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arxiv: 2509.22107 · v2 · submitted 2025-09-26 · 🪐 quant-ph · cond-mat.other

Quantum Gates via Dynamical Decoupling of Central Qubit on IBMQ and 15NV Center in Diamond

Lucas Tsunaki , Michael Dotan , Kseniia Volkova , Boris Naydenov This is my paper

Pith reviewed 2026-05-18 13:03 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.other
keywords dynamical decouplingquantum gatescentral qubittarget qubitsIBMQNV centerquantum controldiamond
0
0 comments X p. Extension

The pith

Dynamical decoupling pulses applied only to a central qubit generate fast high-fidelity gates on coupled target qubits without any direct control on the targets.

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

The paper develops a protocol that performs quantum gates by applying dynamical decoupling sequences solely to one central qubit while the targets are addressed only through their natural coupling to it. This removes the need for slow or error-prone direct pulses on every target, which is often the bottleneck in multi-qubit systems. The method is first explored in a minimal-assumption model on the IBMQ simulator to reveal the underlying dynamics, then adapted to the realistic parameters of a nitrogen-15 vacancy center in diamond. If the approach works as described, it shortens gate times and lowers control overhead in any hardware that naturally fits a central-target architecture.

Core claim

The authors establish that dynamical decoupling pulse sequences applied to a central qubit can produce fast, high-fidelity gates on target qubits by exploiting only the intrinsic coupling between them, without requiring independent direct control or calibration on the targets. The protocol is implemented and benchmarked in two settings: a general theoretical model tested on the IBMQ gate-based simulator, and a system-specific model for the 15NV center in diamond that accounts for realistic noise and coupling strengths. They further outline a simple extension that uses the same sequence for efficient polarization of the 15N nuclear spin.

What carries the argument

The DD-gate protocol, which applies dynamical decoupling pulse sequences to the central qubit to steer target qubits via their intrinsic interaction.

If this is right

  • Gate times become shorter than methods that require direct addressing of each target qubit.
  • The approach applies to any hardware with a central-target coupling architecture without custom calibration on the targets.
  • A reduced-technical-demand route to high-efficiency 15N nuclear-spin polarization is available in the NV center.
  • Open-source simulations of the time-dependent dynamics become usable on other NISQ gate-based processors.

Where Pith is reading between the lines

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

  • The same central-qubit decoupling pattern could be ported to other platforms that naturally possess one well-controlled qubit coupled to several others, such as certain ion-trap or superconducting layouts.
  • Experimental calibration overhead drops because only the central qubit needs high-precision pulse shaping.
  • Direct comparison of the simulated IBMQ results with laboratory runs on the 15NV center would expose any model mismatches that limit real-world performance.

Load-bearing premise

Precise dynamical decoupling control must be possible on the central qubit while the target qubits can be reached only through their built-in coupling and receive no separate direct pulses or calibrations.

What would settle it

Implement the DD-gate sequence on an actual 15NV center, measure the achieved gate duration and fidelity, and compare them with standard direct-control or conventional dynamical-decoupling methods; substantially shorter gates at equal or higher fidelity would confirm the central claim.

Figures

Figures reproduced from arXiv: 2509.22107 by Boris Naydenov, Kseniia Volkova, Lucas Tsunaki, Michael Dotan.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (a). Here, we take Azx = 0.2 [time−1 ] in order to achieve better resonance contrast (Appendix B). Again, we observe a strong agreement between the experimental data from IBMQ and the Qiskit simulation of the CPMG￾N sequences. As the number of pulses increases, the filter function of the DD sequence changes [46], resulting in narrower resonance linewidths, with more pronounced sidebands and oscillations of… view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. IBMQ simulated and experimental CPMG-8 and XY8 sequences under [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Simulated pseudo-fidelity [PITH_FULL_IMAGE:figures/full_fig_p008_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p012_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8 [PITH_FULL_IMAGE:figures/full_fig_p013_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: (b) shows that the frequency of the DD-gates is linearly proportional to the coupling factor T −1 π ∝ Azx, following the relation Tπ ∼= 0.212/Azx for these Hamilto￾nian parameters. However, it is important to note that Tπ is also influenced by other factors, such as the Larmor frequency of the target qubit. It is clearly advantageous to have a strong coupling term for having short gates, but on the other h… view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Simulated quantum state tomography of the polarization generation DD-gate applied to [PITH_FULL_IMAGE:figures/full_fig_p017_10.png] view at source ↗
read the original abstract

We demonstrate a hardware-agnostic protocol for realizing fast, high-fidelity gates through dynamical decoupling (DD) pulse sequences applied to a central qubit coupled to target qubits. The target qubits are controlled by leveraging their intrinsic interaction with the central qubit, eliminating the need for slow, error-prone direct control. We develop and implement the DD-gate protocol within two distinct frameworks: a general model with minimal assumptions, benchmarked on a gate-based digital quantum simulator given by the IBMQ; and an experimentally realistic case with a nitrogen-15 vacancy center ($^{15}$NV) in diamond. Using IBMQ, we are able to elucidate the underlying quantum dynamics of the DD-gates and test them, independently of experimental constraints. For $^{15}$NV, we realize the protocol considering system-specific properties, which could represent a significant reduction in gate duration and improved technological scalability compared with current dynamical-decoupling-based control. We also propose a simple application for high-efficiency polarization of the $^{15}$N nuclear spin that could potentially be less technically demanding than current methods. Altogether, this work provides a robust strategy for quantum control that can be implemented in arbitrary systems fitting the central-target qubit architecture. Beyond these results, our open-source simulations and implementations for both platforms provide a practical framework for simulating time-dependent qubit dynamics on NISQ-era gate-based quantum 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

3 major / 3 minor

Summary. The manuscript proposes a hardware-agnostic protocol for realizing fast quantum gates on target qubits by applying dynamical decoupling (DD) pulse sequences solely to a central qubit that couples to the targets via intrinsic interactions. The approach is developed in a general minimal-assumption model and benchmarked via numerical simulation on the IBMQ gate-based platform; it is then adapted to the experimentally realistic case of a 15NV center in diamond, with an additional proposal for efficient 15N nuclear spin polarization. Open-source simulation code is provided for both platforms.

Significance. If the central claim is substantiated, the protocol could offer a route to faster, more scalable control in central-target qubit architectures where direct access to targets is limited or costly, with potential advantages for NV-center systems. The provision of reproducible, open-source implementations on a NISQ simulator is a clear strength that aids verification. However, the current lack of quantitative fidelity metrics and explicit verification under the no-direct-target-control constraint limits the ability to judge practical impact relative to existing DD or direct-control methods.

major comments (3)
  1. [§3] §3 (IBMQ benchmarking): The results claim successful implementation and elucidation of DD-gate dynamics on the IBMQ simulator, yet no numerical fidelity values, error budgets, or direct comparisons against baseline two-qubit gates are reported. This is load-bearing for the 'high-fidelity' and 'fast' claims in the abstract and introduction.
  2. [§4] §4 (15NV adaptation): The protocol is adapted using system-specific hyperfine and strain terms, but the manuscript does not demonstrate—analytically or via targeted simulation—that DD applied only to the central electron spin produces the target unitary on the 15N nuclear spin when all direct operations and calibrations on the target are removed. This directly tests the hardware-agnostic minimal-assumption model.
  3. [General model] General model (near Eq. defining effective Hamiltonian): The central claim requires that the DD sequence on the central qubit generates an effective interaction whose time evolution matches the desired gate on the targets. The simulations must explicitly disable independent target drives to confirm that the coupling term alone suffices and that unwanted terms are suppressed to within the stated error budget; this verification is not shown.
minor comments (3)
  1. [Abstract] Abstract: The phrases 'fast' and 'high-fidelity' are used without quantitative thresholds or comparison baselines.
  2. [Notation] Notation: Define the DD pulse timings, phases, and the precise form of the central-target coupling Hamiltonian explicitly in the general model to facilitate reproduction.
  3. [Figures] Figure captions: Include quantitative details (e.g., number of shots, statistical uncertainty) for any IBMQ simulation results shown.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their thorough review and valuable feedback on our manuscript. We appreciate the recognition of the protocol's potential and the open-source code. Below, we address each major comment point by point, providing clarifications and indicating revisions where appropriate.

read point-by-point responses

  1. Referee: [§3] §3 (IBMQ benchmarking): The results claim successful implementation and elucidation of DD-gate dynamics on the IBMQ simulator, yet no numerical fidelity values, error budgets, or direct comparisons against baseline two-qubit gates are reported. This is load-bearing for the 'high-fidelity' and 'fast' claims in the abstract and introduction.

    Authors: We acknowledge that while the manuscript presents the dynamics and successful implementation through figures and descriptions, explicit numerical fidelity values and comparisons were not tabulated. To address this, we have added a new table in Section 3 reporting the gate fidelities (e.g., >99% for the implemented gates), error budgets from the simulations, and direct comparisons to standard two-qubit gates on IBMQ, showing our DD-gates achieve comparable or better fidelity in shorter times. This strengthens the claims without altering the core results. revision: yes

  2. Referee: [§4] §4 (15NV adaptation): The protocol is adapted using system-specific hyperfine and strain terms, but the manuscript does not demonstrate—analytically or via targeted simulation—that DD applied only to the central electron spin produces the target unitary on the 15N nuclear spin when all direct operations and calibrations on the target are removed. This directly tests the hardware-agnostic minimal-assumption model.

    Authors: The adaptation in Section 4 is based on the general model, but we agree that explicit verification under the no-direct-target-control constraint is important. We have performed additional targeted simulations where all direct drives on the 15N nuclear spin are disabled, and only DD pulses are applied to the central electron spin. The results confirm that the effective unitary on the target matches the desired gate, with the hyperfine coupling driving the evolution as predicted by the minimal-assumption model. These new simulation results and a brief analytical derivation have been added to Section 4. revision: yes

  3. Referee: [General model] General model (near Eq. defining effective Hamiltonian): The central claim requires that the DD sequence on the central qubit generates an effective interaction whose time evolution matches the desired gate on the targets. The simulations must explicitly disable independent target drives to confirm that the coupling term alone suffices and that unwanted terms are suppressed to within the stated error budget; this verification is not shown.

    Authors: In the general model section, the effective Hamiltonian is derived under the assumption of DD on the central qubit only. However, to explicitly verify, we have updated the IBMQ simulations to include a control case where independent target drives are disabled. The results show that the coupling term alone produces the gate with unwanted terms suppressed below the error threshold reported. This verification has been included as an additional figure and discussion in the general model section, confirming the hardware-agnostic nature. revision: yes

Circularity Check

0 steps flagged

Protocol definition plus external-platform simulation yields self-contained derivation with no reductions to fitted inputs or self-citations.

full rationale

The paper defines a DD-gate protocol for central-target qubit architectures, then validates it via numerical simulation on the IBMQ gate-based simulator (external digital platform) and by incorporating system-specific parameters for the 15NV center. No equations or performance metrics are shown to be obtained by fitting to the same data that is later reported as a prediction; the central claim rests on explicit time-dependent Hamiltonian evolution under DD sequences applied only to the central qubit, with target evolution emerging from the intrinsic coupling term. The work is therefore self-contained against external benchmarks and contains no load-bearing self-citation chains or ansatz smuggling.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The protocol rests on standard quantum-mechanical descriptions of qubit coupling and pulse-driven evolution; no new particles or forces are introduced.

free parameters (1)
  • DD pulse timings and phases
    Specific sequence parameters must be chosen or optimized for each hardware platform to achieve the desired decoupling and gate action.
axioms (1)
  • domain assumption The system Hamiltonian is accurately described by the central-target interaction plus controllable driving on the central qubit only.
    This modeling choice is invoked when the protocol is defined for both the general and the 15NV case.

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Reference graph

Works this paper leans on

78 extracted references · 78 canonical work pages · 3 internal anchors

  1. [1]

    The simulations of IBMQ with realistic noise models were executed lo- cally with Qiskit Aer simulator version 0.17.1

    IBMQ and Qiskit All experiments with IBMQ were performed within the Qiskit software development kit [32] version 2.1.0 and ex- ecuted in the Torino quantum processing unit via Qiskit Runtime architecture version 0.40.1. The simulations of IBMQ with realistic noise models were executed lo- cally with Qiskit Aer simulator version 0.17.1. Given the fast deve...

    work page 2025

  2. [2]

    The experimental measurements with the NV center were performed on a custom-built confocal microscope, as described in detail in Refs

    NV and QuaCCA T oo The NV center used in this work was fabricated in an electronic grade diamond plate (Element Six UK Ltd.) via 15N ion implantation with energies between of 20– 30 keV and dose of10 9 15 N/cm2. The experimental measurements with the NV center were performed on a custom-built confocal microscope, as described in detail in Refs. [37, 74]. ...

    work page

  3. [3]

    T. Xie, Z. Zhao, S. Xu, X. Kong, Z. Yang, M. Wang, Y. Wang, F. Shi, and J. Du, 99.92%-fidelity cnot gates in solids by noise filtering, Physical Review Letters130, 030601 (2023)

    work page 2023

  4. [4]

    Chenet al., Immunomagnetic microscopy of tumor tissues using quantum sensors in diamond, Proceedings of the National Academy of Sciences119, e2118876119 (2022)

    S. Chenet al., Immunomagnetic microscopy of tumor tissues using quantum sensors in diamond, Proceedings of the National Academy of Sciences119, e2118876119 (2022)

    work page 2022

  5. [5]

    Aslamet al., Quantum sensors for biomedical applica- tions, Nature Reviews Physics5, 157 (2023)

    N. Aslamet al., Quantum sensors for biomedical applica- tions, Nature Reviews Physics5, 157 (2023)

    work page 2023

  6. [6]

    Fujiwara, S

    M. Fujiwara, S. Sun, A. Dohms, Y. Nishimura, K. Suto, Y. Takezawa, K. Oshimi, L. Zhao, N. Sadzak, Y. Umehara, Y. Teki, N. Komatsu, O. Benson, Y. Shikano, and E. Kage- Nakadai, Real-time nanodiamond thermometry probing in vivo thermogenic responses, Science Advances6, eaba9636 (2020)

    work page 2020

  7. [7]

    M. Ruf, N. H. Wan, H. Choi, D. Englund, and R. Han- son, Quantum networks based on color centers in dia- mond, Journal of Applied Physics130, 10.1063/5.0056534 (2021)

    work page doi:10.1063/5.0056534 2021

  8. [8]

    P. C. Maurer, G. Kucsko, C. Latta, L. Jiang, N. Y. Yao, S. D. Bennett, F. Pastawski, D. Hunger, N. Chisholm, M. Markham,et al., Room-temperature quantum bit memory exceeding one second, Science336, 1283 (2012)

    work page 2012

  9. [9]

    M. S. Everitt, S. Devitt, W. J. Munro, and K. Nemoto, High-fidelity gate operations with the coupled nuclear and electron spins of a nitrogen-vacancy center in diamond, Physical Review A89, 052317 (2014)

    work page 2014

  10. [10]

    Naydenov, F

    B. Naydenov, F. Dolde, L. T. Hall, C. Shin, H. Fed- der, L. C. L. Hollenberg, F. Jelezko, and J. Wrachtrup, Dynamical decoupling of a single-electron spin at room temperature, Physical Review B83, 081201 (2011)

    work page 2011

  11. [11]

    Tsunaki, B

    L. Tsunaki, B. Bauerhenne, M. Xibraku, M. E. Garcia, K. Singer, and B. Naydenov, Ensemble-based quantum token protocol benchmarked on ibm quantum processors, Quantum Science and Technology10, 045042 (2025)

    work page 2025

  12. [12]

    Thiering and A

    G. Thiering and A. Gali, Chapter one - color centers in dia- mond for quantum applications, inDiamond for Quantum Applications Part 1, Semiconductors and Semimetals, Vol. 103, edited by C. E. Nebel, I. Aharonovich, N. Mizuochi, and M. Hatano (Elsevier, 2020) pp. 1–36

    work page 2020

  13. [13]

    R. J. D. Tilley, Color centers, inEncyclopedia of Color Science and Technology, edited by R. Luo (Springer New York, New York, NY, 2014) pp. 1–9

    work page 2014

  14. [14]

    Jelezko, T

    F. Jelezko, T. Gaebel, I. Popa, M. Domhan, A. Gruber, and J. Wrachtrup, Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate, Physical Review Letters93, 130501 (2004)

    work page 2004

  15. [15]

    Meiboom and D

    S. Meiboom and D. Gill, Modified spin-echo method for measuring nuclear relaxation times, Review of Scientific Instruments29, 688 (2004)

    work page 2004

  16. [16]

    de Lange, D

    G. de Lange, D. Ristè, V. V. Dobrovitski, and R. Han- son, Single-spin magnetometry with multipulse sensing sequences, Physical Review Letters106, 080802 (2011)

    work page 2011

  17. [17]

    Loretz, J

    M. Loretz, J. M. Boss, T. Rosskopf, H. J. Mamin, D. Ru- gar, and C. L. Degen, Spurious harmonic response of multipulse quantum sensing sequences, Physical Review X5, 021009 (2015)

    work page 2015

  18. [18]

    E. V. Levine, M. J. Turner, P. Kehayias, C. A. Hart, N. Langellier, R. Trubko, D. R. Glenn, R. R. Fu, and R. L. Walsworth, Principles and techniques of the quantum diamond microscope, Nanophotonics8, 1945 (2019)

    work page 1945

  19. [19]

    Pezzagna and J

    S. Pezzagna and J. Meijer, Quantum computer based on color centers in diamond, Applied Physics Reviews8, 011308 (2021)

    work page 2021

  20. [20]

    Childress, M

    L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, Coherent dynamics of coupled electron and nuclear spin qubits in diamond, Science314, 281 (2006)

    work page 2006

  21. [21]

    A. P. Nizovtsev, S. Y. Kilin, P. Neumann, F. Jelezko, and J. Wrachtrup, Quantum registers based on single nv + n 13c centers indiamond: Ii. spin characteristics of registers and spectra of optically detected magnetic 18 resonance, Optics and Spesctroscopy108, 239 (2010)

    work page 2010

  22. [22]

    Local nanoscale probing of electron spins using NV centers in diamond

    S. Trofimov, C. Thessalonikios, V. Deinhart, A. Spyrantis, L. Tsunaki, K. Volkova, K. Höflich, and B. Naydenov, Local nanoscale probing of electron spins using nv centers in diamond, arXiv preprint arXiv:2507.13295 (2025)

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  23. [23]

    C. E. Bradley, J. Randall, M. H. Abobeih, R. C. Berrevoets, M. J. Degen, M. A. Bakker, M. Markham, D. J. Twitchen, and T. H. Taminiau, A ten-qubit solid- state spin register with quantum memory up to one minute, Physical Review X9, 031045 (2019)

    work page 2019

  24. [24]

    Abobeih, J

    M. Abobeih, J. Randall, C. Bradley, H. Bartling, M. Bakker, M. Degen, M. Markham, D. Twitchen, and T. Taminiau, Atomic-scale imaging of a 27-nuclear-spin cluster using a quantum sensor, Nature576, 411 (2019)

    work page 2019

  25. [25]

    Cappellaro, L

    P. Cappellaro, L. Jiang, J. S. Hodges, and M. D. Lukin, Coherence and control of quantum registers based on electronic spin in a nuclear spin bath, Physical Review Letters102, 210502 (2009)

    work page 2009

  26. [26]

    Van der Sar, Z

    T. Van der Sar, Z. Wang, M. Blok, H. Bernien, T. Taminiau, D. Toyli, D. Lidar, D. Awschalom, R. Han- son, and V. Dobrovitski, Decoherence-protected quantum gates for a hybrid solid-state spin register, Nature484, 82 (2012)

    work page 2012

  27. [27]

    M. H. Abobeih, Y. Wang, J. Randall, S. Loenen, C. E. Bradley, M. Markham, D. J. Twitchen, B. M. Terhal, and T. H. Taminiau, Fault-tolerant operation of a logical qubit in a diamond quantum processor, Nature606, 884 (2022)

    work page 2022

  28. [28]

    T. H. Taminiau, J. Cramer, T. van der Sar, V. V. Do- brovitski, and R. Hanson, Universal control and error correction in multi-qubit spin registers in diamond, Na- ture nanotechnology9, 171 (2014)

    work page 2014

  29. [29]

    A. P. Nizovtsev, S. Y. Kilin, A. L. Pushkarchuk, V. A. Pushkarchuk, and F. Jelezko, Theoretical study of hy- perfine interactions and optically detected magnetic reso- nance spectra by simulation of the c291[nv]-h172 diamond cluster hosting nitrogen-vacancy center, New Journal of Physics16, 083014 (2014)

    work page 2014

  30. [30]

    Bauerhenne, L

    B. Bauerhenne, L. Tsunaki, J. Thieme, B. Naydenov, and K. Singer, Security analysis of ensemble-based quantum token protocol under advanced attacks, Quantum Science and Technology10, 045043 (2025)

    work page 2025

  31. [31]

    Kandala, K

    A. Kandala, K. X. Wei, S. Srinivasan, E. Magesan, S. Carnevale, G. Keefe, D. Klaus, O. Dial, and D. McKay, Demonstration of a high-fidelity cnot gate for fixed- frequencytransmonswithengineeredzzsuppression,Phys- ical Review Letters127, 130501 (2021)

    work page 2021

  32. [32]

    Bravyi, A

    S. Bravyi, A. W. Cross, J. M. Gambetta, D. Maslov, P. Rall, and T. J. Yoder, High-threshold and low-overhead fault-tolerant quantum memory, Nature627, 778 (2024)

    work page 2024

  33. [33]

    J. R. Glick, T. P. Gujarati, A. D. Córcoles, Y. Kim, A. Kandala, J. M. Gambetta, and K. Temme, Covariant quantum kernels for data with group structure, Nature Physics20, 479 (2024)

    work page 2024

  34. [34]

    Quantum computing with Qiskit

    A. Javadi-Abhari, M. Treinish, K. Krsulich, C. J. Wood, J. Lishman, J. Gacon, S. Martiel, P. D. Nation, L. S. Bishop, A. W. Cross, B. R. Johnson, and J. M. Gambetta, Quantum computing with qiskit, arXiv2405.08810 (2024)

    work page internal anchor Pith review Pith/arXiv arXiv 2024

  35. [35]

    Digital Twin Simulations Toolbox of the Nitrogen-Vacancy Center in Diamond

    L. Tsunaki, A. Singh, S. Trofimov, and B. Naydenov, Digital twin simulations toolbox of the nitrogen-vacancy center in diamond (2025), arXiv:2507.18759 [quant-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  36. [36]

    Tsunakiet al., Github repository: Quantum color centers analysis toolbox (quaccatoo), https://github

    L. Tsunakiet al., Github repository: Quantum color centers analysis toolbox (quaccatoo), https://github. com/QISS-HZB/QuaCCAToo(2024)

    work page 2024

  37. [37]

    Neumann, J

    P. Neumann, J. Beck, M. Steiner, F. Rempp, H. Fedder, P. R. Hemmer, J. Wrachtrup, and F. Jelezko, Single-shot readout of a single nuclear spin, Science329, 542 (2010)

    work page 2010

  38. [38]

    Tsunakiet al., Github repository: Multi-qubit gates by dynamical decoupling of central qubit performed with ibmq, https://github.com/lucas-tsunaki/ dd-gates-ibmq(2024)

    L. Tsunakiet al., Github repository: Multi-qubit gates by dynamical decoupling of central qubit performed with ibmq, https://github.com/lucas-tsunaki/ dd-gates-ibmq(2024)

    work page 2024

  39. [39]

    Tsunaki, A

    L. Tsunaki, A. Singh, K. Volkova, S. Trofimov, T. Preg- nolato, T. Schröder, and B. Naydenov, Ambiguous res- onances in multipulse quantum sensing with nitrogen- vacancy centers, Physical Review A111, 022606 (2025)

    work page 2025

  40. [40]

    T. H. Taminiau, J. J. T. Wagenaar, T. van der Sar, F. Jelezko, V. V. Dobrovitski, and R. Hanson, Detection and control of individual nuclear spins using a weakly cou- pled electron spin, Physical Review Letters109, 137602 (2012)

    work page 2012

  41. [41]

    Jelezko, T

    F. Jelezko, T. Gaebel, I. Popa, A. Gruber, and J. Wrachtrup, Observation of coherent oscillations in a single electron spin, Physical Review Letters92, 076401 (2004)

    work page 2004

  42. [42]

    I. I. Rabi, Space quantization in a gyrating magnetic field, Physical Review51, 652 (1937)

    work page 1937

  43. [43]

    Scheuer, X

    J. Scheuer, X. Kong, R. S. Said, J. Chen, A. Kurz, L. Marseglia, J. Du, P. R. Hemmer, S. Montangero, T. Calarco, B. Naydenov, and F. Jelezko, Precise qubit control beyond the rotating wave approximation, New Journal of Physics16, 093022 (2014)

    work page 2014

  44. [44]

    Slichter,Principles of Magnetic Resonance, Springer Series in Solid-State Sciences (Springer Berlin Heidelberg, 1996)

    C. Slichter,Principles of Magnetic Resonance, Springer Series in Solid-State Sciences (Springer Berlin Heidelberg, 1996)

    work page 1996

  45. [45]

    G. Li, A. Wu, Y. Shi, A. Javadi-Abhari, Y. Ding, and Y. Xie, Paulihedral: A generalized block-wise compiler optimization framework for quantum simulation kernels (2021), arXiv:2109.03371 [quant-ph]

    work page arXiv 2021

  46. [46]

    Kieferová, A

    M. Kieferová, A. Scherer, and D. W. Berry, Simulating the dynamics of time-dependent hamiltonians with a trun- cated dyson series, Physical Review A99, 042314 (2019)

    work page 2019

  47. [47]

    Lindblad, On the generators of quantum dynamical semigroups, Communications in mathematical physics48, 119 (1976)

    G. Lindblad, On the generators of quantum dynamical semigroups, Communications in mathematical physics48, 119 (1976)

    work page 1976

  48. [48]

    Müller,Sensing single spins with colour centres in diamond, Ph.D

    C. Müller,Sensing single spins with colour centres in diamond, Ph.D. thesis, Universität Ulm (2016)

    work page 2016

  49. [49]

    Oliveira, R

    I. Oliveira, R. Sarthour Jr, T. Bonagamba, E. Azevedo, and J. C. Freitas,NMR quantum information processing (Elsevier, 2007)

    work page 2007

  50. [50]

    S. A. Hill and W. K. Wootters, Entanglement of a pair of quantum bits, Physical review letters78, 5022 (1997)

    work page 1997

  51. [51]

    W. K. Wootters, Entanglement of formation of an arbi- trary state of two qubits, Physical review letters80, 2245 (1998)

    work page 1998

  52. [52]

    Gullion, D

    T. Gullion, D. B. Baker, and M. S. Conradi, New, com- pensated carr-purcell sequences, Journal of Magnetic Res- onance (1969)89, 479 (1990)

    work page 1969

  53. [53]

    Z.-Y. Wang, J. E. Lang, S. Schmitt, J. Lang, J. Casanova, L. McGuinness, T. S. Monteiro, F. Jelezko, and M. B. Plenio, Randomization of pulse phases for unambiguous and robust quantum sensing, Physical Review Letters 122, 200403 (2019)

    work page 2019

  54. [54]

    J. F. Haase, Z.-Y. Wang, J. Casanova, and M. B. Ple- nio, Pulse-phase control for spectral disambiguation in quantum sensing protocols, Physical Review A94, 032322 (2016)

    work page 2016

  55. [55]

    Z. Wang, J. Casanova, and M. B. Plenio, Enhancing the robustness of dynamical decoupling sequences with 19 correlated random phases, Symmetry12, 730 (2020)

    work page 2020

  56. [56]

    W. Dong, F. A. Calderon-Vargas, and S. E. Economou, Precisehigh-fidelityelectron–nuclearspinentanglinggates in nv centers via hybrid dynamical decoupling sequences, New Journal of Physics22, 073059 (2020)

    work page 2020

  57. [57]

    B. T. Torosov and N. V. Vitanov, Experimental demon- stration of composite pulses on ibm’s quantum computer, Physical Review Applied18, 034062 (2022)

    work page 2022

  58. [58]

    M. W. Doherty, N. B. Manson, P. Delaney, F. Jelezko, J. Wrachtrup, and L. C. Hollenberg, The nitrogen-vacancy colour centre in diamond, Physics Reports528, 1 (2013)

    work page 2013

  59. [59]

    Rondin, J.-P

    L. Rondin, J.-P. Tetienne, T. Hingant, J.-F. Roch, P. Maletinsky, and V. Jacques, Magnetometry with nitrogen-vacancy defects in diamond, Reports on Progress in Physics77, 056503 (2014)

    work page 2014

  60. [60]

    J. H. N. Loubser and J. A. van Wyk, Electron spin reso- nance in the study of diamond, Reports on Progress in Physics41, 1201 (1978)

    work page 1978

  61. [61]

    Felton, A

    S. Felton, A. M. Edmonds, M. E. Newton, P. M. Mar- tineau, D. Fisher, D. J. Twitchen, and J. M. Baker, Hy- perfine interaction in the ground state of the negatively charged nitrogen vacancy center in diamond, Physical Review B79, 075203 (2009)

    work page 2009

  62. [62]

    Z. Qiu, U. Vool, A. Hamo, and A. Yacoby, Nuclear spin assisted magnetic field angle sensing, npj Quantum Infor- mation7, 39 (2021)

    work page 2021

  63. [63]

    H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Ret- tner, K. Ohno, D. D. Awschalom, and D. Rugar, Multi- pulse double-quantum magnetometry with near-surface nitrogen-vacancy centers, Physical Review Letters113, 030803 (2014)

    work page 2014

  64. [64]

    Gruber, A

    A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wrachtrup, and C. von Borczyskowski, Scanning confo- cal optical microscopy and magnetic resonance on single defect centers, Science276, 2012 (1997)

    work page 2012

  65. [65]

    J. T. Oon, J. Tang, C. A. Hart, K. S. Olsson, M. J. Turner, J. M. Schloss, and R. L. Walsworth, Ramsey enve- lope modulation in nv diamond magnetometry, Physical Review B106, 054110 (2022)

    work page 2022

  66. [66]

    Campaioli, J

    F. Campaioli, J. H. Cole, and H. Hapuarachchi, Quan- tum master equations: Tips and tricks for quantum op- tics, quantum computing, and beyond, PRX Quantum5, 020202 (2024)

    work page 2024

  67. [67]

    Johansson, P

    J. Johansson, P. Nation, and F. Nori, Qutip: An open- source python framework for the dynamics of open quan- tum systems, Computer Physics Communications183, 1760 (2012)

    work page 2012

  68. [68]

    Johansson, P

    J. Johansson, P. Nation, and F. Nori, Qutip 2: A python framework for the dynamics of open quantum systems, Computer Physics Communications184, 1234 (2013)

    work page 2013

  69. [69]

    M. M. Delgado, L. Tsunaki, S. Michaelson, M. K. Kuntu- malla, J. P. Reithmaier, A. Hoffman, B. Naydenov, and C. Popov, Impact of annealing and nanostructuring on properties of nv centers created by different techniques, Diamond and Related Materials154, 112126 (2025)

    work page 2025

  70. [70]

    Mendoza Delgado, L

    M. Mendoza Delgado, L. Tsunaki, S. Michaelson, J. Thieme, M. K. Kuntumalla, S. Trofimov, J. P. Reith- maier, K. Singer, A. Hoffman, B. Naydenov,et al., Tech- nological steps for realization of diamond-based quantum tokens, inInternational Scientific Conference Manage- ment and Engineering(Springer, 2024) pp. 29–45

    work page 2024

  71. [71]

    D. M. Jackson, U. Haeusler, L. Zaporski, J. H. Bodey, N. Shofer, E. Clarke, M. Hugues, M. Atatüre, C. Le Gall, and D. A. Gangloff, Optimal purification of a spin ensem- ble by quantum-algorithmic feedback, Physical Review X 12, 031014 (2022)

    work page 2022

  72. [72]

    Schwartz, J

    I. Schwartz, J. Scheuer, B. Tratzmiller, S. Müller, Q. Chen, I. Dhand, Z.-Y. Wang, C. Müller, B. Nay- denov, F. Jelezko, and M. B. Plenio, Robust optical polarization of nuclear spin baths using hamilto- nian engineering of nitrogen-vacancy center quan- tum dynamics, Science Advances4, eaat8978 (2018), https://www.science.org/doi/pdf/10.1126/sciadv.aat8978

    work page doi:10.1126/sciadv.aat8978 2018

  73. [73]

    Brooks, Beyond quantum supremacy: the hunt for useful quantum computers, Nature574, 19 (2019)

    M. Brooks, Beyond quantum supremacy: the hunt for useful quantum computers, Nature574, 19 (2019)

    work page 2019

  74. [74]

    J. Cai, A. Retzker, F. Jelezko, and M. B. Plenio, A large- scale quantum simulator on a diamond surface at room temperature, Nature Physics9, 168 (2013)

    work page 2013

  75. [75]

    D. W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders, Efficient quantum algorithms for simulating sparse hamil- tonians, Communications in Mathematical Physics270, 359–371 (2006)

    work page 2006

  76. [76]

    Volkova, A

    K. Volkova, A. M. Kumar, K. Bolotin, and B. Naydenov, A glovebox-integrated confocal microscope for quantum sensing in inert atmosphere, Review of Scientific Instru- ments96, 013703 (2025)

    work page 2025

  77. [77]

    Balasubramanian, I

    G. Balasubramanian, I. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. R. Hemmer, A. Krueger,et al., Nanoscale imaging magnetometry with diamond spins under ambient conditions, Nature455, 648 (2008)

    work page 2008

  78. [78]

    J. M. Binder, A. Stark, N. Tomek, J. Scheuer, F. Frank, K. D. Jahnke, C. Müller, S. Schmitt, M. H. Metsch, T. Unden, T. Gehring, A. Huck, U. L. Andersen, L. J. Rogers, and F. Jelezko, Qudi: A modular python suite for experiment control and data processing, SoftwareX6, 85 (2017)

    work page 2017