The prospects of Monte Carlo antibody loop modelling on a fault-tolerant quantum computer
Open accessAbstract
Quantum computing for the biological sciences is an area of rapidly growing interest, but specific industrial applications remain elusive. Quantum Markov chain Monte Carlo has been proposed as a method for accelerating a broad class of computational problems, including problems of pharmaceutical interest. Here we investigate the prospects of quantum advantage via this approach, by applying it to the problem of modelling antibody structure, a crucial task in drug development. To minimize the resources required while maintaining pharmaceutical-level accuracy, we propose a specific encoding of molecular dihedral angles into registers of qubits and a method for implementing, in quantum superposition, a Markov chain Monte Carlo update step based on a classical all-atom force field. We give the first detailed analysis of the resources required to solve a problem of industrial size and relevance and find that, though the time and space requirements of using a quantum computer in this way are considerable, continued technological improvements could bring the required resources within reach in the future.
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?
Fault-tolerant qubits would also increase the time requested for each elementary operation.
“one should also consider the increased time requested for each elementary operation [53, 54]”
From Quantum computing algorithms: getting closer to critical problems in computational biology (2022) · cites this paper as [54]
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
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,449 · see citing works
The PyMOL Molecular Graphics System
DeLano, W. L. (2002) · Medical Entomology and Zoology · Cited by 18,147 · see citing works
CHARMM36m: An Improved Force Field for Folded and Intrinsically Disordered Proteins
Huang, J., Rauscher, S., Nawrocki, G., Ran, T., Feig, M., de Groot, B. L., Grubmüller, H., & MacKerell, A. (2016) · Nature Methods · doi:10.1038/nmeth.4067 · Cited by 6,708 · see citing works
A variational eigenvalue solver on a photonic quantum processor
Peruzzo, A., McClean, J., Shadbolt, P., Yung, M.-H., Zhou, X.-Q., Love, P. J., Aspuru-Guzik, A., & O’Brien, J. L. (2014) · Nature Communications · doi:10.1038/ncomms5213 · Cited by 4,552 · cited 3× · see citing works
“In particular, the works of (Perdomo et al., 2008; Babbush et al., 2012; Perdomo-Ortiz et al., 2012; Babej et al., 2018; Outeiral et al., 2021a) investigate simulating lattice-based models of proteins using analog quantum computers such as quantum annealers; For gate-based quantum computing, lattice-models of proteins…”
BackgroundScheme 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
Stereochemistry of polypeptide chain configurations
Ramachandran, G. N., Ramakrishnan, C., & Sasisekharan, V. (1963) · Journal of Molecular Biology · doi:10.1016/s0022-2836(63)80023-6 · Cited by 3,549 · see citing works
Improved protein structure prediction using potentials from deep learning
Senior, A. W., Evans, R., Jumper, J., Kirkpatrick, J., Sifre, L., Green, T., Qin, C., Žídek, A., Nelson, A. W. R., Bridgland, A., et al. (2020) · Nature · doi:10.1038/s41586-019-1923-7 · Cited by 3,378 · see citing works
Surface codes: Towards practical large-scale quantum computation
Fowler, A. G., Mariantoni, M., Martinis, J. M., & Cleland, A. N. (2012) · Physical Review A · doi:10.1103/physreva.86.032324 · Cited by 3,059 · cited 4× · see citing works
“For future quantum devices, pe = 10 −5, tS = 200ns are plausibly achievable [19, 39].”
BackgroundInfluentialA Quantum Approximate Optimization Algorithm
Farhi, E., Goldstone, J., & Gutmann, S. (2014) · arXiv · doi:10.48550/arxiv.1411.4028 · Cited by 1,789 · see citing works
Dennis, E., Kitaev, A., Landahl, A., & Preskill, J. (2002) · Journal of Mathematical Physics · doi:10.1063/1.1499754 · Cited by 1,768 · see citing works
Unke, O. T., Chmiela, S., Sauceda, H. E., Gastegger, M., Poltavsky, I., Schütt, K. T., Tkatchenko, A., & Müller, K.-R. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c01111 · Cited by 1,647 · see citing works
Dennis, E., Kitaev, A., Landahl, A., & Preskill, J. (2001) · CERN Document Server (European Organization for Nuclear Research) · Cited by 1,485 · see citing works
Quantum computation and decision trees
Farhi, E., & Gutmann, S. (1998) · Physical Review A · doi:10.1103/physreva.58.915 · Cited by 1,215 · see citing works
Quantum computing with realistically noisy devices
Knill, E. (2005) · Nature · doi:10.1038/nature03350 · Cited by 1,184 · see citing works
Markov Chains and Mixing Times
Levin, D., & Peres, Y. (2017) · American Mathematical Society eBooks · doi:10.1090/mbk/107 · Cited by 1,011 · see citing works
Shapovalov, M. V., & Dunbrack, R. L. (2011) · Structure · doi:10.1016/j.str.2011.03.019 · Cited by 1,000 · see citing works
Quantum networks for elementary arithmetic operations
Vedral, V., Barenco, A., & EKERT, A. K. (1996) · Physical Review A · doi:10.1103/physreva.54.147 · Cited by 799 · see citing works
A simple formula for the average gate fidelity of a quantum dynamical operation
Nielsen, M. A. (2002) · Physics Letters A · doi:10.1016/s0375-9601(02)01272-0 · Cited by 725 · see citing works
Knill, E., Laflamme, R., & Zurek, W. H. (1998) · Science · doi:10.1126/science.279.5349.342 · Cited by 663 · see citing works
(2004) · doi:10.1109/focs.2004.53 · Cited by 599 · see citing works
Quantum Computation by Adiabatic Evolution
Farhi, E., Goldstone, J., Gutmann, S., & Sipser, M. (2000) · arXiv · doi:10.48550/arxiv.quant-ph/0001106 · Cited by 536 · see citing works
Machine Learning Force Fields: Construction, Validation, and Outlook
Botu, V., Batra, R., Chapman, J., & Ramprasad, R. (2016) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.6b10908 · Cited by 516 · see citing works
Fault-Tolerant Quantum Computation with Constant Error Rate
Aharonov, D., & Ben-Or, M. (2008) · SIAM Journal on Computing · doi:10.1137/s0097539799359385 · Cited by 513 · see citing works
Time/Space Trade-Offs for Reversible Computation
Bennett, C. H. (1989) · SIAM Journal on Computing · doi:10.1137/0218053 · Cited by 405 · see citing works
Quantum codes on a lattice with boundary
Bravyi, S. B., & Kitaev, A. Y. (1998) · arXiv · doi:10.48550/arxiv.quant-ph/9811052 · Cited by 394 · see citing works
Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
Babbush, R., Gidney, C., Berry, D. W., Wiebe, N., McClean, J., Paler, A., Fowler, A., & Neven, H. (2018) · Physical Review X · doi:10.1103/physrevx.8.041015 · Cited by 383 · see citing works
Finding low-energy conformations of lattice protein models by quantum annealing
Perdomo-Ortiz, A., Dickson, N., Drew-Brook, M., Rose, G., & Aspuru-Guzik, A. (2012) · Scientific Reports · doi:10.1038/srep00571 · Cited by 366 · see citing works
A new quantum ripple-carry addition circuit
Cuccaro, S. A., Draper, T. G., Kutin, S. A., & Moulton, D. P. (2004) · arXiv · doi:10.48550/arxiv.quant-ph/0410184 · Cited by 344 · see citing works
Halving the cost of quantum addition
Gidney, C. (2018) · Quantum · doi:10.22331/q-2018-06-18-74 · Cited by 279 · see citing works
The 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
Self-citationQuantum algorithm and circuit design solving the Poisson equation
Cao, Y., Papageorgiou, A., Petras, I., Traub, J., & Kais, S. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/1/013021 · Cited by 204 · see citing works
Resource-efficient quantum algorithm for protein folding
Robert, A., Barkoutsos, P. K., Woerner, S., & Tavernelli, I. (2021) · npj Quantum Information · doi:10.1038/s41534-021-00368-4 · Cited by 201 · see citing works
Addition on a Quantum ComputerPreprint
Draper, T. G. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0008033 · Cited by 196 · see citing works
Antibody Engineering for the Development of Therapeutic Antibodies
Kim, S. J., Park, Y.-W., & Hong, H. J. (2005) · Molecules and Cells · doi:10.1016/s1016-8478(23)25245-0 · Cited by 167 · see citing works
Gidney, C., & Fowler, A. G. (2019) · Quantum · doi:10.22331/q-2019-04-30-135 · Cited by 152 · see citing works
Focus beyond Quadratic Speedups for Error-Corrected Quantum Advantage
Babbush, R., McClean, J. R., Newman, M., Gidney, C., Boixo, S., & Neven, H. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.010103 · Cited by 148 · see citing works
Quantum addition circuits and unbounded fan-out
Takahashi, Y., Tani, S., & Kunihiro, N. (2010) · Quantum Information and Computation · doi:10.26421/qic10.9-10-12 · Cited by 136 · see citing works
Perdomo, A., Truncik, C., Tubert-Brohman, I., Rose, G., & Aspuru-Guzik, A. (2008) · Physical Review A · doi:10.1103/physreva.78.012320 · Cited by 120 · see citing works
Bounding quantum gate error rate based on reported average fidelity
Sanders, Y. R., Wallman, J. J., & Sanders, B. C. (2015) · New Journal of Physics · doi:10.1088/1367-2630/18/1/012002 · Cited by 120 · see citing works
Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization
Sanders, Y. R., Berry, D. W., Costa, P. C. S., Tessler, L. W., Wiebe, N., Gidney, C., Neven, H., & Babbush, R. (2020) · PRX Quantum · doi:10.1103/prxquantum.1.020312 · Cited by 112 · see citing works
Practical conversion from torsion space to Cartesian space for in silico protein synthesis
Parsons, J., Holmes, J. B., Rojas, J. M., Tsai, J. W., & Strauss, C. E. M. (2005) · Journal of Computational Chemistry · doi:10.1002/jcc.20237 · Cited by 97 · see citing works
Optimizing Quantum Circuits for ArithmeticPreprint
Häner, T., Roetteler, M., & Svore, K. M. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1805.12445 · Cited by 84 · see citing works
CDR-H3 loop ensemble in solution – conformational selection upon antibody binding
Fernández‐Quintero, M. L., Kraml, J., Georges, G. J., & Liedl, K. R. (2019) · mAbs · doi:10.1080/19420862.2019.1618676 · Cited by 75 · see citing works
A quantum alternating operator ansatz with hard and soft constraints for lattice protein foldingPreprint
Fingerhuth, M., Babej, T., & Ing, C. E. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1810.13411 · Cited by 70 · see citing works
Designing Peptides on a Quantum Computer
Mulligan, V. K., Melo, H., Merritt, H. I., Slocum, S., Weitzner, B. D., Watkins, A. M., Renfrew, P. D., Pelissier, C., Arora, P. S., & Bonneau, R. (2019) · doi:10.1101/752485 · Cited by 67 · see citing works
Antibodies exhibit multiple paratope states influencing VH–VL domain orientations
Fernández‐Quintero, M. L., Pomarici, N. D., Math, B. A., Kroell, K. B., Waibl, F., Bujotzek, A., Georges, G. J., & Liedl, K. R. (2020) · Communications Biology · doi:10.1038/s42003-020-01319-z · Cited by 57 · see citing works
Monte Carlo vs Molecular Dynamics for All-Atom Polypeptide Folding Simulations
Ulmschneider, J. P., Ulmschneider, M. B., & Nola, A. D. (2006) · The Journal of Physical Chemistry B · doi:10.1021/jp061619b · Cited by 55 · see citing works
Quantum algorithms and circuits for scientific computing
Bhaskar, M. K., Hadfield, S., Papageorgiou, A., & Petras, I. (2016) · Quantum Information and Computation · doi:10.26421/qic16.3-4-2 · Cited by 55 · see citing works
Efficient Quantum Walk Circuits for Metropolis-Hastings Algorithm
Lemieux, J., Heim, B., Poulin, D., Svore, K., & Troyer, M. (2020) · Quantum · doi:10.22331/q-2020-06-29-287 · Cited by 55 · see citing works
QFold: quantum walks and deep learning to solve protein folding
Casares, P. A. M., Campos, R., & Martin-Delgado, M. A. (2022) · Quantum Science and Technology · doi:10.1088/2058-9565/ac4f2f · Cited by 53 · see citing works
Coarse-grained lattice protein folding on a quantum annealerPreprint
Babej, T., Ing, C. E., & Fingerhuth, M. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1811.00713 · Cited by 47 · see citing works
Babbush, R., Perdomo‐Ortiz, A., O'Gorman, B., Macready, W., & Aspuru‐Guzik, A. (2014) · Advances in Chemical Physics · doi:10.1002/9781118755815.ch05 · Cited by 45 · see citing works
T-count and Qubit Optimized Quantum Circuit Design of the Non-Restoring Square Root Algorithm
Muñoz-Coreas, E., & Thapliyal, H. (2017) · ACM Journal on Emerging Technologies in Computing Systems · doi:10.1145/3264816 · Cited by 37 · see citing works
Ensembles in solution as a new paradigm for antibody structure prediction and design
Fernández‐Quintero, M. L., Georges, G. J., Varga, J. M., & Liedl, K. R. (2021) · mAbs · doi:10.1080/19420862.2021.1923122 · Cited by 30 · see citing works
Wang, S., Wang, Z., Li, W., Fan, L., Cui, G., Wei, Z., & Gu, Y. (2020) · Quantum Information Processing · doi:10.1007/s11128-020-02855-7 · Cited by 26 · see citing works
Forecasting timelines of quantum computingPreprint
Sevilla, J., & Riedel, C. J. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2009.05045 · Cited by 21 · see citing works
A logarithmic-depth quantum carry-lookahead adderPreprint
Draper, T. G., Kutin, S. A., Rains, E. M., & Svore, K. M. (2004) · arXiv (Cornell University) · doi:10.4230/lipics.fun.2026.15 · Cited by 18 · see citing works
A Variable Neighbourhood Descent Heuristic for Conformational Search Using a Quantum Annealer
Marchand, D. J. J., Noori, M., Roberts, A., Rosenberg, G., Woods, B., Yildiz, U., Coons, M. P., Devore, D. D., & Margl, P. M. (2019) · Scientific Reports · doi:10.1038/s41598-019-47298-y · Cited by 16 · see citing works
Investigating the potential for a limited quantum speedup on protein lattice problems
Outeiral, C., Morris, G. M., Shi, J., Strahm, M., Benjamin, S. C., & Deane, C. M. (2021) · New Journal of Physics · doi:10.1088/1367-2630/ac29ff · Cited by 6 · see citing works
Self-citation
Flagged first, then by citations
2 of the 61 references couldn’t be matched to a known paper.
Research works printed but not linked: 3
- ch05 · DOI · Paper page
- Chen, Z., Satzinger, K. J., Atalaya, J., Korotkov, A. N., Dunsworth, A., Sank, D., et al. (2021). Exponential Suppression of Bit or Phase Flip Errors with Repetitive Error Correction. arXiv:2102.06132 [quant-ph]. · arXiv
- Zhao, Y., Ye, Y., Huang, H.-L., Zhang, Y., Wu, D., Guan, H., et al. (2021). Realizing an Error-Correcting Surface Code with Superconducting Qubits. arXiv: 2112.13505 [quant-ph]. · arXiv
Cited by
Sorted by citations
The state of quantum computing applications in health and medicine
Flöther, F. F. (2023) · Research Directions Quantum Technologies · doi:10.1017/qut.2023.4 · Cited by 128 · see citing works
Quantum computing algorithms: getting closer to critical problems in computational biology
Marchetti, L., Nifosì, R., Martelli, P. L., Da Pozzo, E., Cappello, V., Banterle, F., Trincavelli, M. L., Martini, C., & D’Elia, M. (2022) · Briefings in Bioinformatics · doi:10.1093/bib/bbac437 · Cited by 47 · see citing works
“Gate-based quantum algorithms are also being proposed to address biopolymer conformations, including a hybrid approach combining quantum Monte Carlo and machine learning for protein structure prediction [80], another quantum Monte Carlo approach to antibody loop modelling [54] and protein design exploiting Grover’s al…”
BackgroundMethodQuantum computing research in medical sciences
Alrashed, S., & Min‐Allah, N. (2024) · Informatics in Medicine Unlocked · doi:10.1016/j.imu.2024.101606 · Cited by 40 · see citing works
Peptide conformational sampling using the Quantum Approximate Optimization Algorithm
Boulebnane, S., Lucas, X., Meyder, A., Adaszewski, S., & Montanaro, A. (2023) · npj Quantum Information · doi:10.1038/s41534-023-00733-5 · Cited by 32 · see citing works
Self-citationProtecting expressive circuits with a quantum error detection code
Self, C. N., Benedetti, M., & Amaro, D. (2024) · Nature Physics · doi:10.1038/s41567-023-02282-2 · Cited by 31 · 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
Baaklini, M., & Hernández, M. D. C. V. (2025) · Frontiers in Medical Technology · doi:10.3389/fmedt.2025.1491197 · Cited by 9 · see citing works
Efficient quantum algorithm for lattice protein folding
Wang, Y., & Zhou, X. (2024) · Quantum Science and Technology · doi:10.1088/2058-9565/ada08e · Cited by 8 · see citing works
Quantum computing for faster enzyme discovery and engineering
Damborský, J., Kouba, P., Šivic, J., Vasina, M., Bednář, D., & Mazurenko, S. (2025) · Nature Catalysis · doi:10.1038/s41929-025-01410-w · Cited by 9 · see citing works
Early quantum computing applications on the path towards precision medicine
Flöther, F. F. (2024) · Elsevier eBooks · doi:10.1016/b978-0-323-98808-7.00001-1 · Cited by 7 · see citing works
Zhao, 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
Jenish, S. A., Keerthana, S., & Karthik, R. (2025) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-025-10421-6
- Authors
- Allcock, J., Vangone, A., Meyder, A., Adaszewski, S., Strahm, M., Hsieh, C.-Y., & Zhang, S.
- Affiliations
- Tencent (China) (CN)
- Roche Pharma AG (Germany) (DE)
- F. Hoffmann-La Roche AG (CH)
- Corresponding author
- Allcock, Jonathan
- Vangone, Anna
- Zhang, Shengyu
- Venue
- Frontiers in Drug Discovery
- Publisher
- Frontiers Media SA
- Published
- 2022-07-08
- Volume
- 2
- ISSN
- 2674-0338 (ISSN-L)
- OpenAlex
- W4284879541
- Cited by
- 12
- References
- 61
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 4 · 2023: 3 · 2022: 1
- FWCI
- 0.90
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Frontiers in Drug Discovery (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Computational Drug Discovery Methods
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Protein Structure and Dynamics
- Keywords
- quantum advantage, fault-tolerant quantum computing, all-atom force field, quantum resource estimation, antibody structure prediction, drug development
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