pith. sign in

arxiv: 2505.05582 · v1 · submitted 2025-05-08 · 🪐 quant-ph

Quantum-network nodes with real-time noise mitigation using spectator qubits

Pith reviewed 2026-05-22 15:36 UTC · model grok-4.3

classification 🪐 quant-ph
keywords quantum networksspectator qubitsNV centerdephasing mitigationfeedforward controlremote entanglementnuclear spin memoryreal-time correction
0
0 comments X

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.

The paper shows how to protect quantum information stored in a nuclear-spin register while new remote entanglement is being generated. It does this by dedicating some of the available qubits as spectators that continuously sense the dominant noise and trigger corrections on the fly. A reader should care because the approach uses only resources already present in solid-state defects and adds little overhead, directly addressing a bottleneck that currently limits the size of quantum networks.

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

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

  • 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

Figures reproduced from arXiv: 2505.05582 by C. E. Bradley, N. Demetriou, S. J. H. Loenen, T. H. Taminiau, Y. Wang.

Figure 1
Figure 1. Figure 1: Concept: spectator qubits for network nodes. a) Schematic of the spectator qubit protocol in a quantum network setting. Blue blocks indicate separate network nodes that each hold a communication qubit (purple) that is used as an optical interface. Additional qubits (only drawn in node 1) interact with the communication qubit and can serve different purposes, such as memory qubit (hold previously generated … view at source ↗
Figure 2
Figure 2. Figure 2: Spectator-based real-time noise mitigation. a) Experimental sequence with M = 2 spectator qubits. After NREA entanglement attempts, K spectators are read out (K=M=2 in the sequence shown). To maximize the information gain, the readout basis of each spectator (set by a RZ (ϕ) rotation), is determined in real-time by the combined measurement syndrome of previously read-out spectators (see SI section III). b)… view at source ↗
Figure 3
Figure 3. Figure 3: Gate-based spectator implementation. a) Experimental sequence. Before memory retrieval, the state of a spectator qubit is mapped to the electron-spin qubit and a waiting time is applied that implements an electron-controlled RZ (θ) operation on all nuclear spin qubits (SI section VII). Since the electron state is correlated with the phase of a spectator qubit, all nuclear spins that experienced correlated … view at source ↗
Figure 4
Figure 4. Figure 4: Memory fidelity F for different entangle￾ment generation success probabilities using spectator qubits. a) Memory fidelity F after NREA entanglement gen￾eration attempts in the gate-based implementation using K spectators, averaged over the memory initial states |0⟩, |+X⟩ and |+Y⟩. b) Using the fits (solid lines in a, see SI section IV), we plot the expected average memory-qubit fidelity (F, main text) for … view at source ↗
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.

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 / 1 minor

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)
  1. [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.
  2. [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)
  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

2 responses · 0 unresolved

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
  1. 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

  2. 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

0 steps flagged

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

0 free parameters · 1 axioms · 1 invented entities

The central claim rests on standard properties of NV centers in diamond and on the assumption that spectator qubits can be operated independently. No free parameters are explicitly fitted in the abstract. The spectator qubit itself is introduced as a new resource for this purpose.

axioms (1)
  • domain assumption NV centers in diamond possess both an optical interface for remote entanglement and a nuclear-spin register suitable for storage.
    Invoked when the abstract states the platform choice and the storage challenge.
invented entities (1)
  • spectator qubits no independent evidence
    purpose: To monitor noise and enable real-time feedforward corrections on the stored state.
    New resource introduced in the method description; no independent evidence outside this work is provided in the abstract.

pith-pipeline@v0.9.0 · 5672 in / 1417 out tokens · 45297 ms · 2026-05-22T15:36:25.005534+00:00 · methodology

discussion (0)

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

Reference graph

Works this paper leans on

46 extracted references · 46 canonical work pages

  1. [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. [2]

    Jiang, J

    L. Jiang, J. M. Taylor, A. S. Sørensen, and M. D. Lukin, Distributed quantum computation based on small quan- tum registers, Phys. Rev. A76, 062323 (2007)

  3. [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. [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

  5. [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. [6]

    H. J. Kimble, The quantum internet, Nature453, 1023 (2008)

  7. [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)

  8. [8]

    Nguyen, D

    C. Nguyen, D. Sukachev, M. Bhaskar, B. Machielse, D. Levonian, E. Knall, P. Stroganov, R. Riedinger, H. Park, M. Lončar, and M. Lukin, Quantum net- work nodes based on diamond qubits with an efficient nanophotonic interface, Phys. Rev. Lett.123, 183602 (2019)

  9. [9]

    Babin, R

    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...

  10. [10]

    D. D. Awschalom, R. Hanson, J. Wrachtrup, and B. B. Zhou, Quantum technologies with optically interfaced solid-state spins, Nat. Photonics12, 516 (2018)

  11. [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)

  12. [12]

    Bernien, B

    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)

  13. [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)

  14. [14]

    Bradley, J

    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)

  15. [15]

    Stockill, M

    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)

  16. [16]

    Stephenson, D

    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)

  17. [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)

  18. [18]

    Borregaard, and R

    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)

  19. [19]

    de Bone, P

    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. [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. [21]

    Faraon, P

    A. Faraon, P. E. Barclay, C. Santori, K.-M. C. Fu, and R. G. Beausoleil, Resonant enhancement of the zero- phonon emission from a colour centre in a diamond cav- ity, Nat. Photonics5, 301 (2011)

  22. [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)

  23. [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)

  24. [24]

    Beukers,Improving coherence of quantum memory during entanglement creation between nitrogen vacacncy centres in diamond - The cure for quantum Alzheimer, Ph.D

    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)

  25. [25]

    Reiserer, N

    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)

  26. [26]

    Bartling, M

    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)

  27. [27]

    Majumder, L

    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. [28]

    J. L. Orrell and B. Loer, Sensor-assisted fault mitigation in quantum computation, Phys. Rev. Applied16, 024025 (2021)

  29. [29]

    Singh, C

    K. Singh, C. E. Bradley, S. Anand, V. Ramesh, R. White, and H. Bernien, Mid-circuit correction of correlated phase errors using an array of spectator qubits, Science 380, 1265 (2023)

  30. [30]

    Lingenfelter and A

    A. Lingenfelter and A. A. Clerk, Surpassing spectator qubitswithphotonicmodesandcontinuousmeasurement forheisenberg-limitednoisemitigation,npjQuantumInf. 9, 10.1038/s41534-023-00748-y (2023)

  31. [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)

  32. [32]

    Youssry, G

    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)

  33. [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)

  34. [34]

    Tonekaboni, A

    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)

  35. [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)

  36. [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)

  37. [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)

  38. [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)

  39. [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)

  40. [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. [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)

  42. [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)

  43. [43]

    Robledo, L

    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)

  44. [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. [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. [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...