The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.
Optimal Control of a Qubit Coupled to a Non-Markovian Environment
Open accessAbstract
A central challenge for implementing quantum computing in the solid state is decoupling the qubits from the intrinsic noise of the material. We investigate the implementation of quantum gates for a paradigmatic, non-Markovian model: a single-qubit coupled to a two-level system that is exposed to a heat bath. We systematically search for optimal pulses using a generalization of the novel open systems gradient ascent pulse engineering algorithm. Next to the known optimal bias point of this model, there are optimal pulses which lead to high-fidelity quantum operations for a wide range of decoherence parameters.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Furthermore, it is well-known that non-Markovian dynamics better preserve quantum information, as non-Markovianity induces a backflow of quantum information from the reservoir to the central spin [106,107,108,109,110,111,112,113,114,115,116].”
From Quantum Models of Consciousness from a Quantum Information Science Perspective (2025) · cites this paper as [111]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics
Wallraff, A., Schuster, D. I., Blais, A., Frunzio, L., Huang, R. S., Majer, J., Kumar, S., Girvin, S. M., & Schoelkopf, R. J. (2004) · Nature · doi:10.1038/nature02851 · Cited by 3,796
Clarke, J. L., & Wilhelm, F. K. (2008) · Nature · doi:10.1038/nature07128 · Cited by 2,129
Self-citationKhaneja, N., Reiss, T., Kehlet, C., Schulte-Herbrüggen, T., & Glaser, S. J. (2005) · Journal of Magnetic Resonance · doi:10.1016/j.jmr.2004.11.004 · Cited by 1,854
Self-citationLow-frequency fluctuations in solids: 1 f noise
Dutta, P., & Horn, P. M. (1981) · Reviews of Modern Physics · doi:10.1103/revmodphys.53.497 · Cited by 1,777
Manipulating the Quantum State of an Electrical Circuit
Vion, D., Aassime, A., Cottet, A., Joyez, P., Pothier, H., Urbina, C., Esteve, D., & Devoret, M. (2002) · Science · doi:10.1126/science.1069372 · Cited by 1,624
1 f noise and other slow, nonexponential kinetics in condensed matter
Weissman, M. B. (1988) · Reviews of Modern Physics · doi:10.1103/revmodphys.60.537 · Cited by 1,370
Coherent Manipulation of Electronic States in a Double Quantum Dot
Hayashi, T., Fujisawa, T., Cheong, H. D., Jeong, Y. H., & Hirayama, Y. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.226804 · Cited by 778
Decoherence in a superconducting quantum bit circuit
Ithier, G., Collin, E., Joyez, P., Meeson, P. J., Vion, D., Esteve, D., Chiarello, F., Shnirman, A., Makhlin, Y., Schriefl, J., et al. (2005) · Physical Review B · doi:10.1103/physrevb.72.134519 · Cited by 673
Decoherence in Josephson Phase Qubits from Junction Resonators
Simmonds, R. W., Lang, K., Hite, D. A., Nam, S. W., Pappas, D. P., & Martinis, J. M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.077003 · Cited by 452
Decoherence and 1/f Noise in Josephson Qubits
Paladino, E., Faoro, L., Falci, G., & Fazio, R. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.228304 · Cited by 324
Flagged first, then by citations
Cited by
Sorted by citations
Items 101–152 of 152
Riviello, G., Wu, R.-B., Sun, Q., & RABITZ, H. A. (2017) · Physical Review A · doi:10.1103/physreva.95.063418 · Cited by 10
Basic mechanisms in the laser control of non-Markovian dynamics
Puthumpally-Joseph, R., Mangaud, É., Chevet, V., Desouter-Lecomte, M., Sugny, D., & Atabek, O. (2018) · Physical Review A · doi:10.1103/physreva.97.033411 · Cited by 11
Brox, H., Bergli, J., & Galperin, Y. M. (2011) · Physical Review B · doi:10.1103/physrevb.84.245416 · Cited by 8
Active control of qubit–qubit entanglement evolution
Leandro, J. F., de Castro, A. S. M., Munhoz, P. P., & Semião, F. L. (2010) · Physics Letters A · doi:10.1016/j.physleta.2010.08.035 · Cited by 8
Recent advances in nuclear magnetic resonance quantum information processing
Riger, B. Y. B. E. C., Assante, G. I. P., Ark, D. A. P., & Aflamme, R. A. L. (2015) · Cited by 7
Sampling-Based Learning Control of Quantum Systems with Uncertainties
Dong, D., & Petersen, I. R. (2023) · Communications and control engineering/Communications and control engineering series · doi:10.1007/978-3-031-20245-2_4 · Cited by 7
High-fidelity two-qubit gates via dynamical decoupling of local 1/f noise at the optimal point
D’Arrigo, A., Falci, G., & Paladino, E. (2016) · Physical Review A · doi:10.1103/physreva.94.022303 · Cited by 6
Wang, P., Yang, W., & Liu, R. (2023) · Physical Review Applied · doi:10.1103/physrevapplied.19.054037 · Cited by 5
Manipulation of NOT gate in Non-Markovian open quantum systems
Liu, J., & Cong, S. (2014) · World Congress on Intelligent Control and Automation · doi:10.1109/wcica.2014.7052895 · Cited by 4
Dynamical decoupling of local transverse random telegraph noise in a two-qubit gate
D’Arrigo, A., Falci, G., & Paladino, E. (2015) · Physica Scripta · doi:10.1088/0031-8949/2015/t165/014037 · Cited by 4
Effect of an Ohmic environment on an optimally controlled flux-biased phase qubit
Poudel, A., & Vavilov, M. (2010) · Physical Review B · doi:10.1103/physrevb.82.144528 · Cited by 4
Saurav, K., & Lidar, D. A. (2025) · PRX Quantum · doi:10.1103/prxquantum.6.010335 · Cited by 3
Optimal control of two-qubit quantum gates in a non-Markovian open system
Chiu, T.-Y., & Lin, K.-T. (2016) · International Conference on Control and Automation · doi:10.1109/icca.2016.7505375 · Cited by 3
Ansel, Q., Sugny, D., & Bellomo, B. (2022) · Physical Review A · doi:10.1103/physreva.105.042618 · Cited by 3
Effect of decoherence for gate operations on a superconducting bosonic qubit
Mizuno, K., Takenaka, T., Mahboob, I., & Saito, S. (2023) · New Journal of Physics · doi:10.1088/1367-2630/acc02e · Cited by 3
Efficiency of optimal control for noisy spin qubits in diamond
Lim, H. M., Genov, G. T., Sailer, R., Fahrurrachman, A., Majidi, M. A., Jelezko, F., & Said, R. S. (2025) · Physical Review Applied · doi:10.1103/3hnz-bysr · Cited by 3
A Brief on Quantum Systems Theory and Control Engineering
Schulte‐Herbrüggen, T., Zeier, R., Keyl, M., & Dirr, G. (2016) · doi:10.1002/9783527805785.ch27 · Cited by 3
Self-citationKhromets, B., & Baugh, J. (2024) · Physical Review A · doi:10.1103/physreva.110.l040602 · Cited by 2
Revisiting quantum optimal control theory: New insights for the canonical solutions
Castro, K., Solá, I. R., & Omiste, J. J. (2025) · Journal of Mathematical Physics · doi:10.1063/5.0266880 · Cited by 2
Zhao, P. Z., Chen, T., Liu, S., & Gong, J. (2025) · Physical Review A · doi:10.1103/physreva.111.022621 · Cited by 3
Dann, R. (2025) · Quantum · doi:10.22331/q-2025-05-12-1740 · Cited by 3
Symmetry principles in quantum system theory of multi-qubit systems made simple
Schulte‐Herbrüggen, T., Sander, U., & Zeier, R. (2010) · International Symposium on Communications, Control and Signal Processing · doi:10.1109/isccsp.2010.5463440 · Cited by 2
Self-citationProtected two-qubit entangling gate with mechanical driven continuous dynamical decoupling
Sun, X.-J., Liu, W., Chen, H., Wang, C., Ma, H.-Z., & Li, H. (2022) · Communications in Theoretical Physics · doi:10.1088/1572-9494/ac69c5 · Cited by 2
Enhancing quantum exchanges between two oscillators
Ansel, Q., Chepelianskii, A. D., & Lages, J. (2023) · Physical Review A · doi:10.1103/physreva.107.042609 · Cited by 2
A Cryo-CMOS, Low-Power, Low-Noise, Phase-Locked Loop Design for Quantum Computers
Xin, K., Lai, M., Lv, F., Guo, K., Pang, Z., Xu, C., Zhang, G., Wang, W., & Li, M. (2023) · Electronics · doi:10.3390/electronics12153237 · Cited by 2
Isotropy and control of dissipative quantum dynamics
Dive, B., Burgarth, D. K., & Mintert, F. (2016) · Physical Review A · doi:10.1103/physreva.94.012119 · Cited by 2
Characteristics Analysis and State Transfer for non-Markovian Open Quantum SystemsPreprint
Cong, S., Long-Zhen, H. U., Yang, F., & Liu, J. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1301.5710 · Cited by 2
Dong, W., Wang, Y., & Khan, M. Q. (2025) · Physical Review A · doi:10.1103/physreva.111.062605 · Cited by 4
Novel systems and methods for quantum communication, quantum computation, and quantum simulation
Gorshkov, A. V. (2010) · Cited by 1
Lyapunov-based control for the operator preparation in Markovian open quantum systems
Wen, J., & Cong, S. (2014) · IEEE International Conference on Information and Automation (ICIA) · doi:10.1109/icinfa.2014.6932658 · Cited by 1
Coherent quantum feedback rejection of non-Markovian noises
Xue, S., Wu, R.-B., & Zhang, L. (2012) · World Congress on Intelligent Control and Automation · doi:10.1109/wcica.2012.6358242 · Cited by 1
Demonstration of open-quantum-system optimal control in dynamic nuclear polarization
Sheldon, S., & Cory, D. G. (2015) · Physical Review A · doi:10.1103/physreva.92.042102 · Cited by 1
Speed gradient control over qubit states
Borisenok, S., & Gogoleva, E. (2024) · Cybernetics and Physics · doi:10.35470/2226-4116-2024-13-3-193-196 · Cited by 1
SYMMETRY PRINCIPLES IN OPTIMAL QUANTUM CONTROL WITH APPLICATIONS TO CLOSED AND OPEN SYSTEMS
Schulte‐Herbrüggen, T. (2011) · Cited by 1
Self-citationNon-Markovianity and Indivisible Quantum dynamics of a Apin- S System
Hao, X., Xu, X., & Zhu, S. (2013) · Communications in Theoretical Physics · doi:10.1088/0253-6102/60/3/09 · Cited by 1
Quantum Sensing 1/f Noise via Pulsed Control of a Two-Qubit Gate
D’Arrigo, A., Falci, G., & Paladino, E. (2019) · Italian Quantum Information Science Conference (IQIS) · doi:10.3390/proceedings2019012029 · Cited by 1
Entanglement dynamics of two atoms coupling to a quantum cavity
MA, X. S., & Cheng, M.-T. (2020) · International Journal of Modern Physics B · doi:10.1142/s0217979220500757 · Cited by 1
Antiadiabatic control of Many Body Quantum SystemsPreprint
Doria, P., Calarco, T., & Montangero, S. (2010) · arXiv (Cornell University) · Cited by 1
Optimal control of non-Markovian dynamics in open quantum systems
Cui, W. (2014) · International Conference on Control and Automation · doi:10.1109/icca.2014.6870898
Controlling quantum systems in the presence of an environment
RABITZ, H. A., Brif, C., & Wu, R.-B. (2009) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2009.5400122
Developing and using optimal control methods for experimental robustness
Brebner, G. X. (2019) · Spiral (Imperial College London) · doi:10.25560/73896
Reimer, V., & Wegewijs, M. R. (2019) · SciPost Physics · doi:10.21468/scipost.report.1014
Reimer, V., & Wegewijs, M. R. (2019) · SciPost Physics · doi:10.21468/scipost.report.949
Non-Markovian quantum Hadamard gate preparation in a hybrid bath: A Lyapunov approach
Khari, S., Rahmani, Z., Mehri‐Dehnavi, H., & Daeichian, A. (2023) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2023.128749
Qubit dynamics driven by dipole field in thermal noise environment
Xiong, F., Chen, Y.-C., & Ao, P. (2023) · Acta Physica Sinica · doi:10.7498/aps.72.20230625
Probabilistic pathways: New frontiers in quantum ensemble control
Belfakir, A., & Herzallah, R. (2025) · Annals of Physics · doi:10.1016/j.aop.2025.170158
Geometric signature of non-Markovian dynamics
Luo, D.-W., & Yu, T. (2025) · Annals of Physics · doi:10.1016/j.aop.2025.170243 · Cited by 2
Optimal control of inhomogeneous spin ensembles : applications in NMR and quantum optics
Ansel, Q. (2018) · theses.fr (ABES) · doi:10.70675/490cca0az2d8fz47f7z98f9ze7cf31812e80
Abd‐Rabbou, M. Y., Aljuaydi, F., Jaradat, E. K., & Alghwali, A. S. A. (2026) · Quantum Information Processing · doi:10.1007/s11128-026-05348-1
Geometrical optimization approach to wave packet localization
Chang, B. Y., Veintemillas, D., Shin, S., & Solá, I. R. (2026) · The Journal of Chemical Physics · doi:10.1063/5.0357560
Decoherence dynamics of open qubit systemsPreprint
Tong, Q. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1007.4884
Metadata
- Authors
- Rebentrost, P., Serban, I., Schulte-Herbrüggen, T., & Wilhelm, F. K.
- Affiliations
- Harvard University (US)
- University of Waterloo (CA)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-03-02
- Volume
- 102
- Issue
- 9
- Pages
- 090401-090401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2089927214
- Cited by
- 152
- References
- 33
- Citations by year
- 2026: 2 · 2025: 9 · 2024: 5 · 2023: 10 · 2022: 5 · 2021: 5 · 2020: 4 · 2019: 9 · 2018: 3 · 2017: 10 · 2016: 12 · 2015: 10 · 2014: 18 · 2013: 6 · 2012: 9
- FWCI
- 15.84
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Quantum and electron transport phenomena
- Keywords
- optimal control, qubit decoherence, non-Markovian environments, two-level system, heat bath, gradient ascent pulse engineering, open quantum systems, quantum gate implementation, solid-state quantum computing, decoherence
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
