quantum-signal-processing

What problem does it solve?

Enables construction and understanding of quantum signal processing (QSP) algorithms to transform eigenvalues and simulate Hamiltonians using phase sequences, with a focus on educational demonstration and practical experimentation.

Core Features & Use Cases

• Phase-optimized single-qubit QSP circuit construction using W(x) = Rx(2 arccos(x)) interleaved with Rz gates.
• Classical phase optimization via L-BFGS-B to approximate target functions like e^{-i τ x} for given τ.
• End-to-end workflow: circuit construction, statevector simulation, error analysis, and SVG circuit export for visualization.
• Educational demonstrations across quantum algorithms, including QSP for Hamiltonian simulation and polynomial transforms.

Quick Start

Run the QSP example by invoking QSPAlgorithm with your target_tau, degree, and x_value and inspect the resulting circuit diagram and error.