Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

A review on quantum approximate optimization algorithm and its variants

K Blekos, D Brand, A Ceschini, CH Chou, RH Li… - Physics Reports, 2024 - Elsevier
Abstract The Quantum Approximate Optimization Algorithm (QAOA) is a highly promising
variational quantum algorithm that aims to solve combinatorial optimization problems that …

From the quantum approximate optimization algorithm to a quantum alternating operator ansatz

S Hadfield, Z Wang, B O'gorman, EG Rieffel… - Algorithms, 2019 - mdpi.com
The next few years will be exciting as prototype universal quantum processors emerge,
enabling the implementation of a wider variety of algorithms. Of particular interest are …

Performance of the quantum approximate optimization algorithm on the maximum cut problem

GE Crooks - arXiv preprint arXiv:1811.08419, 2018 - arxiv.org
The Quantum Approximate Optimization Algorithm (QAOA) is a promising approach for
programming a near-term gate-based hybrid quantum computer to find good approximate …

Entanglement perspective on the quantum approximate optimization algorithm

M Dupont, N Didier, MJ Hodson, JE Moore, MJ Reagor - Physical Review A, 2022 - APS
Many quantum algorithms seek to output a specific bitstring solving the problem of interest—
or a few if the solution is degenerate. It is the case for the quantum approximate optimization …

Beating classical heuristics for the binary paint shop problem with the quantum approximate optimization algorithm

M Streif, S Yarkoni, A Skolik, F Neukart, M Leib - Physical Review A, 2021 - APS
The binary paint shop problem (BPSP) is an APX-hard optimization problem of the
automotive industry. In this work, we show how to use the quantum approximate optimization …

Quantum optimization via four-body Rydberg gates

C Dlaska, K Ender, GB Mbeng, A Kruckenhauser… - Physical Review Letters, 2022 - APS
A large ongoing research effort focuses on obtaining a quantum advantage in the solution of
combinatorial optimization problems on near-term quantum devices. A particularly promising …

Two-Dimensional Lattice Gauge Theory on a Near-Term Quantum Simulator: Variational Quantum Optimization, Confinement, and Topological Order

L Lumia, P Torta, GB Mbeng, GE Santoro, E Ercolessi… - PRX Quantum, 2022 - APS
We propose an implementation of a two-dimensional Z 2 lattice gauge theory model on a
shallow quantum circuit, involving a number of single-and two-qubit gates comparable to …

Circuit depth reduction for gate-model quantum computers

L Gyongyosi, S Imre - Scientific reports, 2020 - nature.com
Quantum computers utilize the fundamentals of quantum mechanics to solve computational
problems more efficiently than traditional computers. Gate-model quantum computers are …

Universal parity quantum computing

M Fellner, A Messinger, K Ender, W Lechner - Physical Review Letters, 2022 - APS
We propose a universal gate set for quantum computing with all-to-all connectivity and
intrinsic robustness to bit-flip errors based on parity encoding. We show that logical …