# Scalable quantum circuits for n-qubit unitary matrices

arXiv: https://arxiv.org/abs/2304.14096 · HTML: https://mlsanity.com/paper/2304.14096/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 27 Apr 2023.

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

- [Quantum State Preparation with the QNN-based SRBB Algorithm](https://mlsanity.com/paper/2503.13647/) (2025)
- [A Novel Single-Layer Quantum Neural Network for Approximate SRBB-Based Unitary Synthesis](https://mlsanity.com/paper/2412.03083/) (2024)

## Abstract (arXiv)

This work presents an optimization-based scalable quantum neural network framework for approximating n-qubit unitaries through generic parametric representation of unitaries, which are obtained as product of exponential of basis elements of a new basis that we propose as an alternative to Pauli string basis. We call this basis as the Standard Recursive Block Basis, which is constructed using a recursive method, and its elements are permutation-similar to block Hermitian unitary matrices.