Quantum bayes rule

R Schack, TA Brun, CM Caves - Physical Review A, 2001 - APS
quantum version of the Bayes rule for statistical inference and give a simple general derivation
within the framework of generalized measurements. The rule … we apply the rule to N qubits…

From time-reversal symmetry to quantum Bayes' rules

AJ Parzygnat, J Fullwood - PRX Quantum, 2023 - APS
Bayesrule in the quantum setting, and we show that a vast majority of the proposed quantum
Bayesrules … Moreover, our Bayesrule is based upon a simple relationship between the …

The quantum Bayes rule and generalizations from the quantum maximum entropy method

K Vanslette - Journal of Physics Communications, 2018 - iopscience.iop.org
… Here we provide a new derivation of the Quantum Bayes Rule (QBR), discuss the physical …
process in Quantum Mechanics (QM), and briefly discuss how the quantum maximum entropy …

Quantum-bayesian coherence

CA Fuchs, R Schack - Reviews of modern physics, 2013 - APS
… is not altered in quantum mechanics (it is personalistic Bayesian probability). What is …
quantum mechanics gives a resource that raw Bayesian probability theory does not: It gives a rule

Quantum Bayes' rule affirming consistency in measurement inferences in quantum mechanics

ML Bera, MN Bera - Physical Review A, 2023 - APS
… based on a quantum Bayesrule. It applies to general quantum processes even when a cause
… Our results thereby affirm that quantum mechanics, equipped with a quantum Bayesrule, …

A quantum Bayes' rule and related inference

H Liu - Quantum Information Processing, 2024 - Springer
… Our quantum Bayesrule is not an instance of Leifer and Spekkens’ since ours is … of quantum
belief propagation and quantum Bayesrule in their framework. Generalized Bayesrule of …

A quantum-Bayesian route to quantum-state space

CA Fuchs, R Schack - Foundations of Physics, 2011 - Springer
quantum-Bayesian approach to quantum foundations [1–12], the probabilities p(i) represent
an agent’s BayesianQuantum-Bayesian state assignments are personalist in the sense that …

Quantum Bayes' rule and Petz transpose map from the minimal change principle

G Bai, F Buscemi, V Scarani - arXiv preprint arXiv:2410.00319, 2024 - arxiv.org
… to quantum Bayesrule by establishing a natural quantum … the minimal change is quantified
by the quantum fidelity [25… the resulting quantum Bayesrule can be derived analytically …

Quantum probabilities as Bayesian probabilities

CM Caves, CA Fuchs, R Schack - Physical review A, 2002 - APS
… The updating can be cast as an application of Bayes rule to updating the generating
function in light of the data 21. The only requirement for ‘‘coming to agreement’’ is that both …

[PDF][PDF] The Status of the Bayes Rule in QBism

BC Stacey - arXiv preprint arXiv:2210.10757, 2022 - arxiv.org
… the identity is a structural feature of quantum theory [12]. Again… ’s rule is a quantum version
of the Bayesrule for statistical … quantum theory have not invoked the Bayes update rule, other …