mlsanityData to 14 Oct 2026

BF-QC: Belief Functions on Quantum Circuits

arXiv 2107.03930 ↗First posted 8 Jul 2021quant-ph cs.AIcited by 2

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Abstract (arXiv)

Dempster-Shafer Theory (DST) of belief function is a basic theory of artificial intelligence, which can represent the underlying knowledge more reasonably than Probability Theory (ProbT). Because of the computation complexity exploding exponentially with the increasing number of elements, the practical application scenarios of DST are limited. In this paper, we encode Basic Belief Assignments (BBA) into quantum superposition states and propose the implementation and operation methods of BBA on quantum circuits. We decrease the computation complexity of the matrix evolution on BBA (MEoB) on quantum circuits. Based on the MEoB, we realize the quantum belief functions' implementation, the similarity measurements of BBAs, evidence Combination Rules (CR), and probability transformation on quantum circuits.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 5 of its 81 references that are in the map. First posted on arXiv 8 Jul 2021.

Builds on

5 of 81 references.

References · 5

  1. 2016Quantum Machine Learningcited by 326
  2. 2014Quantum Inference on Bayesian Networkscited by 19
  3. 2018Logistic Regression, Neural Networks and Dempster-Shafer Theory: a New Perspectivecited by 11
  4. 2017Expert Opinion Extraction from a Biomedical Databasecited by 7
  5. 2020Quantum circuit representation of Bayesian networkscited by 7

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Citing papers per year: 2024: 1; 2025: 1.

2 papers.

  1. 2025Epistemic Artificial Intelligence is Essential for Machine Learning Models to Truly 'Know When They Do Not Know'cited by 8
  2. 2024Quantum Information Fusion and Correction under the Transferable Belief Modelcited by 0

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  6. 2026When Quantum Meets AI: Quantum Methods for Machine Learning and Machine Learning Methods for Quantum Systems
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