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This review is designed to introduce mathematicians and computational scientists to quantum computing (QC) through the lens of uncertainty quantification (UQ) by presenting a mathematically rigorous and accessible narrative for…

Quantum Physics · Physics 2026-03-30 Ryan Bennink , Olena Burkovska , Konstantin Pieper , Jorge Ramirez , Elaine Wong

We reconstruct the explicit formalism of qubit quantum theory from elementary rules on an observer's information acquisition. Our approach is purely operational: we consider an observer O interrogating a system S with binary questions and…

Quantum Physics · Physics 2018-03-14 Philipp A Hoehn , Christopher Wever

In the present article we use the quantum formalism to describe the process of choice under rational ignorance. We consider as a basic task a question or an issue where the only answers are 0 and 1. We show that under rational ignorance the…

General Physics · Physics 2007-05-23 Riccardo Franco

AI Uncertainty Quantification (UQ) has the potential to improve human decision-making beyond AI predictions alone by providing additional probabilistic information to users. The majority of past research on AI and human decision-making has…

Artificial Intelligence · Computer Science 2024-02-07 Laura R. Marusich , Jonathan Z. Bakdash , Yan Zhou , Murat Kantarcioglu

This document is meant as a pedagogical introduction to the modern language used to talk about quantum theory, especially in the field of quantum information. It assumes that the reader has taken a first traditional course on quantum…

Quantum Physics · Physics 2020-05-27 Cédric Bény , Florian Richter

Reasoning is key to many decision making processes. It requires consolidating a set of rule-like premises that are often associated with degrees of uncertainty and observations to draw conclusions. In this work, we address both the case…

Computation and Language · Computer Science 2024-10-15 Timo Pierre Schrader , Lukas Lange , Simon Razniewski , Annemarie Friedrich

The agenda of quantum algorithmic information theory, ordered `top-down,' is the quantum halting amplitude, followed by the quantum algorithmic information content, which in turn requires the theory of quantum computation. The fundamental…

Quantum Physics · Physics 2007-05-23 Karl Svozil

We put forward a possible new interpretation and explanatory framework for quantum theory. The basic hypothesis underlying this new framework is that quantum particles are conceptual entities. More concretely, we propose that quantum…

Quantum Physics · Physics 2011-11-10 Diederik Aerts

Quantum computation has suggested new forms of quantum logic, called quantum computational logics. The basic semantic idea is the following: the meaning of a sentence is identified with a quregister, a system of qubits, representing a…

Quantum Physics · Physics 2007-05-23 M. L. Dalla Chiara , R. Giuntini , R. Leporini

Qubits are a great way to build a quantum computer, but a limited way to program one. We replace the usual "states and gates" formalism with a "props and ops" (propositions and operators) model in which (a) the C*-algebra of observables…

Quantum Physics · Physics 2025-09-08 David Wakeham

In this paper, we introduce a new model of selection behavior under risk that describes an essential cognitive process for comparing values of objects and making a selection decision. This model is constructed by the quantum-like approach…

Economics · Quantitative Finance 2018-07-18 Masanari Asano , Irina Basieva , Andrei Khrennikov , Masanori Ohya , Yoshiharu Tanaka

Qubits are the fundamental building blocks of quantum information science and applications, whose concept is widely utilized in both quantum physics and quantum computation. While the significance of qubits and their implementation in…

Quantum Physics · Physics 2024-04-22 Chenxu Liu , Samuel A. Stein , Muqing Zheng , James Ang , Ang Li

We present an experimental illustration on the quantum sensitivity of decision making machinery. In the decision making process, we consider the role of available information, say hint, whether it influences the optimal choices. To the end,…

Quantum Physics · Physics 2019-05-15 Joong-Sung Lee , Jeongho Bang , Jinhyoung Lee , Kwang-Geol Lee

Offline reinforcement learning enables policy learning from pre-collected datasets without environment interaction, but existing Decision Transformer (DT) architectures struggle with long-horizon credit assignment and complex state-action…

Machine Learning · Computer Science 2025-12-18 Abraham Itzhak Weinberg

Quantum causality is an emerging field of study which has the potential to greatly advance our understanding of quantum systems. In this paper, we put forth a theoretical framework for merging quantum information science and causal…

Quantum Physics · Physics 2022-12-21 Mohammad Ali Javidian , Vaneet Aggarwal , Zubin Jacob

This paper presents a hypothesis that consciousness is a natural result of neurons that become connected recursively, and work synchronously between short and long term memories. Such neurons demonstrate qubit-like properties, each…

Neurons and Cognition · Quantitative Biology 2016-08-26 John Robert Burger

Modern machine learning (ML) systems excel in recognising and classifying images with remarkable accuracy. However, like many computer software systems, they can fail by generating confusing or erroneous outputs or by deferring to human…

Machine Learning · Computer Science 2024-12-12 Milan Maksimovic , Ivan S. Maksymov

Despite rapid recent advances in quantum machine learning, the field is in many ways stuck. Existing approaches can exhibit serious limitations, and we still lack learning frameworks that are simple, interpretable, scalable, and naturally…

Noisy Intermediate-Scale Quantum computers are expected to be available this year. It is proposed to exploit such a device for decision making under uncertainty. The probabilistic character of quantum mechanics reflects this uncertainty.…

Quantum Physics · Physics 2019-11-15 H. W. L. Naus

In order to create a novel model of memory and brain function, we focus our approach on the sub-molecular (electron), molecular (tubulin) and macromolecular (microtubule) components of the neural cytoskeleton. Due to their size and…

Quantum Physics · Physics 2007-05-23 A. Mershin , D. V. Nanopoulos , E. M. C. Skoulakis