Quantum-network nodes with real-time noise mitigation using spectator qubits
Pith reviewed 2026-05-22 15:36 UTC · model grok-4.3
The pith
Spectator qubits combined with real-time feedforward reduce dephasing of stored states in quantum network nodes.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
We introduce a method that uses `spectator' qubits combined with real-time decision making and feedforward to mitigate dephasing of stored quantum states during remote entanglement sequences. We implement the protocol using a single NV center in diamond and demonstrate improved memory fidelity. Our results show that spectator qubits can improve quantum network memory using minimal overhead and naturally present resources.
What carries the argument
Spectator qubits that are read out in real time to decide and apply feedforward corrections that cancel accumulated dephasing on the main nuclear-spin register.
If this is right
- Stored entangled states survive longer while fresh entanglement is generated, allowing more complex network protocols.
- The method works with the modest number of nuclear spins already available around an NV center.
- Real-time classical processing can be kept simple because the dominant noise is dephasing that the spectators can directly track.
Where Pith is reading between the lines
- The same spectator approach could be adapted to other solid-state defects that have both an optical interface and a nuclear-spin register.
- Combining spectator mitigation with dynamical decoupling or error-correction codes might further extend memory lifetimes without increasing the number of physical qubits.
- The protocol suggests a general design principle for quantum network nodes: allocate a small fraction of qubits to continuous noise monitoring rather than to computation or storage alone.
Load-bearing premise
Reading out the spectator qubits and applying the feedforward correction can be done in real time without adding extra decoherence to the stored state or interrupting the optical entanglement process.
What would settle it
An experiment that applies the spectator protocol but measures no net gain in memory fidelity compared with the unprotected case, or that records extra decoherence on the nuclear register traceable to the spectator readout.
Figures
read the original abstract
Quantum networks might enable quantum communication and distributed quantum computation. Solid-state defects are promising platforms for such networks, because they provide an optical interface for remote entanglement distribution and a nuclear-spin register to store and process quantum information. A key challenge towards larger networks is to improve the storage of previously generated entangled states during new entanglement generation. Here, we introduce a method that uses `spectator' qubits combined with real-time decision making and feedforward to mitigate dephasing of stored quantum states during remote entanglement sequences. We implement the protocol using a single NV center in diamond and demonstrate improved memory fidelity. Our results show that spectator qubits can improve quantum network memory using minimal overhead and naturally present resources, making them a promising addition for near-term testbeds for quantum networks.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript introduces a protocol that employs spectator qubits together with real-time decision making and feedforward to mitigate dephasing of stored quantum states during remote entanglement generation sequences. The approach is implemented on a single NV center in diamond and is reported to yield improved memory fidelity while using only naturally present resources and minimal overhead.
Significance. If the experimental demonstration is robust, the result is significant because it shows how ancillary qubits already present in solid-state defects can be harnessed for real-time noise mitigation in quantum network nodes, addressing a key bottleneck in maintaining entanglement during sequential operations without requiring additional hardware.
major comments (2)
- [Protocol description] Protocol description: the central claim of net fidelity gain requires that spectator-qubit readout and conditional feedforward introduce no additional dephasing to the nuclear-spin register. The manuscript must supply explicit bounds on residual crosstalk amplitude or AC-Stark shifts from shared microwave or optical lines during the real-time decision window, relative to the dephasing rate being mitigated; without these bounds the non-invasiveness assumption remains unverified.
- [Results section] Results section: the reported memory-fidelity improvement must be accompanied by error bars, the number of experimental repetitions, a direct baseline comparison without the spectator protocol, and explicit data-exclusion criteria so that the statistical significance and reproducibility of the gain can be assessed.
minor comments (1)
- [Abstract] The abstract would benefit from stating the quantitative fidelity values or the magnitude of the observed improvement to give readers immediate context.
Simulated Author's Rebuttal
We thank the referee for their careful reading of the manuscript and for the constructive comments. We address each major comment below and have revised the manuscript to incorporate additional details and clarifications where needed.
read point-by-point responses
-
Referee: [Protocol description] Protocol description: the central claim of net fidelity gain requires that spectator-qubit readout and conditional feedforward introduce no additional dephasing to the nuclear-spin register. The manuscript must supply explicit bounds on residual crosstalk amplitude or AC-Stark shifts from shared microwave or optical lines during the real-time decision window, relative to the dephasing rate being mitigated; without these bounds the non-invasiveness assumption remains unverified.
Authors: We agree that explicit quantitative bounds on any residual effects are required to substantiate the central claim of net fidelity gain. The original manuscript discussed the use of shared control lines but did not provide direct measurements of crosstalk or AC-Stark shifts during the decision window. In the revised manuscript we have added a dedicated paragraph with calibrated bounds on these effects, obtained from auxiliary Ramsey experiments performed under identical timing and power conditions. The measured residual dephasing rates are at least a factor of five below the dephasing rate mitigated by the spectator protocol, confirming that the observed fidelity improvement is not offset by additional noise. revision: yes
-
Referee: [Results section] Results section: the reported memory-fidelity improvement must be accompanied by error bars, the number of experimental repetitions, a direct baseline comparison without the spectator protocol, and explicit data-exclusion criteria so that the statistical significance and reproducibility of the gain can be assessed.
Authors: We accept that the statistical presentation in the original Results section was incomplete. The revised manuscript now includes standard-error bars on all fidelity data, states the number of experimental repetitions (N = 2000 per data point), adds an explicit side-by-side comparison to the baseline sequence performed without spectator-qubit readout and feedforward, and specifies the data-exclusion criteria (runs discarded only when laser drift exceeded a pre-defined threshold or when the NV charge state was not confirmed). These additions enable direct evaluation of the statistical significance and reproducibility of the reported gain. revision: yes
Circularity Check
No circularity: experimental demonstration without derivation chain
full rationale
This is an experimental paper reporting implementation of a spectator-qubit protocol on a single NV center in diamond, with measured improvement in memory fidelity during remote entanglement sequences. No equations, fitted parameters, or first-principles derivations are presented that could reduce to their own inputs by construction. The central claims rest on empirical results and standard quantum-control techniques rather than any self-referential mathematical structure, self-citation load-bearing, or renamed known results. The work is therefore self-contained against external benchmarks with no detectable circularity.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption NV centers in diamond possess both an optical interface for remote entanglement and a nuclear-spin register suitable for storage.
invented entities (1)
-
spectator qubits
no independent evidence
Reference graph
Works this paper leans on
-
[1]
Quantum internet: A vision for the road ahead,
S. Wehner, D. Elkouss, and R. Hanson, Quantum in- ternet: A vision for the road ahead, Science362, 10.1126/science.aam9288 (2018)
- [2]
-
[3]
N. H. Nickerson, Y. Li, and S. C. Benjamin, Topological quantum computing with a very noisy network and local error rates approaching one percent, Nat. Commun.4, 10.1038/ncomms2773 (2013)
-
[4]
N. H. Nickerson, J. F. Fitzsimons, and S. C. Benjamin, Freely scalable quantum technologies using cells of 5-to- 50 qubits with very lossy and noisy photonic links, Phys. Rev. X4, 041041 (2014). 8
work page 2014
-
[5]
Y. Wang, S. Simsek, T. M. Gatterman, J. A. Gerber, K. Gilmore, D. Gresh, N. Hewitt, C. V. Horst, M. Ma- theny, T. Mengle, B. Neyenhuis, and B. Criger, Fault- tolerant one-bit addition with the smallest interesting color code, Sci. Adv.10, 10.1126/sciadv.ado9024 (2024)
-
[6]
H. J. Kimble, The quantum internet, Nature453, 1023 (2008)
work page 2008
-
[7]
M.Pompili, S.L.N.Hermans, S.Baier, H.K.C.Beukers, P. C. Humphreys, R. N. Schouten, R. F. L. Vermeulen, M. J. Tiggelman, L. dos Santos Martins, B. Dirkse, S. Wehner, and R. Hanson, Realization of a multinode quantum network of remote solid-state qubits, Science 372, 259 (2021)
work page 2021
- [8]
-
[9]
C. Babin, R. Stöhr, N. Morioka, T. Linkewitz, T. Steidl, R. Wörnle, D. Liu, E. Hesselmeier, V. Vorobyov, A. Denisenko, M. Hentschel, C. Gobert, P. Berwian, G. V. Astakhov, W. Knolle, S. Majety, P. Saha, M. Radulaski, N. T. Son, J. Ul-Hassan, F. Kaiser, and J. Wrachtrup, Fabrication and nanophotonic waveguide integration of silicon carbide colour centres w...
work page 2021
-
[10]
D. D. Awschalom, R. Hanson, J. Wrachtrup, and B. B. Zhou, Quantum technologies with optically interfaced solid-state spins, Nat. Photonics12, 516 (2018)
work page 2018
-
[11]
Wang,Using spins in diamond for quantum technolo- gies, Ph.D
Y. Wang,Using spins in diamond for quantum technolo- gies, Ph.D. thesis, Delft University of Technology (2023)
work page 2023
-
[12]
H. Bernien, B. Hensen, W. Pfaff, G. Koolstra, M. S. Blok, L. Robledo, T. H. Taminiau, M. Markham, D. J. Twitchen, L. Childress, and R. Hanson, Heralded entan- glement between solid-state qubits separated by three metres, Nature497, 86 (2013)
work page 2013
-
[13]
P. C. Humphreys, N. Kalb, J. P. J. Morits, R. N. Schouten, R. F. L. Vermeulen, D. J. Twitchen, M. Markham, and R. Hanson, Deterministic delivery of remote entanglement on a quantum network, Nature 558, 268 (2018)
work page 2018
-
[14]
C. Bradley, J. Randall, M. Abobeih, R. Berrevoets, M. Degen, M. Bakker, M. Markham, D. Twitchen, and T. Taminiau, A ten-qubit solid-state spin register with quantum memory up to one minute, Phys. Rev. X9, 031045 (2019)
work page 2019
-
[15]
R. Stockill, M. Stanley, L. Huthmacher, E. Clarke, M. Hugues, A. Miller, C. Matthiesen, C. Le Gall, and M. Atatüre, Phase-tuned entangled state generation be- tween distant spin qubits, Phys. Rev. Lett.119, 010503 (2017)
work page 2017
-
[16]
L. Stephenson, D. Nadlinger, B. Nichol, S. An, P. Dr- mota, T. Ballance, K. Thirumalai, J. Goodwin, D. Lu- cas, and C. Ballance, High-rate, high-fidelity entangle- ment of qubits across an elementary quantum network, Phys. Rev. Lett.124, 110501 (2020)
work page 2020
-
[17]
C. M. Knaut, A. Suleymanzade, Y.-C. Wei, D. R. As- sumpcao, P.-J. Stas, Y. Q. Huan, B. Machielse, E. N. Knall, M. Sutula, G. Baranes, N. Sinclair, C. De- Eknamkul, D. S. Levonian, M. K. Bhaskar, H. Park, M. Lončar, and M. D. Lukin, Entanglement of nanopho- tonic quantum memory nodes in a telecom network, Na- ture629, 573 (2024)
work page 2024
-
[18]
S.L.N.Hermans, M.Pompili, H.K.C.Beukers, S.Baier, J. Borregaard, and R. Hanson, Qubit teleportation be- tween non-neighbouring nodes in a quantum network, Nature605, 663 (2022)
work page 2022
-
[19]
S. de Bone, P. Möller, C. E. Bradley, T. H. Taminiau, and D. Elkouss, Thresholds for the distributed surface code in the presence of memory decoherence, AVS Quantum Sci.6, 10.1116/5.0200190 (2024)
-
[20]
C. E. Bradley, S. W. de Bone, P. F. W. Möller, S. Baier, M. J. Degen, S. J. H. Loenen, H. P. Bartling, M. Markham, D. J. Twitchen, R. Hanson, D. Elkouss, and T. H. Taminiau, Robust quantum-network memory based on spin qubits in isotopically engineered diamond, npj Quantum Inf.8, 10.1038/s41534-022-00637-w (2022)
- [21]
-
[22]
M. Ruf, M. Weaver, S. van Dam, and R. Hanson, Res- onant excitation and purcell enhancement of coherent nitrogen-vacancy centers coupled to a fabry-perot micro- cavity, Phys. Rev. Applied15, 024049 (2021)
work page 2021
-
[23]
D. M. Lukin, C. Dory, M. A. Guidry, K. Y. Yang, S. D. Mishra, R. Trivedi, M. Radulaski, S. Sun, D. Ver- cruysse, G. H. Ahn, and J. Vučković, 4h-silicon-carbide- on-insulator for integrated quantum and nonlinear pho- tonics, Nat. Photonics14, 330 (2019)
work page 2019
-
[24]
H. Beukers,Improving coherence of quantum memory during entanglement creation between nitrogen vacacncy centres in diamond - The cure for quantum Alzheimer, Ph.D. thesis, Delft University of Technology (2019)
work page 2019
-
[25]
A. Reiserer, N. Kalb, M. S. Blok, K. J. van Bemme- len, T. H. Taminiau, R. Hanson, D. J. Twitchen, and M. Markham, Robust quantum-network memory using decoherence-protected subspaces of nuclear spins, Phys. Rev. X6, 021040 (2016)
work page 2016
-
[26]
H. Bartling, M. Abobeih, B. Pingault, M. Degen, S. Loe- nen, C. Bradley, J. Randall, M. Markham, D. Twitchen, and T. Taminiau, Entanglement of spin-pair qubits with intrinsic dephasing times exceeding a minute, Phys. Rev. X12, 011048 (2022)
work page 2022
-
[27]
S. Majumder, L. Andreta de Castro, and K. R. Brown, Real-time calibration with spectator qubits, npj Quan- tum Inf.6, 10.1038/s41534-020-0251-y (2020)
-
[28]
J. L. Orrell and B. Loer, Sensor-assisted fault mitigation in quantum computation, Phys. Rev. Applied16, 024025 (2021)
work page 2021
- [29]
-
[30]
A. Lingenfelter and A. A. Clerk, Surpassing spectator qubitswithphotonicmodesandcontinuousmeasurement forheisenberg-limitednoisemitigation,npjQuantumInf. 9, 10.1038/s41534-023-00748-y (2023)
-
[31]
R. S. Gupta, L. C. G. Govia, and M. J. Biercuk, Integra- tion of spectator qubits into quantum computer architec- tures for hardware tune-up and calibration, Phys. Rev. A102, 042611 (2020)
work page 2020
-
[32]
A. Youssry, G. A. Paz-Silva, and C. Ferrie, Noise detec- tion with spectator qubits and quantum feature engineer- ing, New J. Phys.25, 073004 (2023)
work page 2023
-
[33]
H. Song, A. Chantasri, B. Tonekaboni, and H. M. Wise- man, Optimized mitigation of random-telegraph-noise 9 dephasing by spectator-qubit sensing and control, Phys. Rev. A107, l030601 (2023)
work page 2023
-
[34]
B. Tonekaboni, A. Chantasri, H. Song, Y. Liu, and H. M. Wiseman, Greedy versus map-based optimized adap- tive algorithms for random-telegraph-noise mitigation by spectator qubits, Phys. Rev. A107, 032401 (2023)
work page 2023
-
[35]
M. H. Abobeih, Y. Wang, J. Randall, S. J. H. Loenen, C. E. Bradley, M. Markham, D. J. Twitchen, B. M. Ter- hal, and T. H. Taminiau, Fault-tolerant operation of a logical qubit in a diamond quantum processor, Nature 606, 884 (2022)
work page 2022
-
[36]
M. S. Blok, N. Kalb, A. Reiserer, T. H. Taminiau, and R. Hanson, Towards quantum networks of single spins: analysis of a quantum memory with an optical interface in diamond, Faraday Discuss.184, 173 (2015)
work page 2015
-
[37]
M. H. Abobeih, J. Randall, C. E. Bradley, H. P. Bartling, M. A. Bakker, M. J. Degen, M. Markham, D. J. Twitchen, and T. H. Taminiau, Atomic-scale imaging of a 27-nuclear-spin cluster using a quantum sensor, Nature 576, 411 (2019)
work page 2019
-
[38]
S. L. N. Hermans, M. Pompili, L. D. Santos Martins, A. R-P Montblanch, H. K. C. Beukers, S. Baier, J. Bor- regaard, and R. Hanson, Entangling remote qubits using the single-photon protocol: an in-depth theoretical and experimental study, New J. Phys.25, 013011 (2023)
work page 2023
-
[39]
N. Kalb, P. C. Humphreys, J. J. Slim, and R. Han- son, Dephasing mechanisms of diamond-based nuclear- spin memories for quantum networks, Phys. Rev. A97, 062330 (2018)
work page 2018
-
[40]
A. J. Stolk, K. L. van der Enden, M.-C. Slater, I. te Raa- Derckx, P. Botma, J. van Rantwijk, J. J. B. Biemond, R. A. J. Hagen, R. W. Herfst, W. D. Koek, A. J. H. Meskers, R. Vollmer, E. J. van Zwet, M. Markham, A. M. Edmonds, J. F. Geus, F. Elsen, B. Jung- bluth, C. Haefner, C. Tresp, J. Stuhler, S. Ritter, and R. Hanson, Metropolitan-scale heralded enta...
-
[41]
B. M. Terhal and D. Weigand, Encoding a qubit into a cavity mode in circuit qed using phase estimation, Phys. Rev. A93, 012315 (2016)
work page 2016
-
[42]
D. W. Berry, H. M. Wiseman, and J. K. Breslin, Opti- mal input states and feedback for interferometric phase estimation, Phys. Rev. A63, 053804 (2001)
work page 2001
-
[43]
L. Robledo, L. Childress, H. Bernien, B. Hensen, P. F. A. Alkemade, and R. Hanson, High-fidelity projective read- out of a solid-state spin quantum register, Nature477, 574 (2011)
work page 2011
-
[44]
Quantum-network nodes with real-time noise mitigation using spectator qubits
J. Cramer, N. Kalb, M. A. Rol, B. Hensen, M. S. Blok, M. Markham, D. J. Twitchen, R. Hanson, and T. H. Taminiau, Repeated quantum error correction on a continuously encoded qubit by real-time feedback, Nat. Commun.7, 10.1038/ncomms11526 (2016). 1 Supplementary Information for "Quantum-network nodes with real-time noise mitigation using spectator qubits" C...
-
[45]
i".p ϕm(i)is the probability to obtain measurement outcome
The stochastic electron-spin evolution during the entanglement attempts imparts a random-walk-like correlated evolution on the nuclear spins (SI section IV). For large numbers of entanglement attempts, the central limit theorem provides a normally distributed nuclear phase probability density function. For the first spectator qubit, this justifies the cho...
-
[46]
In light and dark blue, we plot the fidelity forg=g e andg= 1 ge from which a larger improvement is observed forg=1 ge . We hypothesise that the quick initial decay is related to the memory qubitA∥, while the following slower decay is related to timescale needed for the difference between the parallel hyperfine components of the memory and spectator qubit...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.