From the 1 of 11 linked papers with an AI index.
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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…
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…
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…
Simplified projection on total spin zero for state preparation on quantum computers
Evan Rule, Ionel Stetcu, Joseph Carlson
We introduce a simple algorithm for projecting on states of a many-body system by performing a series of rotations to remove states with angular momentum projections greater…