Trends, Gaps, and Research Trajectories in Quantum Computing: A Comprehensive Systematic and Bibliometric Review  

Authors

DOI:

https://doi.org/10.11594/

Keywords:

research landscape, trends, gaps, trajectories, quantum computing, systematic bibliometric review

Abstract

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.

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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

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Published

23-06-2026

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the data could be access here https://docs.google.com/spreadsheets/d/10G8LOTEyVB8MYk_qliaMxf45y3vS8IqS/edit?usp=sharing&ouid=110914144393918629919&rtpof=true&sd=true

How to Cite

Ayo, E. B., Belgar, M. G. M., Cabuhayan, B. M., Gabion, M., Parcher, J. B. C., & Peralta, R. L. (2026). Trends, Gaps, and Research Trajectories in Quantum Computing: A Comprehensive Systematic and Bibliometric Review  . International Journal of Multidisciplinary: Applied Business and Education Research, 7(6), 2518-2534. https://doi.org/10.11594/