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

ML Bera, MN Bera - Physical Review A, 2023 - APS
The traditional Bayes' rule lays the foundation for causal reasoning and finding relations
between cause (input) and effect (output). This causal reasoning is universally applied to all …

[图书][B] Quantum causality: conceptual issues in the causal theory of quantum mechanics

PJ Riggs - 2009 - books.google.com
There is no sharp dividing line between the foundations of physics and philosophy of
physics. This is especially true for quantum mechanics. The debate on the interpretation of …

Experimental test of quantum causal influences

I Agresti, D Poderini, B Polacchi, N Miklin… - Science …, 2022 - science.org
Since Bell's theorem, it is known that local realism fails to explain quantum phenomena. Bell
inequality violations manifestly show the incompatibility of quantum theory with classical …

Quantum causal models via quantum Bayesianism

J Pienaar - Physical Review A, 2020 - APS
This paper presents a framework for quantum causal modeling based on the interpretation
of causality as a relation between an observer's probability assignments to hypothetical or …

Quantifying causal influences in the presence of a quantum common cause

M Gachechiladze, N Miklin, R Chaves - Physical Review Letters, 2020 - APS
Quantum mechanics challenges our intuition on the cause-effect relations in nature. Some
fundamental concepts, including Reichenbach's common cause principle or the notion of …

Measurement and the justification of the statistical postulate in Bohm's causal interpretation of quantum mechanics

J Subramanyam - Synthese, 1997 - Springer
I briefly sketch Bohm's causal interpretation (BCI) and its solution to the measurement
problem. Crucial to BCI's no-collapse account of both ideal and non-ideal measurement is …

Making sense of quantum mechanics: Why you should believe in hidden variables

AJM Garrett - Maximum Entropy and Bayesian Methods: Paris …, 1993 - Springer
The nondeterministic character of quantum measurement can, and should, be taken to imply
a deeper 'hidden variable'description of a system, which reproduces quantum theory when …

Quantum violation of an instrumental test

R Chaves, G Carvacho, I Agresti, V Di Giulio, L Aolita… - Nature Physics, 2018 - nature.com
Inferring causal relations from experimental observations is of primal importance in science.
Instrumental tests provide an essential tool for that aim, as they allow one to estimate causal …

Quantum common causes and quantum causal models

JMA Allen, J Barrett, DC Horsman, CM Lee… - Physical Review X, 2017 - APS
Reichenbach's principle asserts that if two observed variables are found to be correlated,
then there should be a causal explanation of these correlations. Furthermore, if the …

Perspective on experimental quantum causality

G Carvacho, R Chaves, F Sciarrino - Europhysics Letters, 2019 - iopscience.iop.org
Inferring causal relations from empirical data is a central task in any scientific inquiry. To that
aim, a mathematical theory of causality has been developed, not only stating under which …