Leveraging quantum computing for dynamic analyses of logical networks in systems biology
Open accessAbstract
The dynamics of cellular mechanisms can be investigated through the analysis of networks. One of the simplest but most popular modeling strategies involves logic-based models. However, these models still face exponential growth in simulation complexity compared with a linear increase in nodes. We transfer this modeling approach to quantum computing and use the upcoming technique in the field to simulate the resulting networks. Leveraging logic modeling in quantum computing has many benefits, including complexity reduction and quantum algorithms for systems biology tasks. To showcase the applicability of our approach to systems biology tasks, we implemented a model of mammalian cortical development. Here, we applied a quantum algorithm to estimate the tendency of the model to reach particular stable conditions and further revert dynamics. Results from two actual quantum processing units and a noisy simulator are presented, and current technical challenges are discussed.
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
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?
Weidner et al. created a quantum circuit from a series of quantum gates using the development network of the mammalian cortical area to model gene regulatory networks.
“To perform modeling of gene regulatory networks, Weidner etal. have created a quantum circuit from a series of quantum gates using the development network of the mammalian cortical area.”
From Quantum Computing in the Next-Generation Computational Biology Landscape: From Protein Folding to Molecular Dynamics (2024) · cites this paper as [83]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
A fast quantum mechanical algorithm for database search
Grover, L. K. (1996) · Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 · doi:10.1145/237814.237866 · Cited by 8,830 · see citing works
Quantum Computation and Quantum Information: 10th Anniversary Edition
Nielsen, M. A., & Chuang, I. L. (2012) · doi:10.1017/cbo9780511976667 · Cited by 8,436 · see citing works
Power-Law Distributions in Empirical Data
Clauset, A., Shalizi, C. R., & Newman, M. E. J. (2009) · SIAM Review · doi:10.1137/070710111 · Cited by 8,019 · see citing works
Metabolic stability and epigenesis in randomly constructed genetic nets
Kauffman, S. A. (1969) · Journal of Theoretical Biology · doi:10.1016/0022-5193(69)90015-0 · Cited by 4,871 · see citing works
Scheme for reducing decoherence in quantum computer memory
Shor, P. W. (1995) · Physical Review A · doi:10.1103/physreva.52.r2493 · Cited by 4,479 · see citing works
Szklarczyk, D., Franceschini, A., Kuhn, M., Simonovic, M., Roth, A. C., Mínguez, P., Doerks, T., Stark, M., Muller, J., Bork, P., et al. (2010) · Nucleic Acids Research · doi:10.1093/nar/gkq973 · Cited by 3,469 · see citing works
Dynamical Decoupling of Open Quantum Systems
Viola, L., Knill, E., & Lloyd, S. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.2417 · Cited by 1,808 · see citing works
Quantum amplitude amplification and estimation
Brassard, G., Høyer, P., Mosca, M., & Tapp, A. (2002) · Contemporary Mathematics · doi:10.1090/conm/305/05215 · Cited by 1,680 · see citing works
Scale-free networks in cell biology
Albert, R. (2005) · Journal of Cell Science · doi:10.1242/jcs.02714 · Cited by 1,200 · see citing works
The End of Moore's Law: A New Beginning for Information Technology
Theis, T. N., & Wong, H. ‐. P. (2017) · Computing in Science & Engineering · doi:10.1109/mcse.2017.29 · Cited by 1,001 · see citing works
(1996) · Cited by 824 · see citing works
Cell Fates as High-Dimensional Attractor States of a Complex Gene Regulatory Network
Huang, S., Eichler, G., Bar-Yam, Y., & Ingber, D. E. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.128701 · Cited by 775 · see citing works
Origins of Order in Evolution: Self-Organization and Selection
Kauffman, S. A. (1992) · Springer eBooks · doi:10.1007/978-94-015-8054-0_8 · Cited by 650 · see citing works
Dynamical analysis of a generic Boolean model for the control of the mammalian cell cycle
Fauré, A., Naldi, A., Chaouiya, C., & Thieffry, D. (2006) · Bioinformatics · doi:10.1093/bioinformatics/btl210 · Cited by 643 · see citing works
Area Patterning of the Mammalian Cortex
O’Leary, D. D. M., Chou, S., & Sahara, S. (2007) · Neuron · doi:10.1016/j.neuron.2007.10.010 · Cited by 574 · see citing works
Kauffman, S. A., & Johnsen, S. (1991) · Journal of Theoretical Biology · doi:10.1016/s0022-5193(05)80094-3 · Cited by 540 · see citing works
Benchmarking an 11-qubit quantum computer
Wright, K., Beck, K. M., Debnath, S., Amini, J., Nam, Y., Grzesiak, N., Chen, J.-S., Pisenti, N. C., Chmielewski, M., Collins, C., et al. (2019) · Nature Communications · doi:10.1038/s41467-019-13534-2 · Cited by 521 · see citing works
Fitting Heavy Tailed Distributions: The poweRlaw Package
Gillespie, C. S. (2015) · Journal of Statistical Software · doi:10.18637/jss.v064.i02 · Cited by 483 · see citing works
Grover algorithm with zero theoretical failure rate
Long, G. (2001) · Physical Review A · doi:10.1103/physreva.64.022307 · Cited by 457 · see citing works
BoolNet—an R package for generation, reconstruction and analysis of Boolean networks
Müssel, C., Hopfensitz, M., & Kestler, H. A. (2010) · Bioinformatics · doi:10.1093/bioinformatics/btq124 · Cited by 435 · see citing works
Self-citationBoolean dynamics of networks with scale-free topology
Aldana, M. (2003) · Physica D Nonlinear Phenomena · doi:10.1016/s0167-2789(03)00174-x · Cited by 402 · see citing works
Less Is More in Modeling Large Genetic Networks
Bornholdt, S. (2005) · Science · doi:10.1126/science.1119959 · Cited by 328 · see citing works
Brassard, G., Høyer, P., & Tapp, A. (1998) · Lecture notes in computer science · doi:10.1007/bfb0055105 · Cited by 322 · see citing works
Single ion qubit with estimated coherence time exceeding one hour
Wang, P., Luan, C.-Y., Qiao, M., Um, M., Zhang, J., Wang, Y., Yuan, X., Gu, M., Zhang, J., & Kim, K. (2021) · Nature Communications · doi:10.1038/s41467-020-20330-w · Cited by 321 · see citing works
Scalable Mitigation of Measurement Errors on Quantum Computers
Nation, P. D., Kang, H., Sundaresan, N., & Gambetta, J. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.040326 · Cited by 275 · see citing works
The Cell Collective: Toward an open and collaborative approach to systems biology
Helikar, T., Kowal, B., McClenathan, S., Bruckner, M. A., Rowley, T. W., Madrahimov, A., Wicks, B., Shrestha, M., Limbu, K., & Rogers, J. A. (2012) · BMC Systems Biology · doi:10.1186/1752-0509-6-96 · Cited by 252 · see citing works
Amplitude estimation without phase estimation
Suzuki, Y., Uno, S., Raymond, R., Tanaka, T., Onodera, T., & Yamamoto, N. (2020) · Quantum Information Processing · doi:10.1007/s11128-019-2565-2 · Cited by 249 · see citing works
Concepts in Boolean network modeling: What do they all mean?
Schwab, J. D., Werle, S. D., Ikonomi, N., Kühl, M., & Kestler, H. A. (2020) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2020.03.001 · Cited by 249 · see citing works
Self-citationThe prospects of quantum computing in computational molecular biology
Outeiral, C., Strahm, M., Shi, J., Morris, G. M., Benjamin, S. C., & Deane, C. M. (2021) · WIREs Computational Molecular Science · doi:10.1002/wcms.1481 · Cited by 232 · see citing works
Fixed-Point Quantum Search with an Optimal Number of Queries
Yoder, T. J., Low, G. H., & Chuang, I. L. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.210501 · Cited by 223 · see citing works
Ambainis, A. (2004) · ACM SIGACT News · doi:10.1145/992287.992296 · Cited by 195 · see citing works
Modeling formalisms in Systems Biology
Machado, D., Costa, R. S., Rocha, M., Ferreira, E. C., Tidor, B., & Rocha, I. (2011) · AMB Express · doi:10.1186/2191-0855-1-45 · Cited by 189 · see citing works
A SAT-Based Algorithm for Finding Attractors in Synchronous Boolean Networks
Dubrova, E., & Teslenko, M. (2011) · IEEE Transactions on Computational Biology and Bioinformatics · doi:10.1109/tcbb.2010.20 · Cited by 186 · see citing works
Application-Oriented Performance Benchmarks for Quantum Computing
Lubinski, T., Johri, S., Varosy, P., Coleman, J., Zhao, L., Necaise, J., Baldwin, C. H., Mayer, K., & Proctor, T. (2021) · arXiv · doi:10.48550/arxiv.2110.03137 · Cited by 159
The IBM Q experience and QISKit open-source quantum computing software
Cross, A. W. (2018) · Bulletin of the American Physical Society · Cited by 139 · see citing works
Quantum Approximate Counting, Simplified
Aaronson, S., & Rall, P. (2019) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611976014.5 · Cited by 128 · see citing works
Davidich, M., & Bornholdt, S. (2008) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2008.07.020 · Cited by 123 · see citing works
A Boolean Model of the Gene Regulatory Network Underlying Mammalian Cortical Area Development
Giacomantonio, C. E., & Goodhill, G. J. (2010) · PLoS Computational Biology · doi:10.1371/journal.pcbi.1000936 · Cited by 105 · see citing works
Reconciling qualitative, abstract, and scalable modeling of biological networks
Paulevé, L., Kolčák, J., Chatain, T., & Haar, S. (2020) · Nature Communications · doi:10.1038/s41467-020-18112-5 · Cited by 103 · see citing works
Quantum computing's potential for drug discovery: Early stage industry dynamics
Zinner, M., Dahlhausen, F., Boehme, P., Ehlers, J. P., Bieske, L., & Fehring, L. (2021) · Drug Discovery Today · doi:10.1016/j.drudis.2021.06.003 · Cited by 98 · see citing works
Generalized Grover Search Algorithm for Arbitrary Initial Amplitude Distribution
Biron, D., Biham, O., Biham, E., Grassl, M., & Lidar, D. A. (1999) · Lecture notes in computer science · doi:10.1007/3-540-49208-9_10 · Cited by 88 · see citing works
Rozum, J. C., Zañudo, J. G. T., Gan, X., Deritei, D., & Albert, R. (2021) · Science Advances · doi:10.1126/sciadv.abf8124 · Cited by 71 · see citing works
Guiding the self-organization of random Boolean networks
Gershenson, C. (2012) · Theory in Biosciences · doi:10.1007/s12064-011-0144-x · Cited by 68 · see citing works
Fault-Tolerant Operation of a Quantum Error-Correction Code
Egan, L., Debroy, D. M., Noel, C., Risinger, A., Zhu, D., Biswas, D., Newman, M., Li, M., Brown, K. R., Cetina, M., et al. (2020) · arXiv · doi:10.48550/arxiv.2009.11482 · Cited by 65 · see citing works
Genome assembly using quantum and quantum-inspired annealing
Boev, A. S., Rakitko, A. S., Usmanov, S. R., Kobzeva, A. N., Popov, I. V., Ilinsky, V. V., Kiktenko, E. O., & Fedorov, A. K. (2021) · Scientific Reports · doi:10.1038/s41598-021-88321-5 · Cited by 63 · see citing works
Inferring Boolean network structure via correlation
Maucher, M., Kracher, B., Kühl, M., & Kestler, H. A. (2011) · Bioinformatics · doi:10.1093/bioinformatics/btr166 · Cited by 47 · see citing works
Self-citationGenerative quantum learning of joint probability distribution functions
Zhu, E. Y., Johri, S., Bacon, D., Esencan, M., Kim, J., Muir, M., Murgai, N., Nguyen, J., Pisenti, N. C., Schouela, A., et al. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.043092 · Cited by 43 · see citing works
Quantum Speedup for Protein Structure Prediction
Wong, R., & Chang, W.-L. (2021) · IEEE Transactions on NanoBioscience · doi:10.1109/tnb.2021.3065051 · Cited by 35 · see citing works
Schwab, J. D., Ikonomi, N., Werle, S. D., Weidner, F. M., Geiger, H., & Kestler, H. A. (2021) · Computational and Structural Biotechnology Journal · doi:10.1016/j.csbj.2021.09.012 · Cited by 34 · see citing works
Self-citationBiology begins to tangle with quantum computing
Marx, V. (2021) · Nature Methods · doi:10.1038/s41592-021-01199-z · Cited by 32 · see citing works
Ikonomi, N., Werle, S. D., Schwab, J. D., & Kestler, H. A. (2020) · Frontiers in Physiology · doi:10.3389/fphys.2020.00848 · Cited by 27 · see citing works
Self-citationPredicting Variabilities in Cardiac Gene Expression with a Boolean Network Incorporating Uncertainty
Grieb, M., Burkovski, A., Sträng, E., Kraus, J. M., Groß, A., Palm, G., Kühl, M., & Kestler, H. A. (2015) · PLoS ONE · doi:10.1371/journal.pone.0131832 · Cited by 25 · see citing works
Self-citationUnraveling the Molecular Tumor-Promoting Regulation of Cofilin-1 in Pancreatic Cancer
Werle, S. D., Schwab, J. D., Tatura, M., Kirchhoff, S., Szekely, R., Diels, R., Ikonomi, N., Sipos, B., Sperveslage, J., Gress, T. M., et al. (2021) · Cancers · doi:10.3390/cancers13040725 · Cited by 21 · see citing works
Self-citationStability of Signaling Pathways during Aging—A Boolean Network Approach
Schwab, J. D., Siegle, L., Werle, S. D., Kühl, M., & Kestler, H. A. (2017) · Biology · doi:10.3390/biology6040046 · Cited by 19 · see citing works
Self-citationMeasurement-induced Boolean dynamics and controllability for closed quantum networks
Qi, H., Mu, B., Petersen, I. R., & Shi, G. (2020) · Automatica · doi:10.1016/j.automatica.2020.108816 · Cited by 14 · see citing works
On quantum versions of record-breaking algorithms for SAT
Dantsin, E. Y., Крейнович, В., & Wolpert, A. (2005) · ACM SIGACT News · doi:10.1145/1107523.1107524 · Cited by 12 · see citing works
Inferring Boolean functions via higher-order correlations
Maucher, M., Kracht, D., Schober, S., Bossert, M., & Kestler, H. A. (2012) · Computational Statistics · doi:10.1007/s00180-012-0385-2 · Cited by 11 · see citing works
Self-citationRandom Networks with Quantum Boolean Functions
Franco, M., Zapata, O., Rosenblueth, D. A., & Gershenson, C. (2021) · Mathematics · doi:10.3390/math9080792 · Cited by 7 · see citing works
Measurement-Induced Boolean Dynamics for Open Quantum Networks
Qi, H., Mu, B., Petersen, I. R., & Shi, G. (2022) · IEEE Transactions on Control of Network Systems · doi:10.1109/tcns.2022.3188480 · Cited by 5 · see citing works
Tutorial - Petri Nets in Systems Biology. Technical Report
Blätke, M. A., Heiner, M., & Marwan, W. (2011) · doi:10.13140/2.1.3796.6402 · Cited by 2 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- [50]Rieffel E.G. Polak W.H. Quantum Computing: A Gentle Introduction 2011 MIT Press
Cited by
Sorted by citations
Pal, S., Bhattacharya, M., Lee, S.-S., & Chakraborty, C. (2024) · Molecular Biotechnology · doi:10.1007/s12033-023-00765-4 · Cited by 84 · see citing works
A primer for quantum computing and its applications to healthcare and biomedical research
Durant, T. J. S., Knight, E., Nelson, B. G., Dudgeon, S. N., Lee, S. J., Walliman, D., Young, H. P., Lucila Ohno-machado, A., & Schulz, W. L. (2024) · Journal of the American Medical Informatics Association · doi:10.1093/jamia/ocae149 · Cited by 41 · see citing works
Mokhtari, M., Khoshbakht, S., Ziyaei, K., Akbari, M. E., & Moravveji, S. S. (2024) · Briefings in Bioinformatics · doi:10.1093/bib/bbae074 · Cited by 24 · see citing works
The Future of Drug Development with Quantum Computing
Bonde, B. K., Patil, P., & Choubey, B. (2023) · Methods in molecular biology · doi:10.1007/978-1-0716-3449-3_7 · Cited by 19 · see citing works
Wang, X., He, J., Ding, G., Tang, Y., & Wang, Q. (2026) · Journal of Multidisciplinary Healthcare · doi:10.2147/jmdh.s572089 · Cited by 11 · see citing works
Weidner, F. M., Rossini, M., Ankerhold, J., & Kestler, H. A. (2023) · STAR Protocols · doi:10.1016/j.xpro.2023.102438 · Cited by 4 · see citing works
Self-citationIntegrating Quantum Computing in Bioinformatics and Biomedical Research
Selladurai, P., Dahiya, R., Kandasamy, B., & Radhakrishnan, V. (2024) · Wiley eBooks · doi:10.1002/9781394270910.ch15 · Cited by 4 · see citing works
Quantum bioinformatics: a systematic review of methods, trends, and challenges
Khalaj, M., Rayan, S., & Jin, L. (2026) · Briefings in Bioinformatics · doi:10.1093/bib/bbag383 · Cited by 2 · see citing works
A novel quantum algorithm for efficient attractor search in gene regulatory networks
Rossini, M., Weidner, F. M., Ankerhold, J., & Kestler, H. A. (2025) · Patterns · doi:10.1016/j.patter.2025.101295 · Cited by 2 · see citing works
Self-citationZhao, L., Goings, J. J., Aboumrad, W., Arrasmith, A., Calderín, L., Churchill, S., Gabay, D., Harvey-Brown, T., Hiles, M. L., Kaja, M., et al. (2026) · Physical Review Research · doi:10.1103/n1tf-8kr7 · Cited by 7 · see citing works
Brisebois, A. E., Broderick, J., Khatooni, Z., Wilson, H. L., Rayan, S., & Broderick, G. (2025) · IEEE International Conference on Quantum Computing and Engineering (QCE) · doi:10.1109/qce65121.2025.00247 · Cited by 1 · see citing works
AI-driven multiscale virtual plant cell modeling: from molecular mechanisms to tissue functions
Liu, Z., & Sun, X.-W. (2026) · Planta · doi:10.1007/s00425-026-04948-6
Information-theoretic and physical constraints on advanced neural signal decoding
Zhang, E., & Ahmed, S. I. (2026) · Frontiers in Systems Neuroscience · doi:10.3389/fnsys.2026.1786729 · Cited by 1 · see citing works
Optimized Reversible Logic Multiplexer Designs for Energy-Efficient Nanoscale Computing
Joe, C. V., Byeon, H., Singh, A. K., Kumar, C. R., Bunglowala, A., & Tonk, A. (2023) · Indonesian Journal of Electrical Engineering and Informatics (IJEEI) · doi:10.52549/ijeei.v11i3.4367
Exact Optimal Linearizing Control for a Single Qubit
Bonilla–Licea, M., & Bonilla, M. (2024) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc56724.2024.10886843
Hybrid Quantum Model for Brain Tumor Classification
Ramos-Villena, S., Atencio-Torres, C. E., & Ochoa-Luna, J. E. (2025) · Communications in computer and information science · doi:10.1007/978-3-031-91428-7_26
155Chapter 6 First Steps Toward Graph-Based and Quantum Tools for Omics Expression Analysis
Bertel, L. G. A., Vivas-Reyes, R., & Ganguly, S. (2025) · De Gruyter eBooks · doi:10.1515/9783111264349-006
Sushmitha, J., Raju, N. V. D. S. S. V. P., Geethanjali, M., Shivaji, G. B., Rajani, B., & Chandana, B. (2025) · International Conference on Metaverse and Current Trends in Computing (ICMCTC) · doi:10.1109/icmctc62214.2025.11196710
Frontier Technologies: AI, Synthetic Biology, and Omics Convergence
Sarsaiya, S., Jain, A., & Gong, Q. (2026) · CABI eBooks · doi:10.1079/9781836994206.0010
The Role of Quantum Computing and AI in Enhancing Clinical Trial Matching Efficiency
Arora, C., Sandhu, R., Prabha, C., Nandan, D., Parihar, S., & Mahajan, A. (2026) · Recent Patents on Engineering · doi:10.2174/0118722121419472251208190841
A Comprehensive Survey on Quantum Learning and Quantum Machine Learning
Abiramasundari, S., & Umamaheswari, P. (2026) · doi:10.1002/9781394347070.ch15
- Authors
- Weidner, F. M., Schwab, J. D., Wölk, S., Rupprecht, F., Ikonomi, N., Werle, S. D., Hoffmann, S., Kühl, M., & Kestler, H. A.
- Affiliations
- Universität Ulm (DE)
- Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR) (DE)
- Leibniz Institute on Aging - Fritz Lipmann Institute (FLI) (DE)
- Corresponding author
- Kestler, Hans A.
- ORCID
- Venue
- Patterns
- Publisher
- Elsevier BV
- Published
- 2023-03
- Volume
- 4
- Issue
- 3
- Pages
- 100705
- ISSN
- 2666-3899 (ISSN-L)
- PMC
- PMC10028428
- OpenAlex
- W4323835315
- Cited by
- 21
- References
- 58
- Citations by year
- 2026: 8 · 2025: 5 · 2024: 4 · 2023: 4
- FWCI
- 1.98
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Patterns (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- elib (German Aerospace Center) (submittedVersion)
- Informationszentrum Lebenswissenschaften (ZB MED) (submittedVersion, cc-by)
- Funders
- Bundesministerium für Bildung und Forschung (01ZX1708C)
- International Business Machines Corporation
- BMBF Berlin
- Deutsche Forschungsgemeinschaft (217328187, 450627322, 288342734, SFB 1074, SFB 1506)
- Ministerium fur Wirtschaft Arbeit und Wohnungsbau Baden-Wurttemberg
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Gene Regulatory Network Analysis
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › DNA and Biological Computing
- Keywords
- quantum computing, Boolean networks, systems biology, quantum algorithms, stable states, computational complexity reduction
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