References by model

How to cite: cite Quantum Mind (CITATION.cff, or “Cite this repository” on GitHub) for the software, and the original paper of every model you use, listed below. A BibTeX file of these references, checked against Crossref, is built by the “references” workflow (docs/_ext/check_refs.py --bib).

Model	Category	Origin	Reference
Lüders rule and answer sequences	Quantum-like	Published method	Lüders, G. (1951). Annalen der Physik, 443, 322-328.
Open-system evolution	Quantum-like	Published method	Breuer, H.-P., & Petruccione, F. (2002). The Theory of Open Quantum Systems. Oxford University Press.
Model and parameters	Classical	Software tool	none (software or design of this library)
Fit, compare and recover	Classical	Published method	Burnham, K. P., & Anderson, D. R. (2002). Model Selection and Multimodel Inference (2nd ed.). Springer.
Individual differences	Classical	Published method	none (software or design of this library)
Uncertainty, online updating and informative questions	Classical	Unique to Quantum Mind	Myung, J. I., & Pitt, M. A. (2009). Psychological Review, 116(3), 499-518; Chopin, N. (2002). Biometrika, 89(3), 539-551; Efron, B., & Tibshirani, R. J. (1993). An Introduction to the Bootstrap.
Question order: quantum-like model	Quantum-like	Published model, extended	Wang, Z., & Busemeyer, J. R. (2013). Topics in Cognitive Science, 5(4), 689-710.
Question order: classical baselines	Classical	Published model, extended	Hogarth, R. M., & Einhorn, H. J. (1992). Cognitive Psychology, 24, 1-55.
Quantum-like Bayesian network	Quantum-like	Published model, extended	Moreira, C., & Wichert, A. (2016). Frontiers in Psychology, 7, 11.
Belief dynamics: quantum and Markov walks	Mixed	Published model, extended	Kvam, P. D., Pleskac, T. J., Yu, S., & Busemeyer, J. R. (2015). PNAS, 112(34), 10645-10650.
Trust belief (open system)	Quantum-like	Published model, extended	Busemeyer, J. R., & Bruza, P. D. (2024). Quantum Models of Cognition and Decision (2nd ed.); Roeder, L., et al. (2023). A quantum model of trust calibration in human-AI interactions. Entropy, 25(9), 1362.
Bistable perception (quantum Zeno)	Quantum-like	Published model, extended	Atmanspacher, H., Filk, T., & Römer, H. (2004). Biological Cybernetics, 90, 33-40.
Context-rotated belief filter (COBRA)	Quantum-like	Unique to Quantum Mind	Busemeyer, J. R., & Bruza, P. D. (2012). Quantum Models of Cognition and Decision. Cambridge University Press; Kraus, K. (1983). States, Effects and Operations: Fundamental Notions of Quantum Theory. Springer.
Online belief	Quantum-like	Unique to Quantum Mind	Busemeyer, J. R., & Bruza, P. D. (2012). Quantum Models of Cognition and Decision. Cambridge University Press.
Gaussian Bayes filter	Classical	Published method	Maron, M. E. (1961). Automatic indexing: an experimental inquiry. Journal of the ACM, 8(3), 404-417.
Minimum-cost action	Classical	Published method	Berger, J. O. (1985). Statistical Decision Theory and Bayesian Analysis. Springer.
Robot problems as QUBOs	Mixed	Published model, extended	Lucas, A. (2014). Ising formulations of many NP problems. Frontiers in Physics, 2, 5.
Classical baselines for QUBOs	Classical	Published method	Kirkpatrick, S., Gelatt, C. D., & Vecchi, M. P. (1983). Optimization by simulated annealing. Science, 220, 671-680.
QAOA adapter (Qiskit)	Quantum computing	Software tool	Farhi, E., Goldstone, J., & Gutmann, S. (2014). A quantum approximate optimization algorithm. arXiv:1411.4028.
Solver comparison	Mixed	Software tool	none (software or design of this library)
Quantum sensing limits	Quantum computing	Published method	Kasevich, M., & Chu, S. (1992). Measurement of the gravitational acceleration of an atom with a light-pulse atom interferometer. Applied Physics B, 54, 321-332; Giovannetti, V., Lloyd, S., & Maccone, L. (2004). Quantum-enhanced measurements: beating the standard quantum limit. Science, 306, 1330-1336.
Inertial sensor models	Mixed	Published method	Kasevich, M., & Chu, S. (1992). Applied Physics B, 54, 321-332.
Multi-rate Kalman dead reckoning	Mixed	Published model, extended	Kalman, R. E. (1960). A new approach to linear filtering and prediction problems. Journal of Basic Engineering, 82, 35-45.
Human-model ensemble	Mixed	Unique to Quantum Mind	Wagenmakers, E.-J., & Farrell, S. (2004). Psychonomic Bulletin & Review, 11, 192-196.
Ask or act	Classical	Unique to Quantum Mind	Howard, R. A. (1966). IEEE Transactions on Systems Science and Cybernetics, 2(1), 22-26.
Human-model service	Classical	Software tool	none (software or design of this library)
Intent resolution	Quantum-like	Unique to Quantum Mind	Busemeyer & Bruza (2024), ch. 4.
Recalibration	Classical	Published method	Guo, C., Pleiss, G., Sun, Y., & Weinberger, K. Q. (2017). Proceedings of ICML.
Conformal prediction sets	Classical	Published model, extended	Angelopoulos, A. N., & Bates, S. (2023). Foundations and Trends in Machine Learning, 16(4), 494-591; Gibbs, I., & Candès, E. (2021). Adaptive conformal inference under distribution shift. NeurIPS 34.
Calibration monitor	Classical	Published method	Clopper, C. J., & Pearson, E. S. (1934). Biometrika, 26, 404-413.
Confidence gate	Classical	Published method	none (software or design of this library)
Meta-calibrated gate	Classical	Unique to Quantum Mind	Efron, B., & Morris, C. (1975). JASA, 70, 311-319.
Question planner	Quantum-like	Unique to Quantum Mind	Howard (1966); Wang & Busemeyer (2013); related: Rosenthal, S., Dey, A. K., & Veloso, M. (2009). How robots’ questions affect the accuracy of the human responses. IEEE RO-MAN.
Answer models	Quantum-like	Unique to Quantum Mind	none (software or design of this library)
Personalised human models	Classical	Published model, extended	Gelman, A., & Hill, J. (2007). Data Analysis Using Regression and Multilevel/Hierarchical Models.
Trust-aware hand-over	Quantum-like	Unique to Quantum Mind	Hancock, P. A., et al. (2011). Human Factors, 53(5), 517-527.
Perception adapters	Classical	Published method	Fisher, R. A. (1953). Proceedings of the Royal Society A, 217, 295-305.
Fusion rules	Mixed	Published model, extended	Shafer, G. (1976). A Mathematical Theory of Evidence. Princeton University Press.
Cue incompatibility	Quantum-like	Unique to Quantum Mind	none (software or design of this library)
Dwell-time baselines	Classical	Published model, extended	Brascamp, J. W., et al. (2006). Journal of Vision, 6, 1244-1256.
Clarification environment	Quantum-like	Unique to Quantum Mind	Towers, M., et al. (2024). Gymnasium. arXiv:2407.17032.
Trust hand-over environment	Quantum-like	Unique to Quantum Mind	none (software or design of this library)
State-vector simulator	Quantum computing	Software tool	Jones, T., & Gacon, J. (2020). arXiv:2009.02823 (adjoint differentiation).
QUBO container	Classical	Software tool	Lucas, A. (2014). Frontiers in Physics, 2, 5.
Trust-aware task allocation	Mixed	Unique to Quantum Mind	Lucas, A. (2014). Frontiers in Physics, 2, 5 (allocation QUBO); trust from Busemeyer & Bruza (2024) and Roeder et al. (2023).
Circuits for the quantum-like families	Quantum computing	Unique to Quantum Mind	none (software or design of this library)
Back ends	Quantum computing	Software tool	none (software or design of this library)
Bloch-sphere viewer	Quantum computing	Software tool	Wootters, W. K. (1998). Physical Review Letters, 80, 2245.