ancilla-free algorithms 1Hamiltonian simulation 1nested commutators 1product formulas 1trotter error compensation 1
From the 1 of 3 linked papers with an AI index.
3 papers
quant-ph2026
Trotter error compensation with polylogarithmic precision and nested-commutator scaling without ancillas
Xinzhao Wang, Shuo Zhou, Ziruo Wang +5
The paper introduces a high‑order nested‑commutator compensation (HNCC) algorithm that reduces the circuit size needed for Hamiltonian simulation to polylogarithmic dependence on p…
quant-ph2025
Quantum Hamiltonian Certification
Minbo Gao, Zhengfeng Ji, Qisheng Wang +2
We formalize and study the Hamiltonian certification problem. Given access to for an unknown Hamiltonian , the goal of the problem is to determine whether $…
quant-ph2025
Simple and high-precision Hamiltonian simulation by compensating Trotter error with linear combination of unitary operations
Pei Zeng, Jinzhao Sun, Liang Jiang +1
Trotter and linear-combination-of-unitary (LCU) are two popular Hamiltonian simulation methods. We propose Hamiltonian simulation algorithms using LCU to compensate Trotter error,…