From the 1 of 4 linked papers with an AI index.
4 papers
Approximate sampling from decoded quantum interferometry via Markov chain Monte Carlo methods
Elies Gil-Fuster, Matan Ninio, Lennart Bittel +4
The paper investigates whether classical Markov chain Monte Carlo methods, especially block‑Gibbs sampling, can reproduce the optimization performance of decoded quantum interferom…
Efficient Fourier-Based Linear Combination of Unitaries and Applications in Quantum Optimization
Almudena Carrera Vazquez, Daniel J. Egger, Stefan Woerner
We investigate ancilla-free linear combination of unitaries (LCU) as a framework for approximating complex quantum circuits. This is particularly effective for quantum optimization…
Spectral Gaps with Quantum Counting Queries and Oblivious State Preparation
Almudena Carrera Vazquez, Aleksandros Sobczyk
Approximating the -th spectral gap and the corresponding midpoint of an Hermitian matrix with eigenvalues $λ_1…
Quantum chemistry with provable convergence via randomized sample-based Krylov quantum diagonalization
Samuele Piccinelli, Alberto Baiardi, Stefano Barison +12
Quantum algorithms based on classical processing of individual samples have recently emerged as the most effective and robust methods to approximate ground-state wave functions of…