chebyshev polynomials 1error bounds 1polynomial approximation 1quantum algorithms 1quantum singular value transform 1
From the 1 of 12 linked papers with an AI index.
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quant-ph2026
Nearly optimal polynomial approximations for the quantum singular value transform
Evan Rule
The paper presents simple Chebyshev‑based polynomial approximations of even and odd step functions on [-1,1] that achieve nearly optimal error, and shows how these can be employed…
quant-ph2026
CaRBM: A Fixed-Depth Quantum Algorithm with Partial Correction for Thermal State Preparation
Omar Alsheikh, A. F. Kemper, Ermal Rrapaj +2
We introduce the CaRBM algorithm for fixed-depth thermal state preparation. Our algorithm is based on thermal state purification and uses the Restricted Boltzmann Machine (RBM) blo…
quant-ph2026
Recursive algorithm for constructing antisymmetric fermionic states in first quantization mapping
E. Rule, I. A. Chernyshev, I. Stetcu +2
We devise a deterministic quantum algorithm to produce antisymmetric states of single-particle orbitals in the first quantization mapping. Unlike sorting-based antisymmetrization a…