Walsh-Transform Realization of Dense-to-Sparse Quantum State Preparation

arXiv:2609.28760 · quant-ph · Submitted 2026-09-23 · Read on arXiv

quant-ph

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Accuracy — 12× in this paper · explained in 1 episode
• Benchmark — 11× in this paper · explained in 2 episodes
• Sparsity — 10× in this paper · explained in 4 episodes
• Quantum Circuits — 4× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Trace Distance — 3× in this paper · explained in 3 episodes
• Algorithmic Primitives — 1× in this paper · explained in 1 episode
• Ambient Dimension — 1× in this paper · explained in 1 episode
• Ancillary Qubits — 1× in this paper · explained in 1 episode
• Approximate Amplitude Encoding — 1× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 4 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Wavelet Transform — 1× in this paper · explained in 2 episodes

Sources

• Efficient quantum state preparation of multivariate functions using tensor networks
• Hybrid Quantum State Preparation via Data Compression
• Nearly Optimal Circuit Size for Sparse Quantum State Preparation
• Hybrid Quantum Image Preparation via JPEG Compression

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity