QRTlib: A Library for Fast Quantum Real Transforms
Armin Ahmadkhaniha, Chen, Lu, Jake Doliskani, Zhifu Sun · arXiv (Cornell University) · 2025
# QRTlib This library implements **Quantum Real Transforms (QRTs)**, including: - **Quantum Hartley Transform (QHT)** - *Approach 1:* Recursive QHT proposed in [1]. - *Approach 2:* Using Linear Combination of Unitaries (LCU) proposed in [2]. - **Quantum Sine and Cosine Transforms** - *Approach:* Optimized implementation of [3]. - *Types:* - Quantum Sine and Cosine Transform type I - Quantum Sine and Cosine Transform type II - Quantum Sine and Cosine Transform type III - Quantum Sine and Cosine Transform type IV --- ## Installation To install dependencies: ```bash pip install -r requirements.txt ``` ## Usage example The following snippet adds Quantum Hartley Transform (QHT) to your circuit using LCU method: - *Notes:* For recursive method one can use (`type="REC"`). ```python from qiskit import QuantumCircuit from QHTGate import QHTGate # Example for quantum hartley transform of using LCU method for 4 qubits gate = QHTGate(4, type="LCU") qc = QuantumCircuit(8) qc.append(gate, list(range(8))) ``` ## References [1] Doliskani, Jake and Mirzaei, Morteza and Mousavi, Ali. "Public-key quantum money and fast real transforms". (2025) [2] Ahmadkhaniha, Armin and Doliskani, Jake and Chen, Lu and Sun, Zhifu. "QRTlib: A Library for Fast Quantum Real Transforms". (2025) [3] Klappenecker, Andreas and Rotteler, Martin. "Discrete cosine transforms on quantum computers". (2001)