Trends, Gaps, and Research Trajectories in Quantum Computing: A Comprehensive Systematic and Bibliometric Review
DOI:
https://doi.org/10.11594/Keywords:
research landscape, trends, gaps, trajectories, quantum computing, systematic bibliometric reviewAbstract
This paper presents a comprehensive systematic and bibliometric review of the rapidly expanding literature on quantum computing. The study addresses six research questions concerning prominent themes, temporal evolution, types of key findings, frequently reported research gaps, higher-order gap typologies, and future research directions. Utilizing a researcher-curated database, the final corpus comprises 153 studies compiled from non-Scopus, Scopus and Web of Science. The results demonstrate that quantum hardware and architecture, algorithms, and theoretical foundations dominate the current literature. Furthermore, publication output has risen significantly between 2018 and 2025. Among the reported findings, algorithmic innovations, performance claims, and hardware advancements are the most common. Despite this progress, the field faces substantial barriers; technical, scalability, fault-tolerance, and methodological-standardization gaps are the most frequently reported. Based on these identified gaps, eight actionable future research directions emerge to guide the scientific community. Ultimately, this review concludes that quantum computing is actively transitioning from a purely physics-driven domain into a multidisciplinary, engineering- and application-oriented science. However, its continued advancement is presently constrained by a hardware-methodology-application triad, wherein reporting practices often outpace empirical verification and standardized benchmarking.
Downloads
References
Aaronson, S. (2013). Quantum computing since Democritus. Cambridge University Press.
Aaronson, S. (2015). Read the fine print. Na-ture Physics, 11(4), 291-293. https://doi.org/10.1038/nphys3272
Abbas, A., Sutter, D., Zoufal, C., Lucchi, A., Figalli, A., & Woerner, S. (2021). The power of quantum neural networks. Na-ture Computational Science, 1(6), 403–409. https://doi.org/10.1038/s43588-021-00084-1
Acharya, R., Aleiner, I., Allen, R., Andersen, T. I., Ansmann, M., Arute, F., ... & Google Quantum AI. (2023). Suppressing quan-tum errors by scaling a surface code logi-cal qubit. Nature, 614(7949), 676–681. https://doi.org/10.1038/s41586-022-05434-1
Aharonov, D., & Ben-Or, M. (1997). Fault-tolerant quantum computation with con-stant error. Proceedings of the 29th An-nual ACM Symposium on Theory of Com-puting, 176–188. https://doi.org/10.1145/258533.258579
Aria, M., & Cuccurullo, C. (2017). Bibliometrix: An R-tool for comprehensive science mapping analysis. Journal of Informetrics, 11(4), 959–975. https://doi.org/10.1016/j.joi.2017.08.007
Arute, F., Arya, K., Babbush, R., Bacon, D., Bar-din, J. C., Barends, R., ... & Martinis, J. M. (2019). Quantum supremacy using a pro-grammable superconducting processor. Nature, 574(7779), 505–510. https://doi.org/10.1038/s41586-019-1666-5
Babbush, R., Berry, D. W., McClean, J. R., & Ne-ven, H. (2018). Quantum simulation of chemistry with sublinear scaling in basis size. npj Quantum Information, 5(1), 92. https://doi.org/10.1038/s41534-019-0199-y
Bennett, C. H., & Brassard, G. (1984). Quantum cryptography: Public key distribution and coin tossing. Proceedings of the IEEE In-ternational Conference on Computers, Systems and Signal Processing, 175–179.
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993). Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Physical Review Let-ters, 70(13), 1895–1899. https://doi.org/10.1103/PhysRevLett.70.1895
Bernal, J., López, A., & Martínez, C. (2023). Bib-liometric analysis of quantum computing research: Trends, authors, and global contributions. Quantum Science and Technology, 8(2), 025017. https://doi.org/10.1088/2058-9565/acb0e5
Bernstein, D. J., & Lange, T. (2017). Post-quantum cryptography. Nature, 549(7671), 188–194. https://doi.org/10.1038/nature23461
Bernstein, E., & Vazirani, U. (1993). Quantum complexity theory. Proceedings of the 25th Annual ACM Symposium on Theory of Computing, 11–20. https://doi.org/10.1145/167088.167097
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., ... & Aspuru-Guzik, A. (2022). Noisy interme-diate-scale quantum algorithms. Reviews of Modern Physics, 94(1), 015004.https://doi.org/10.1103/RevModPhys.94.015004
Biamonte, J., Wittek, P., Pancotti, N., Reben-trost, P., Wiebe, N., & Lloyd, S. (2017). Quantum machine learning. Nature, 549(7671), 195–202. https://doi.org/10.1038/nature23474
Blatt, R., & Wineland, D. (2008). Entangled states of trapped atomic ions. Nature, 453(7198), 1008–1015. https://doi.org/10.1038/nature07125
Boaron, A., Boso, G., Rusca, D., Vulliez, C., Autebert, C., Caloz, M., ... & Zbinden, H. (2018). Secure quantum key distribution over 421 km of optical fiber. Physical Re-view Letters, 121(19), 190502. https://doi.org/10.1103/PhysRevLett.121.190502
Bouwmeester, D., Pan, J. W., Mattle, K., Eibl, M., Weinfurter, H., & Zeilinger, A. (1997). Experimental quantum teleportation. Na-ture, 390(6660), 575–579. https://doi.org/10.1038/37539
Bravyi, S., Gosset, D., & König, R. (2018). Quan-tum advantage with shallow circuits. Sci-ence, 362(6412), 308–311. https://doi.org/10.1126/science.aar3106
Briegel, H. J., Dür, W., Cirac, J. I., & Zoller, P. (1998). Quantum repeaters: The role of imperfect local operations in quantum communication. Physical Review Letters, 81(26), 5932–5935. https://doi.org/10.1103/PhysRevLett.81.5932
Bruzewicz, C. D., Chiaverini, J., McConnell, R., & Sage, J. M. (2019). Trapped-ion quan-tum computing: Progress and challenges. Applied Physics Reviews, 6(2), 021314. https://doi.org/10.1063/1.5088164
Cade, C., Mineh, L., Montanaro, A., & Stanisic, S. (2020). Strategies for solving the Fermi-Hubbard model on near-term quantum computers. Physical Review B, 102(23), 235122. https://doi.org/10.1103/PhysRevB.102.235122
Campbell, E. T., Terhal, B. M., & Vuillot, C. (2017). Roads towards fault-tolerant uni-versal quantum computation. Nature, 549(7671), 172–179. https://doi.org/10.1038/nature23460
Cerezo, M., Arrasmith, A., Babbush, R., Benja-min, S. C., Endo, S., Fujii, K., ... & Coles, P. J. (2021). Variational quantum algo-rithms. Nature Reviews Physics, 3(9), 625–644. https://doi.org/10.1038/s42254-021-00348-9
Cerezo, M., Verdon, G., Huang, H. Y., Cincio, L., & Coles, P. J. (2022). Challenges and op-portunities of near-term quantum compu-ting systems. Science, 377(6606), eabk3333. https://doi.org/10.1126/science.abk3333
Cirac, J. I., & Zoller, P. (1995). Quantum com-putations with cold trapped ions. Physical Review Letters, 74(20), 4091–4094. https://doi.org/10.1103/PhysRevLett.74.4091
Deutsch, D. (1985). Quantum theory, the Church-Turing principle and the univer-sal quantum computer. Proceedings of the Royal Society of London A, 400(1818), 97–117. https://doi.org/10.1098/rspa.1985.0070
Deutsch, D., & Jozsa, R. (1992). Rapid solution of problems by quantum computation. Proceedings of the Royal Society of Lon-don A, 439(1907), 553–558. https://doi.org/10.1098/rspa.1992.0167
Devitt, S. J., Munro, W. J., & Nemoto, K. (2013). Quantum error correction for beginners. Reports on Progress in Physics, 76(7), 076001. https://doi.org/10.1088/0034-4885/76/7/076001
DiVincenzo, D. P. (2000). The physical imple-mentation of quantum computation. Fortschritte der Physik, 48(9–11), 771–783. https://doi.org/10.1002/1521-3978
Doherty, M. W., Manson, N. B., Delaney, P., Jelezko, F., Wrachtrup, J., & Hollenberg, L. C. (2013). The nitrogen-vacancy colour centre in diamond. Physics Reports, 528(1), 1–45. https://doi.org/10.1016/j.physrep.2013.02.001
Donthu, N., Kumar, S., Mukherjee, D., Pandey, N., & Lim, W. M. (2021). How to conduct a bibliometric analysis: An overview and guidelines. Journal of Business Research, 133, 285–296. https://doi.org/10.1016/j.jbusres.2021.04.070
Ekert, A. K. (1991). Quantum cryptography based on Bell's theorem. Physical Review Letters, 67(6), 661–663. https://doi.org/10.1103/PhysRevLett.67.661
Farhi, E., Goldstone, J., & Gutmann, S. (2014). A quantum approximate optimization algo-rithm. arXiv preprint arXiv:1411.4028. https://doi.org/10.48550/arXiv.1411.4028
Feynman, R. P. (1982). Simulating physics with computers. International Journal of The-oretical Physics, 21(6–7), 467–488. https://doi.org/10.1007/BF02650179
Fowler, A. G., Martinis, J. M., Whiteside, A. C., & Hollenberg, L. C. L. (2012). Surface codes: Towards practical large-scale quantum computation. Physical Review A, 86(3), 032324. https://doi.org/10.1103/PhysRevA.86.032324
Freedman, M., Kitaev, A., Larsen, M., & Wang, Z. (2003). Topological quantum computa-tion. Bulletin of the American Mathemati-cal Society, 40(1), 31–38. https://doi.org/10.1090/S0273-0979-02-00964-3
Gottesman, D. (1997). Stabilizer codes and quantum error correction [Doctoral dis-sertation, California Institute of Technol-ogy]. CaltechTHESIS. https://thesis.library.caltech.edu/2242/
Grover, L. K. (1996). A fast quantum mechani-cal algorithm for database search. Pro-ceedings of the 28th Annual ACM Sympo-sium on Theory of Computing, 212–219. https://doi.org/10.1145/237814.237866
Harrow, A. W., Hassidim, A., & Lloyd, S. (2009). Quantum algorithm for linear systems of equations. Physical Review Letters, 103(15), 150502 https://doi.org/10.1103/PhysRevLett.103.150502
Havlicek, V., Córcoles, A. D., Temme, K., Har-row, A. W., Kandala, A., Chow, J. M., & Gambetta,
J. M. (2019). Supervised learning with quantum-enhanced feature spaces. Na-ture, 567(7747), 209–212. https://doi.org/10.1038/s41586-019-0980-2
IBM Quantum. (2022). The IBM quantum de-velopment roadmap. IBM Research. https://research.ibm.com/blog/ibm-quantum-roadmap
Kimble, H. J. (2008). The quantum in-ternet. Nature, 453(7198), 1023–1030. https://doi.org/10.1038/nature07127
Kitaev, A. Y. (2003). Fault-tolerant quantum computation by anyons. Annals of Phys-ics, 303(1), 2–30. https://doi.org/10.1016/S0003-4916(02)00018-0
Knill, E., Laflamme, R., & Zurek, W. H. (1998). Resilient quantum computation. Science, 279(5349), 342–345. https://doi.org/10.1126/science.279.5349.342
Kok, P., Munro, W. J., Nemoto, K., Ralph, T. C., Dowling, J. P., & Milburn, G. J. (2007). Linear optical quantum computing with photonic qubits. Reviews of Modern Physics, 79(1), 135–174. https://doi.org/10.1103/RevModPhys.79.135
Krantz, P., Kjaergaard, M., Yan, F., Orlando, T. P., Gustavsson, S., & Oliver, W. D. (2019). A quantum engineer's guide to supercon-ducting qubits. Applied Physics Reviews, 6(2), 021318. https://doi.org/10.1063/1.5089550
Ladd, T. D., Jelezko, F., Laflamme, R., Nakamu-ra, Y., Monroe, C., & O'Brien, J. L. (2010).
Quantum computers. Nature, 464(7285), 45–53. https://doi.org/10.1038/nature08812
Liao, S. K., Cai, W. Q., Liu, W. Y., Zhang, L., Li, Y., Ren, J. G., ... & Pan, J. W. (2017). Satel-lite-to-ground quantum key distribution. Nature, 549(7670), 43–47. https://doi.org/10.1038/nature23655
Lloyd, S., Mohseni, M., & Rebentrost, P. (2013). Quantum algorithms for supervised and unsupervised machine learning. arXiv preprint arXiv:1307.0411. https://doi.org/10.48550/arXiv.1307.0411
Loss, D., & DiVincenzo, D. P. (1998). Quantum computation with quantum dots. Physical Review A, 57(1), 120–126. https://doi.org/10.1103/PhysRevA.57.120
Madsen, L. S., Laudenbach, F., Askarani, M. F., Rortais, F., Vincent, T., Bulmer, J. F., ... & Andersen, U. L. (2022). Quantum compu-tational advantage with a programmable photonic processor. Nature, 606(7912), 75–81. https://doi.org/10.1038/s41586-022-04725-x
Montanaro, A. (2016). Quantum algorithms: An overview. npj Quantum Information, 2(1), 15023. https://doi.org/10.1038/npjqi.2015.23
Mosca, M. (2018). Cybersecurity in an era with quantum computers: Will we be ready? IEEE Security & Privacy, 16(5), 38–41. https://doi.org/10.1109/MSP.2018.3761723
Motta, M., & Rice, J. E. (2022). Emerging quan-tum computing algorithms for quantum chemistry. WIREs Computational Molecu-lar Science, 12(3), e1580. https://doi.org/10.1002/wcms.1580
Nakamura, Y., Pashkin, Y. A., & Tsai, J. S. (1999). Coherent control of macroscopic quantum states in a single-Cooper-pair box. Nature, 398(6730), 786–788. https://doi.org/10.1038/19718
National Institute of Standards and Technolo-gy. (2022). PQC standardization process: Selected algorithms. U.S. Department of Commerce. https://csrc.nist.gov/Projects/post-quantum-cryptography/selected-algorithms-2022
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008). Non-Abelian an-yons and topological quantum computa-tion. Reviews of Modern Physics, 80(3), 1083–1159. https://doi.org/10.1103/RevModPhys.80.1083
Nielsen, M. A., & Chuang, I. L. (2010). Quantum computation and quantum information (10th anniversary ed.). Cambridge Uni-versity Press.
Peruzzo, A., McClean, J., Shadbolt, P., Yung, M. H., Zhou, X. Q., Love, P. J., ... & O'Brien, J. L. (2014). A variational eigenvalue solver on a photonic quantum processor. Nature Communications, 5(1), 4213. https://doi.org/10.1038/ncomms5213
Philips, S. G. J., Mądzik, M. T., Amitonov, S. V., de Snoo, S. L., Russ, M., Kalhor, N., ... & Vandersypen, L. M. K. (2022). Universal control of a six-qubit quantum processor in silicon. Nature, 609(7929), 919–924. https://doi.org/10.1038/s41586-022-05117-x
Pompili, M., Hermans, S. L. N., Baier, S., Beukers, H. K. C., Humphreys, P. C., Schouten, R. N., ... & Hanson, R. (2021). Realization of a multinode quantum net-work of remote solid-state qubits. Sci-ence, 372(6539), 259–264. https://doi.org/10.1126/science.abg1919
Preskill, J. (1998). Reliable quantum comput-ers. Proceedings of the Royal Society of London A, 454(1969), 385–410. https://doi.org/10.1098/rspa.1998.0167
Preskill, J. (2012). Quantum computing and the entanglement frontier. Rapporteur talk at the 25th Solvay Conference on Physics. arXiv preprint arXiv:1203.5813. https://doi.org/10.48550/arXiv.1203.5813
Preskill, J. (2018). Quantum computing in the NISQ era and beyond. Quantum, 2, 79. https://doi.org/10.22331/q-2018-08-06-79
Rebentrost, P., Mohseni, M., & Lloyd, S. (2014). Quantum support vector machine for big data classification. Physical Review Let-ters, 113(13), 130503. https://doi.org/10.1103/PhysRevLett.113.130503
Sangouard, N., Simon, C., de Riedmatten, H., & Gisin, N. (2011). Quantum repeaters based on atomic ensembles and linear optics. Reviews of Modern Physics, 83(1), 33–80. https://doi.org/10.1103/RevModPhys.83.33
Seskir, Z. C., Migdał, P., Weidner, C., Anupam, A., Case, N., Davis, N., & Sherson, J. (2022). Quantum games and interactive tools for quantum technologies outreach and education. Optical Engineering, 61(8), 081809. https://doi.org/10.1117/1.OE.61.8.081809
Shor, P. W. (1994). Algorithms for quantum computation: Discrete logarithms and factoring. Proceedings of the 35th Annual Symposium on Foundations of Computer Science,124–134. https://doi.org/10.1109/SFCS.1994.365700
Shor, P. W. (1995). Scheme for reducing deco-herence in quantum computer memory. Physical Review A, 52(4), R2493–R2496. https://doi.org/10.1103/PhysRevA. 52.R2493
Steane, A. (1996). Multiple-particle interfer-ence and quantum error correction. Pro-ceedings of the Royal Society of London A, 452(1954), 2551–2577. https://doi.org/10.1098/rspa.1996.0136
Stephenson, L. J., Nadlinger, D. P., Nichol, B. C., An, S., Drmota, P., Ballance, T. G., ... & Goodwin, J. F. (2020). High-rate, high-fidelity entanglement of qubits across an elementary quantum network. Physi-cal Review Letters, 124(11), 110501. https://doi.org/10.1103/PhysRevLett.124.110501
Tang, E. (2019). A quantum-inspired classical algorithm for recommendation systems. Proceedings of the 51st Annual ACM STOC, 217–228. https://doi.org/10.1145/3313276.3316310
Torres-Alba, A., Lancis, J., Tajahuerce, E., & Climent, V. (2024). Bibliometric analysis of quantum sensing research: Trends, contributions, and future directions. Sen-sors, 24(5), 1623. https://doi.org/10.3390/s24051623
Vandersypen, L. M. K., Steffen, M., Breyta, G., Yannoni, C. S., Sherwood, M. H., & Chuang, I. L. (2001). Experimental reali-zation of Shor's quantum factoring algo-rithm using nuclear magnetic resonance. Nature, 414(6866), 883–887. https://doi.org/10.1038/414883a
Watrous, J. (2009). Quantum computational complexity. In R. A. Meyers (Ed.), Ency-clopedia of complexity and systems sci-ence (pp. 7174–7201). Springer. https://doi.org/10.1007/978-0-387-30440-3_428
Wehner, S., Elkouss, D., & Hanson, R. (2018). Quantum internet: A vision for the road ahead.Science, 362(6412), eaam9288. https://doi.org/10.1126/science.aam9288
Yin, J., Cao, Y., Li, Y. H., Liao, S. K., Zhang, L., Ren, J. G., & Pan, J. W. (2017). Satellite-based entanglement distribution over 1200 kilometers. Science, 356(6343), 1140–1144. https://doi.org/10.1126/science.aan3211
Downloads
Published
Data Availability Statement
the data could be access here https://docs.google.com/spreadsheets/d/10G8LOTEyVB8MYk_qliaMxf45y3vS8IqS/edit?usp=sharing&ouid=110914144393918629919&rtpof=true&sd=true
Issue
Section
Categories
License
Copyright (c) 2026 Eliza B. Ayo, Mary Grace M. Belgar, Bernabe M. Cabuhayan, Madelyn Gabion, Jean Bernadette C. Parcher, Raymond L. Peralta

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See the Effect of Open Access).














