Work

Function extraction via Chebyshev interpolation of quantum integral estimates

Year: 2026

Type: article

Abstract: We present an algorithm for extracting a smooth, positive-definite function ψ ( x ) encoded in a quantum state vector of size 2 n , while avoiding exponentially suppressed subnormalization of a naive extraction step. The method addresses a known limitation in quantum algorithms for differential equations, namely, the efficient retrieval of classical information from quantum-encoded solutions. It applies to settings where the target solution is smooth and positive definite, such as certain instances of the heat equation and related diffusive models arising in fluid dynamics and finance.

Source: Physical Review Research

DOI: 10.1103/r6xs-236q

Author: Gumaro Rendón

Institution: Fujitsu (United States)

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,625

Funder: Fujitsu Laboratories of America