A Quantum Bayes' Rule and Related Inference
- URL: http://arxiv.org/abs/2204.08845v3
- Date: Mon, 9 Jan 2023 12:27:07 GMT
- Title: A Quantum Bayes' Rule and Related Inference
- Authors: Huayu Liu
- Abstract summary: We propose a quantum analogue of Bayes' rule, which elaborates how a prior normal state updates under observations.
It is noted that our theory not only retains the classical one as a special case but possesses many new features as well.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this work a quantum analogue of Bayesian inference is considered. Based on
the notion of instrument, we propose a quantum analogue of Bayes' rule, which
elaborates how a prior normal state updates under observations. Besides, we
investigate the limit of posterior normal state as the number of observations
goes to infinity. After that, we generalize the fundamental notions and results
of Bayesian inference according to quantum Bayes' rule. It is noted that our
theory not only retains the classical one as a special case but possesses many
new features as well.
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