.-P.et al.A millisecond integrated quantum memory for photonic qubits.Sci. Adv.11, eadu5264 (2025). URLhttps://www.science.org/doi/abs/10. 1126/sciadv.adu5264

  60. [127]

    Liu, D.-C.et al.On-demand storage of photonic qubits at telecom wavelengths.Phys. Rev. Lett.129, 210501 (2022). URLhttps://link.aps.org/doi/10.1103/ PhysRevLett.129.210501

  61. [128]

    Phys.12, 065038 (2010)

    Hunger, D.et al.A fiber Fabry–Perot cavity with high finesse.New J. Phys.12, 065038 (2010). URLhttps: //dx.doi.org/10.1088/1367-2630/12/6/065038

  62. [129]

    T., Thuresson, A., Kr¨ oll, S

    Sabooni, M., Kometa, S. T., Thuresson, A., Kr¨ oll, S. & Rippe, L. Cavity-enhanced storage—preparing for high-efficiency quantum memories.New J. Phys.15, 13 035025 (2013). URLhttps://dx.doi.org/10.1088/ 1367-2630/15/3/035025

  63. [130]

    Zhu, T.-X.et al.On-demand integrated quantum memory for polarization qubits.Phys. Rev. Lett.128, 180501 (2022). URLhttps://link.aps.org/doi/10. 1103/PhysRevLett.128.180501

  64. [131]

    Lauritzen, B.et al.Spectroscopic investigations of Eu3+:Y2SiO5 for quantum memory applications.Phys. Rev. B85, 115111 (2012). URLhttps://link.aps. org/doi/10.1103/PhysRevB.85.115111

  65. [132]

    Jobez, P.et al.Towards highly multimode optical quantum memory for quantum repeaters.Phys. Rev. A 93, 032327 (2016). URLhttps://link.aps.org/doi/ 10.1103/PhysRevA.93.032327

  66. [133]

    Su, M.-X.et al.On-demand multimode optical storage in a laser-written on-chip waveguide.Phys. Rev. A105, 052432 (2022). URLhttps://link.aps.org/doi/10. 1103/PhysRevA.105.052432

  67. [134]

    B., Ruf, M

    van Dam, S. B., Ruf, M. & Hanson, R. Optimal design of diamond-air microcavities for quantum net- works using an analytical approach.New J. Phys.20, 115004 (2018). URLhttps://dx.doi.org/10.1088/ 1367-2630/aaec29

  68. [135]

    AIP Advances , volume =

    Hunger, D., Deutsch, C., Barbour, R. J., Warburton, R. J. & Reichel, J. Laser micro-fabrication of concave, low-roughness features in silica.AIP Adv.2, 012119 (2012). URLhttps://doi.org/10.1063/1.3679721

  69. [136]

    & Reiserer, A

    Ulanowski, A., Merkel, B. & Reiserer, A. Spec- tral multiplexing of telecom emitters with sta- ble transition frequency.Sci. Adv.8, eabo4538 (2022). URLhttps://www.science.org/doi/abs/10. 1126/sciadv.abo4538

  70. [137]

    URLhttps://opg.optica.org/optica/ abstract.cfm?URI=optica-10-10-1339

    Deshmukh, C.et al.Detection of single ions in a nanoparticle coupled to a fiber cavity.Optica10, 1339– 1344 (2023). URLhttps://opg.optica.org/optica/ abstract.cfm?URI=optica-10-10-1339

  71. [138]

    & Rempe, G

    Niemietz, D., Farrera, P., Langenfeld, S. & Rempe, G. Nondestructive detection of photonic qubits.Na- ture591, 570–574 (2021). URLhttps://doi.org/10. 1038/s41586-021-03290-z

  72. [139]

    Colloquium: Cavity-enhanced quan- tum network nodes.Rev

    Reiserer, A. Colloquium: Cavity-enhanced quan- tum network nodes.Rev. Mod. Phys.94, 041003 (2022). URLhttps://link.aps.org/doi/10.1103/ RevModPhys.94.041003

  73. [140]

    U., Simon, C

    de Riedmatten, H., Afzelius, M., Staudt, M. U., Simon, C. & Gisin, N. A solid-state light–matter interface at the single-photon level.Nature456, 773–777 (2008). URLhttps://doi.org/10.1038/nature07607

  74. [141]

    F., Li, C.-F

    Zhou, Z.-Q., Huelga, S. F., Li, C.-F. & Guo, G.-C. Experimental detection of quantum coher- ent evolution through the violation of leggett-garg- type inequalities.Phys. Rev. Lett.115, 113002 (2015). URLhttps://link.aps.org/doi/10.1103/ PhysRevLett.115.113002

  75. [142]

    M., Kutluer, K., Mazzera, M

    G¨ undo˘ gan, M., Ledingham, P. M., Kutluer, K., Mazzera, M. & de Riedmatten, H. Solid state spin- wave quantum memory for time-bin qubits.Phys. Rev. Lett.114, 230501 (2015). URLhttps://link.aps. org/doi/10.1103/PhysRevLett.114.230501

  76. [143]

    & L¨ utkenhaus, N

    Curty, M. & L¨ utkenhaus, N. Intercept-resend attacks in the bennett-brassard 1984 quantum-key-distribution protocol with weak coherent pulses.Phys. Rev. A71, 062301 (2005). URLhttps://link.aps.org/doi/10. 1103/PhysRevA.71.062301

  77. [144]

    & Eichhorn, M

    Pollnau, M. & Eichhorn, M. Spectral coher- ence, part I: Passive-resonator linewidth, funda- mental laser linewidth, and schawlow-townes ap- proximation.Prog. Quant. Electron.72, 100255 (2020). URLhttps://www.sciencedirect.com/ science/article/pii/S0079672720300094. 14 Supplementary Information for ”Efficient integrated quantum memory for light”

  78. [145]

    High-purity SiO 2 (99.9999%) and Y 2O3 (99.999%) are used as the starting materials for the host crystals

    Growth ofEu 3+:Y2SiO5 crystals The Eu 3+:Y2SiO5 crystals are grown using the Czochralski method in an argon atmosphere, with a pulling rate of 1 mm/h and a rotation rate of 25 rpm along the b-axis. High-purity SiO 2 (99.9999%) and Y 2O3 (99.999%) are used as the starting materials for the host crystals. For doping, two types of europium oxide are employed...

  79. [146]

    anti-hole burning

    The preparation of AFC with enhanced absorption According to Eq. 1 in the main text, enhancing the medium’s absorption is crucial for improving the storage efficiency. However, creating AFCs with high absorption typically introduces strong slow-light dispersion, which in turn leads to an undesirably narrow storage bandwidth constrained by the slow-light c...

  80. [147]

    Previously, we identified a set of parameters for the FLM process that successfully reduced these losses [135]

    The characterization and fabrication of ultra-low-loss optical waveguides To achieve efficient quantum storage in the WGC, minimizing the propagation loss of the optical waveguide is essential. Previously, we identified a set of parameters for the FLM process that successfully reduced these losses [135]. However, further optimization poses significant cha...

Showing first 80 references.