QRTLib
Python
Qiskit
Linear Algebra
arXiv:2510.16625
Real-valued transforms such as the discrete cosine, sine, and Hartley transforms play a central role in classical computing, complementing the Fourier transform in applications from signal processing to data compression. QRTLib addresses the gap in quantum computing by providing a unified framework for implementing these transforms efficiently on quantum hardware.
Unified Framework
The first complete implementation of Quantum Hartley, Cosine, and Sine transforms of various types within a single library.
LCU Technique
Introduces a quantum Hartley transform based on Linear Combination of Unitaries, achieving a reduction in circuit size compared to prior methods.
Circuit Optimization
Novel optimization strategies including two's-complement arithmetic and or-tree constructions to remove large multi-controlled operations.
Native Qiskit Support
Built directly for the Qiskit ecosystem, making it easy for researchers and developers to integrate real transforms into their existing quantum algorithms.