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REVIEW 2 major objections 5 minor 51 references

Quantum Photonic Node for On-Chip State Transfer

T0 review · 2 major / 5 minor · reviewed 2026-08-14 · deepseek-v4-flash

Pith's one-line read Cascaded microrings transfer quantum states on chip with 99.3% success

desk verdict A clever passive pulse-shaping node with a near-unity symmetry factor, but the 'deterministic state transfer' claim is undermined by defining success as a transient population peak that re-emits immediately after. read the letter →

arxiv 1908.03683 v1 pith:U2GSJEHF submitted 2019-08-10 quant-ph

classification quant-ph PACS 42.50.Ct42.50.Ex42.79.Gn
keywords quantumstatetransferon-chipnetworkmicroringresonatorsingleemittertime-reversalsymmetrywaveguideelectrodynamicssingle-photonpulseshapingintegratedphotonics
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper proposes a quantum photonic node—a single two-level emitter coupled to a cascade of microring resonators—that can send and receive a single-photon wave packet through a waveguide without any dynamic control. It claims that by choosing the coupling strengths among the emitter, rings, and waveguide appropriately, all node emission is funneled into the waveguide and its temporal profile is made time-reversal symmetric. For a three-ring node with normalized couplings $(J_{12}, J_{23}, \kappa)/g = (1.88, 2.94, 7.92)$, the pulse symmetry factor reaches $\beta = 0.993$, and two identical nodes achieve an overall state-transfer success rate $F = 0.993$. If correct, this removes the main obstacle to on-chip quantum networks: previously, high-fidelity transfer required spatial mode matching and time-reversal symmetry, which in practice demanded dynamically modulated cavities or laser-controlled atomic protocols.

What carries the argument

The carrying object is the cascaded-node Hamiltonian $H = \mathrm{tridiag}[u, v, u]$ acting on probability amplitudes of the emitter and ring modes, with $u = (\sqrt{2}g, J_{12}, J_{23}, \ldots, J_{N-1,N})$, $v = (0, \delta_1, \ldots, \delta_{N-1}, \delta_N - i\kappa/2)$, and the last ring's leakage $\kappa$ providing the sole decay channel. The emitted amplitude in the waveguide is $e(t) = -i\sqrt{\kappa}\, c_N(t)$, a sum $\sum_n \alpha_n e^{-i\Omega_n t}$ over the node's $N+1$ complex eigenstates. The mechanism that carries the argument is interference among these eigenstate channels: optimizing the coupling ratios adjusts the amplitudes $\alpha_n$ and complex frequencies $\Omega_n$ so that imaginary parts cancel and the real parts add to a near-perfectly time-symmetric pulse, quantified by a symmetry factor $\beta$ that equals unity for a perfectly symmetric pulse. For $N=3$, the optimal ratios give eigenvalues $(\pm 2.84 - 0.88i)g$ and $(\pm 1.02 - 0.95i)g$, producing $\beta = 0.993$.

What would settle it

Compute or measure the receiving node's emitter population at times long after the incoming pulse has passed: if it decays back toward zero because the node re-emits into the waveguide, the reported $F=0.993$ is a transient peak, not a completed state transfer. A direct experiment would couple a single emitter to three cascaded rings, record the emitted pulse, and test whether the identical second node retains the excitation after the pulse.

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Extended reading notes

Core claim

The central claim is that a fully passive, all-waveguide node can perform deterministic quantum state transfer between distant identical nodes. The node consists of one two-level system (the emitter) coupled to the first of $N$ cascaded microring resonators, with the last ring coupled to a waveguide continuum; the node has $N+1$ eigenstates, and the emitted pulse is the superposition of their decay channels. By tuning only the static coupling rates $g$, $J_{n,n+1}$, and $\kappa$, the authors synthesize a single-photon wave packet whose time profile is symmetric under $t \to -t$, and they show numerically that for $N=3$ the symmetry factor is $\beta=0.993$ at $(J_{12}, J_{23}, \kappa)/g=(1.88, 2.94, 7.92)$. Because the receiving node is identical and the pulse is time-reversal symmetric, the same node absorbs the packet with maximum emitter population $F=0.993$, which they take as the overall success rate of the transfer. The transfer requires no dynamic modulation and is formulated in a waveguide/cavity QED model where the continuum is eliminated by the Weisskopf-Wigner approximation.

Load-bearing premise

The transfer is judged complete at the moment the receiving emitter's excitation probability peaks, and the receiving node stays coupled to the waveguide with no switch or memory to stop the excitation from re-emitting after that peak.

Editorial extensions

If this is right

  • Two identical $N=3$ nodes with $(J_{12},J_{23},\kappa)/g=(1.88,2.94,7.92)$ transfer a single excitation with overall success rate $F=0.993$ and no dynamic control.
  • The emitted wave packet is time-symmetric, so the same node design works as both sender and receiver without spatial mode matching.
  • For the optimized parameters, about 99% of the emitter's emission is channeled into the waveguide, so the node is near lossless at the emission stage.
  • The implementation can use CMOS-compatible silicon-nitride ring resonators with single molecules as emitters, with coupling rates set by ring gaps.
  • The authors argue the format applies to other dipolar systems, including superconducting qubits and optomechanical nodes, and to hybrid systems.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Editorial inference: Because success is scored at the transient population peak, a practical quantum memory or a dynamic switching element would be needed after the peak to turn this into a stored state transfer; the paper does not propose such a mechanism.
  • Editorial inference: The same interference-pulse-synthesis logic should generalize to more than three rings; the authors note that additional eigenstates add degrees of freedom, so larger $N$ may push $\beta$ even closer to unity at the cost of more stringent coupling control.
  • Editorial inference: Since the protocol is passive, it could also transfer classical or coherent-state wave packets, not just single-photon states, which might make it useful for on-chip classical optical interconnects.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

2 major / 5 minor

Summary. The paper proposes a passive integrated quantum photonic node consisting of a two-level emitter coupled to cascaded microring resonators (MRRs) that are coupled to a waveguide. By optimizing the inter-resonator and resonator-waveguide coupling rates, the authors show that a single-photon wave packet emitted from the node can be made highly time-symmetric (symmetry factor β=0.993 for N=3 and (J12,J23,κ)/g=(1.88,2.94,7.92)). They then simulate the receiving process by driving an identical node with the emitted pulse and define the overall state-transfer success rate F as the maximum transient population of the receiving TLS. They obtain F=0.993 and conclude that deterministic on-chip quantum state transfer between distant nodes can be achieved without any dynamic control. The paper also outlines a CMOS-compatible implementation using SiN slot waveguides and single organic molecules.

Significance. If the central claim held, the passive pulse-shaping mechanism would be a valuable contribution to integrated quantum photonics, because transforming an exponentially decaying emitter emission into a time-symmetric wave packet without dynamic modulation is a nontrivial design problem. The Markovian cavity-QED model in Eq. (3) is standard, the optimization is clearly specified, and the time-symmetry factor is computed directly rather than fitted to the claimed success rate. However, the significance is substantially reduced by the fact that the calculated quantity F is only a transient peak TLS population, not a completed state transfer. The paper does not demonstrate storage of the excitation in the receiving node; on the contrary, every eigenstate of the non-Hermitian Hamiltonian decays. Thus the claimed 'deterministic quantum state transfer without dynamic control' is not established by the presented calculations. The work could be repositioned as a study of time-symmetric single-photon wave-packet synthesis and transient absorption, but in its current form the central application claim overreaches.

major comments (2)
  1. [Definition of F (paragraph after Fig. 3; Eq. (3))] The success rate F is defined as the maximum transient population of the receiving TLS, and the paper states that the receiving process ends when this maximum is reached. This is not a completed state transfer. After the drive term d in Eq. (3) vanishes, the receiving node evolves under the same non-Hermitian H with all eigenvalues having negative imaginary parts (for the optimized parameters, Im Ω = −0.88g and −0.95g). The excitation will therefore re-emit into the waveguide on a time scale ~1/g. No switch, storage level, or other mechanism is provided to retain the excitation. Consequently F=0.993 is a peak absorption probability, not the probability that the quantum state has been delivered to a stationary register. Since the abstract and title claim deterministic on-chip state transfer without dynamic control, this definitional choice is load-bearing and invalidates the central claim.
  2. [Full two-node dynamics (Fig. 3)] The receiving process is simulated by using the emitted pulse e(t) as a prescribed drive f(t) for an isolated receiving node. This ignores the back-action of the receiving node, which remains statically coupled to the waveguide and can re-emit into the same continuum that connects it to the sending node. A deterministic state-transfer protocol should solve the coupled two-node-plus-waveguide dynamics and verify that after the protocol the excitation resides in the receiving TLS or in a protected subspace and does not return to the sender or escape. Because the Hamiltonian has no lossless eigenstates, such a verification would fail. The authors should either provide a two-node simulation together with a storage mechanism, or withdraw the deterministic-transfer claim.
minor comments (5)
  1. [Abstract] The abstract states that 'all the emission from the node can be funneled into the waveguide,' but the optimized quantity β=0.993 is a time-symmetry factor, and the experimental section later says 'efficiencies up to about 99%.' Please rephrase to avoid claiming unity funneling.
  2. [Definition of β (after Eq. (4))] The symmetry factor β is written as max_t0(∫ |e(t)e(2t0−t)| dt)^2, which is not obviously normalized; please define a normalized overlap, e.g. divided by ∫|e(t)|^2 dt, so that β is dimensionless and directly comparable to unity.
  3. [Fig. 3 and discussion] The statement that F=0.993 is '(equal to the symmetry factor)' is presented without derivation. Please explain why the maximum TLS population should equal β, or state explicitly that this equality is a numerical coincidence for the chosen parameters.
  4. [Experimental section] The phrase 'non-deal conditions' in the Supplemental Material description should read 'non-ideal conditions.'
  5. [Fig. 2 caption and text] The phrase 'a pretty large parameter space' is informal; suggest 'a large fraction of parameter space' for a journal-level presentation.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: F is computed from the receiving dynamics, with the F=β equality following from external time-reversal symmetry, and self-citations are limited to supporting Supplemental Material.

full rationale

The derivation is self-contained. The authors set up a waveguide/cavity QED model in Eqs. (1)-(3), solve the emission amplitude e(t) analytically as a superposition of eigenstates in Eq. (4), and define the time-symmetry figure of merit β as an overlap integral. The coupling ratios (J12,J23,κ)/g are optimized against β, giving β=0.993. The receiving process is treated independently: Eq. (3) is integrated with the drive term d=[0,...,-i√κ f(t)]^T and f(t)=e(t), and the success rate F is defined as the maximum transient TLS population |c0|^2 in the receiver. Although the paper notes F=0.993 'equal to the symmetry factor', this equality follows from the time-reversal symmetry of the identical sending and receiving nodes, which is cited to external prior work [18,19] rather than imposed by definition or by fitting F to β. The numerical value of F is therefore a derived prediction of the model, not a renamed optimization target. The only self-citations are to the paper's own Supplemental Material [38] for technical derivations (input-output relation, N=1,2,4 results, coupling-rate estimates); these are supporting details rather than the load-bearing argument and do not constitute circularity. No instance was found in which an input is defined in terms of the output or in which a fitted parameter is presented as an independent prediction.

Assumptions & free parameters 2 free parameters · 6 assumptions · 0 invented entities

The paper's central claim rests on standard Markovian cavity-QED and a parameter optimization; no new entities are introduced. The main free parameter is the coupling ratio set.

free parameters (2)
  • Coupling ratios (J12, J23, κ)/g = (1.88, 2.94, 7.92)
    Optimized to maximize the time-symmetry factor β for N=3; the central result depends on this set.
  • Number of cascaded MRRs N = 3
    Chosen as a practical configuration; N=1,2,4 results are in the supplemental material.
assumptions (6)
  • standard math Weisskopf-Wigner approximation eliminates the waveguide continuum, yielding Markovian non-Hermitian dynamics (Eq. 3).
    Standard in waveguide QED; cited to Scully and Zubairy.
  • domain assumption TLS couples only to the first MRR; MRR-MRR and MRR-waveguide couplings are as specified in H.
    The physical layout of a node; stated in the model description.
  • domain assumption Clockwise and counterclockwise modes are symmetric, so c_n = sqrt(2) c_n,a = sqrt(2) c_n,b.
    Exploits the symmetry of the ring resonators; assumes no cross-coupling.
  • domain assumption Spontaneous emission Γ0 and MRR radiation loss Γc are negligible compared to coupling rates.
    Needed to funnel emission predominantly into the waveguide; stated as realistic.
  • ad hoc to paper Receiving process ends at the maximum TLS population; the success rate F is defined as this maximum.
    A definition specific to this paper; the transient nature of the maximum is not discussed further.
  • standard math Time-reversal symmetry condition (Refs. [18,19]) holds for the reciprocal waveguide-coupled system.
    Basis for asserting F equals β; relies on lossless, reciprocal coupling.

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Cite this review

Pith. "Pith review of Quantum Photonic Node for On-Chip State Transfer." pith.science (2026). https://pith.science/paper/U2GSJEHF

@misc{pith2026190803683,
  author       = {Pith},
  title        = {Pith review of: Quantum Photonic Node for On-Chip State Transfer},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/U2GSJEHF}},
  note         = {Machine review of arXiv:1908.03683}
}
read the original abstract

Integrated quantum photonics hold the promise to scale up the system size and form an on-chip quantum network with distributed information processing and simulation units. An outstanding need of such quantum network is to have high fidelity and efficiency on-chip state transfer between distant nodes. Although the nodes are naturally connected via waveguides, it is challenging to fulfill this need because stringent conditions such as spatial mode-matching configuration and time-reversal symmetry have to be satisfied. Here we report a type of quantum photonic nodes consisting of single quantum emitters and cascaded microring resonators for on-chip state transfer. By interfacing the node with a waveguide, we show that all the emission from the node can be funneled into the waveguide and its temporal profile can be synthesized to be time-reversal symmetric. We demonstrate theoretically on-chip quantum state transfer between two distant nodes with near-unity overall success rate can be achieved without any dynamic control. Moreover, we discuss the experimental implementation of our scheme with CMOS compatible integrated photonic platforms and solid-state quantum optics techniques.

Figures

Figures reproduced from arXiv: 1908.03683 by the authors.

Figure 1
Figure 1. FIG. 1. A quantum photonic node for on-chip state transfer. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. (a) displays β in color-coded contours as a function of three normalized coupling rates (J12, J23, κ)/g. One observes that β beyond 0.9 can be achieved in a pretty large parameter space. Part of the space is zoomed in and visualized with the contours of FIG. 2. (a) Time symmetric factor β of the single-photon pulse emitted from the quantum node as a function of (J12, J23, κ)/g. (b) Pulse synthesis: the optimal pulse… view at source ↗
Figure 3
Figure 3. FIG. 3. Complete quantum state transfer process from one [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

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Works this paper leans on

51 extracted references · 42 canonical work pages

  1. [1]

    Benson, Nature 480, 193 (2011)

    O. Benson, Nature 480, 193 (2011)

  2. [2]

    A. D. Greentree, C. Tahan, J. H. Cole, and L. C. L. Hollenberg, Nat. Phys. 2, 856 (2006)

  3. [3]

    Lodahl, S

    P. Lodahl, S. Mahmoodian, and S. Stobbe, Rev. Mod. Phys. 87, 347 (2015)

  4. [4]

    J. W. Silverstone, D. Bonneau, J. L. OBrien, and M. G. Thompson, IEEE J. Sel. Top. Quantum Electron.22, 390 (2016)

  5. [5]

    Shen and S

    J.-T. Shen and S. Fan, Phys. Rev. Lett. 95, 213001 (2005)

  6. [6]

    Shen and S

    J.-T. Shen and S. Fan, Phys. Rev. A 79, 023837 (2009)

  7. [7]

    T. S. Tsoi and C. K. Law, Phys. Rev. A 80, 033823 (2009)

  8. [8]

    Zhang and Z.-Y

    K. Zhang and Z.-Y. Li, Phys. Rev. A 81, 033843 (2010)

Show all 51 references
  1. [9]

    Y. Chen, M. Wubs, J. Mrk, and A. F. Koenderink, New J. Phys. 13, 103010 (2011)

  2. [10]

    Zheng, D

    H. Zheng, D. J. Gauthier, and H. U. Baranger, Phys. Rev. Lett. 111, 090502 (2013)

  3. [11]

    Z. Liao, H. Nha, and M. S. Zubairy, Phys. Rev. A 94, 053842 (2016)

  4. [12]

    L.-T. Feng, M. Zhang, Z.-Y. Zhou, M. Li, X. Xiong, L. Yu, B.-S. Shi, G.-P. Guo, D.-X. Dai, X.-F. Ren, and G.-C. Guo, Nat. Commun. 7, 11985 (2016)

  5. [13]

    Gonzlez-Tudela, V

    A. Gonzlez-Tudela, V. Paulisch, H. . Kimble, and J. . Cirac, Phys. Rev. Lett. 118, 213601 (2017)

  6. [14]

    H. J. Kimble, Nature 453, 1023 (2008)

  7. [15]

    Reiserer and G

    A. Reiserer and G. Rempe, Rev. Mod. Phys. 87, 1379 (2015)

  8. [16]

    Pinotsi and A

    D. Pinotsi and A. Imamoglu, Phys. Rev. Lett. 100, 093603 (2008)

  9. [17]

    Zumofen, N

    G. Zumofen, N. M. Mojarad, V. Sandoghdar, and M. Agio, Phys. Rev. Lett. 101, 180404 (2008)

  10. [18]

    Stobiska, G

    M. Stobiska, G. Alber, and G. Leuchs, Europhys. Lett. 86, 14007 (2009)

  11. [19]

    Rephaeli, J.-T

    E. Rephaeli, J.-T. Shen, and S. Fan, Phys. Rev. A 82, 033804 (2010)

  12. [20]

    M. F. Yanik and S. Fan, Phys. Rev. Lett. 93, 173903 (2004)

  13. [21]

    L. Yuan, M. Xiao, and S. Fan, Phys. Rev. B 94, 140303 (2016)

  14. [22]

    Bader, S

    M. Bader, S. Heugel, A. L. Chekhov, M. Sondermann, and G. Leuchs, New J. Phys. 15, 123008 (2013)

  15. [23]

    C. Liu, Y. Sun, L. Zhao, S. Zhang, M. . . Loy, and S. Du, Phys. Rev. Lett. 113, 133601 (2014)

  16. [24]

    Srivathsan, G

    B. Srivathsan, G. K. Gulati, A. Cer, B. Chng, and C. Kurtsiefer, Phys. Rev. Lett. 113, 163601 (2014)

  17. [25]

    Farrera, G

    P. Farrera, G. Heinze, B. Albrecht, M. Ho, M. Chvez, C. Teo, N. Sangouard, and H. de Riedmatten, Nat. Com- mun. 7, 13556 (2016)

  18. [26]

    J. I. Cirac, P. Zoller, H. J. Kimble, and H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997)

  19. [27]

    Pellizzari, Phys

    T. Pellizzari, Phys. Rev. Lett. 79, 5242 (1997)

  20. [28]

    Trautmann, G

    N. Trautmann, G. Alber, G. . Agarwal, and G. Leuchs, Phys. Rev. Lett. 114, 173601 (2015)

  21. [29]

    Baksic, H

    A. Baksic, H. Ribeiro, and A. A. Clerk, Phys. Rev. Lett. 116, 230503 (2016)

  22. [30]

    Johne and A

    R. Johne and A. Fiore, Phys. Rev. A 84, 053850 (2011)

  23. [31]

    Vogell, B

    B. Vogell, B. Vermersch, T. E. Northup, B. P. Lanyon, and C. A. Muschik, Quantum Sci. Technol. 2, 045003 5 (2017)

  24. [32]

    Ritter, C

    S. Ritter, C. Nlleke, C. Hahn, A. Reiserer, A. Neuzner, M. Uphoff, M. Mcke, E. Figueroa, J. Bochmann, and G. Rempe, Nature 484, 195 (2012)

  25. [33]

    D. E. Chang, A. S. Srensen, P. R. Hemmer, and M. D. Lukin, Phys. Rev. Lett. 97, 053002 (2006)

  26. [34]

    X.-W. Chen, V. Sandoghdar, and M. Agio, Nano Lett. 9, 3756 (2009)

  27. [35]

    in a cascaded fashion and the channel directly inter- facing the waveguide continuum is a result of interference of all involving eigenstates. As explained shortly below, the cascaded coupling scheme provides good control over the amplitude, phase and complex eigenfrequency of...

  28. [36]

    Cohen-Tannoudji, J

    C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-photon interactions: basic processes and applica- tions (Wiley-VCH, 1998) p. 678

  29. [37]

    D. J. Moss, R. Morandotti, A. L. Gaeta, and M. Lipson, Nat. Photonics 7, 597 (2013)

  30. [38]

    Subbaraman, X

    H. Subbaraman, X. Xu, A. Hosseini, X. Zhang, Y. Zhang, D. Kwong, and R. T. Chen, Opt. Express 23, 2487 (2015)

  31. [39]

    See Supplemental Material

  32. [40]

    M. O. Scully and M. S. Zubairy, Quantum Optics (Cam- bridge University Press, Cambridge, 1997)

  33. [41]

    Kozankiewicz and M

    B. Kozankiewicz and M. Orrit, Chem. Soc. Rev. 43, 1029 (2014)

  34. [42]

    Turschmann, N

    P. Turschmann, N. Rotenberg, J. Renger, I. Harder, O. Lohse, T. Utikal, S. Gotzinger, and V. Sandoghdar, Nano Lett. 17, 4941 (2017)

  35. [43]

    Rotenberg, P

    N. Rotenberg, P. Turschmann, H. R. Haakh, D. Martin- Cano, S. Gotzinger, and V. Sandoghdar, Opt. Express 25, 5397 (2017)

  36. [44]

    X. Ji, F. A. S. Barbosa, S. P. Roberts, A. Dutt, J. Carde- nas, Y. Okawachi, A. Bryant, A. L. Gaeta, and M. Lip- son, Optica 4, 619 (2017)

  37. [45]

    Srinivasan and O

    K. Srinivasan and O. Painter, Phys. Rev. A 75, 023814 (2007)

  38. [46]

    Bahadori, M

    M. Bahadori, M. Nikdast, S. Rumley, L. Y. Dai, N. Janosik, T. V. Vaerenbergh, A. Gazman, Q. Cheng, R. Polster, and K. Bergman, J. Lightwave Technol. 36, 2767 (2018)

  39. [47]

    Kurpiers, P

    P. Kurpiers, P. Magnard, T. Walter, B. Royer, M. Pechal, J. Heinsoo, Y. Salath, A. Akin, S. Storz, J. C. Besse, S. Gasparinetti, A. Blais, and A. Wallraff, Nature 558, 264 (2018)

  40. [48]

    C. J. Axline, L. D. Burkhart, W. Pfaff, M. Zhang, K. Chou, P. Campagne-Ibarcq, P. Reinhold, L. Frun- zio, S. M. Girvin, L. Jiang, M. H. Devoret, and R. J. Schoelkopf, Nat. Phys. 14, 705 (2018)

  41. [49]

    M. J. Weaver, F. Buters, F. Luna, H. Eerkens, K. Heeck, S. de Man, and D. Bouwmeester, Nat. Commun. 8, 824 (2017)

  42. [50]

    X. Zhu, S. Saito, A. Kemp, K. Kakuyanagi, S.-i. Kari- moto, H. Nakano, W. J. Munro, Y. Tokura, M. S. Everitt, K. Nemoto, M. Kasu, N. Mizuochi, and K. Semba, Na- ture 478, 221 (2011)

  43. [51]

    Y. Chu, P. Kharel, W. H. Renninger, L. D. Burkhart, L. Frunzio, P. T. Rakich, and R. J. Schoelkopf, Science 358, 199 (2017). 6

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