On Bayesian inversion for quantum systems (via quantum channels and Markov categories):
James Fullwood, Arthur J. Parzygnat: On quantum states over time, Proceedings of the Royal Society A 478 (2022) [arXiv:2202.03607, doi:10.1098/rspa.2022.0104]
James Fullwood, Arthur J. Parzygnat: From time-reversal symmetry to quantum Bayes rules, PRX Quantum 4 020334 (2023) [arXiv:2212.08088, doi:10.1103/PRXQuantum.4.020334]
James Fullwood, Arthur J. Parzygnat: Operator representation of spatiotemporal quantum correlations [arXiv:2405.17555]
Arthur J. Parzygnat, James Fullwood: Time-symmetric correlations for open quantum systems [arXiv:2407.11123]
On category theoretic formulation of the Born rule in quantum physics as a natural transformation:
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