# A Unitary Weights Based One-Iteration Quantum Perceptron Algorithm for Non-Ideal Training Sets

arXiv: https://arxiv.org/abs/2309.14366 · HTML: https://mlsanity.com/paper/2309.14366/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- Builds on 4 of its 38 references that are in the map.
- First posted on arXiv 23 Sep 2023.

## Builds on (most cited first, 4 of 4)

- [Quantum perceptron over a field and neural network architecture selection in a quantum computer](https://mlsanity.com/paper/1602.00709/) (2016)
- [Autonomous Quantum Perceptron Neural Network](https://mlsanity.com/paper/1312.4149/) (2013)
- [Full-Blind Delegating Private Quantum Computation](https://mlsanity.com/paper/2002.00464/) (2020)
- [An Efficient and Secure Arbitrary N-Party Quantum Key Agreement Protocol Using Bell States](https://mlsanity.com/paper/2309.12719/) (2023)

## Built on by (most cited first, 2 of 2)

- [Quantum-Based Feature Selection for Multi-classification Problem in Complex Systems with Edge Computing](https://mlsanity.com/paper/2310.01443/) (2023)
- [Quantum Machine Learning for Colorectal Cancer Data: Anastomotic Leak Classification and Risk Factors](https://mlsanity.com/paper/2604.13951/) (2026)

## Abstract (arXiv)

In order to solve the problem of non-ideal training sets (i.e., the less-complete or over-complete sets) and implement one-iteration learning, a novel efficient quantum perceptron algorithm based on unitary weights is proposed, where the singular value decomposition of the total weight matrix from the training set is calculated to make the weight matrix to be unitary. The example validation of quantum gates {H, S, T, CNOT, Toffoli, Fredkin} shows that our algorithm can accurately implement arbitrary quantum gates within one iteration. The performance comparison between our algorithm and other quantum perceptron algorithms demonstrates the advantages of our algorithm in terms of applicability, accuracy, and availability. For further validating the applicability of our algorithm, a quantum composite gate which consists of several basic quantum gates is also illustrated.