Quantum Uncertainty in Decision Theory
- URL: http://arxiv.org/abs/2105.07877v1
- Date: Mon, 10 May 2021 16:58:38 GMT
- Title: Quantum Uncertainty in Decision Theory
- Authors: V.I. Yukalov
- Abstract summary: An approach is presented treating decision theory as a probabilistic theory based on quantum techniques.
Quantum probabilities serve as an essentially more powerful tool of characterizing various decision-making situations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: An approach is presented treating decision theory as a probabilistic theory
based on quantum techniques. Accurate definitions are given and thorough
analysis is accomplished for the quantum probabilities describing the choice
between separate alternatives, sequential alternatives characterizing
conditional quantum probabilities, and behavioral quantum probabilities taking
into account rational-irrational duality of decision making. The comparison
between quantum and classical probabilities is explained. The analysis
demonstrates that quantum probabilities serve as an essentially more powerful
tool of characterizing various decision-making situations including the
influence of psychological behavioral effects.
Related papers
- What is \textit{Quantum} in Probabilistic Explanations of the Sure Thing
Principle Violation? [0.0]
The Prisoner's Dilemma game (PDG) is one of the simple test-beds for the probabilistic nature of the human decision-making process.
Quantum probabilistic models can explain this violation as a second-order interference effect.
We discuss the role of other quantum information-theoretical quantities, such as quantum entanglement, in the decision-making process.
arXiv Detail & Related papers (2023-06-21T00:01:01Z) - Quantum Conformal Prediction for Reliable Uncertainty Quantification in
Quantum Machine Learning [47.991114317813555]
Quantum models implement implicit probabilistic predictors that produce multiple random decisions for each input through measurement shots.
This paper proposes to leverage such randomness to define prediction sets for both classification and regression that provably capture the uncertainty of the model.
arXiv Detail & Related papers (2023-04-06T22:05:21Z) - Quantum Instability [30.674987397533997]
We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system.
An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
arXiv Detail & Related papers (2022-08-05T19:53:46Z) - No-go theorems for deterministic purification and probabilistic
enhancement of coherence [0.0]
We prove that a quantum state cannot be deterministically purified if it can be expressed as a convex combination of an incoherent state and a coherent state.
Our findings have repercussions on the understanding of quantum coherence in real quantum systems.
arXiv Detail & Related papers (2022-03-29T05:02:31Z) - Stochastic approximate state conversion for entanglement and general quantum resource theories [41.94295877935867]
An important problem in any quantum resource theory is to determine how quantum states can be converted into each other.
Very few results have been presented on the intermediate regime between probabilistic and approximate transformations.
We show that these bounds imply an upper bound on the rates for various classes of states under probabilistic transformations.
We also show that the deterministic version of the single copy bounds can be applied for drawing limitations on the manipulation of quantum channels.
arXiv Detail & Related papers (2021-11-24T17:29:43Z) - On the relation between quantum theory and probability [0.0]
The theory of probability and the quantum theory, the one mathematical and the other physical, are related in that each admits a number of very different interpretations.
It has been proposed that the conceptual problems of the quantum theory could be, if not resolved, at least mitigated by a proper interpretation of probability.
arXiv Detail & Related papers (2021-08-19T15:24:19Z) - Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
Two particles are identical if all their intrinsic properties, such as spin and charge, are the same.
Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles.
We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
arXiv Detail & Related papers (2021-05-10T13:11:59Z) - Quantum Causal Inference in the Presence of Hidden Common Causes: an
Entropic Approach [34.77250498401055]
We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles.
We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
arXiv Detail & Related papers (2021-04-24T22:45:50Z) - Quantum Entropic Causal Inference [30.939150842529052]
We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles.
We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links.
arXiv Detail & Related papers (2021-02-23T15:51:34Z) - Quantum Probability's Algebraic Origin [0.0]
We show that quantum probabilities and classical probabilities have very different origins.
A transition probability that differs from 0 and 1 manifests the typical quantum indeterminacy.
It provides an unexpected access to these quantum probabilities that does not rely on states or wave functions.
arXiv Detail & Related papers (2020-09-17T18:19:41Z) - QuLBIT: Quantum-Like Bayesian Inference Technologies for Cognition and
Decision [0.11470070927586014]
This paper provides the foundations of a unified cognitive decision-making framework (QulBIT) which is derived from quantum theory.
We detail the main modules of the unified framework, the explanatory analysis method, and illustrate their application in situations violating the Sure Thing Principle.
arXiv Detail & Related papers (2020-05-30T09:02:03Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.