A quantum analogue of Bayesian inference is considered here. Quantum state-update rule
associated with instrument is elected as a quantum Bayes' rule. A sufficient condition on the …

In quantum Bayesian inference problems, any conclusions drawn from a finite number of
measurements depend not only on the outcomes of the measurements but also on a prior …

We derive an asymptotic lower bound on the Bayes risk when N identical quantum systems
whose state depends on a vector of unknown parameters are jointly measured in an …

Research in the Quantum Information Sciences has exploded since the 1980s, with
fascinating results across new fields such as Quantum Cryptography, Quantum Computing …

We discuss the subjective probability interpretation of the quantum-like approach to decision
making and more generally to cognition. Our aim is to adopt the subjective probability …

In many situations, learning from the results of measurements can be regarded as updating
one's probability distributions over certain variables. According to Bayesians, this updating …

The mathematical principles of quantum theory provide a general foundation for assigning
probabilities to events. This paper examines the application of these principles to the …

A review of the fundamental ideas and methods of the optimal reception and processing of
quantum signals is given. Estimation via an operator based on the usual and generalized …

Providing quantum theory, and thus quantum information, with some meaning, can only be
the result of adopting a well-defined approach to the notion of probability. From a …

Cromwell's rule (also known as the zero priors paradox) refers to the constraint of classical
probability theory that if one assigns a prior probability of 0 or 1 to a hypothesis, then the …