Mixers Archives - IEEE Transactions on Quantum Engineering

Equivariant Quantum Approximate Optimization Algorithm

January 16, 2026Boris Tsvelikhovskiy, Ilya Safro, Yuri AlexeevQuantum ComputingApproximation algorithms, Heuristic algorithms, Linear programming, Machine learning algorithms, Mixers, Optimization, Partitioning algorithms, Quantum circuit, Standards, Stationary state

Abstract: Constructing effective mixer Hamiltonians is essential for enhancing the performance of the quantum approximate optimization algorithm (QAOA) in solving combinatorial optimization problems. In this work, we develop a systematic methodology for designing QAOA mixers that align with the symmetries of the classical objective function, with the goal of achieving values (mean, median, and minimum […]

Quantum Approximate Bayesian Optimization Algorithms With Two Mixers and Uncertainty Quantification

The searching efficiency of the quantum approximate optimization algorithm is dependent on both the classical and quantum sides of the algorithm. Recently, a quantum approximate Bayesian optimization algorithm (QABOA) that includes two mixers was developed, where surrogate-based Bayesian optimization is applied to improve the sampling efficiency of the classical optimizer. A continuous-time quantum walk mixer […]