Benchmark

Quantum Knapsack Problem Benchmark

QAOA / Copula-QAOA / AAM-QAOA · Optimization · 20 qubits · Qiskit, PennyLane

Benchmark of quantum optimization algorithms applied to the knapsack problem, a fundamental NP-hard constrained combinatorial optimization problem. Recent advances include copula-QAOA for hardware-efficient constraint handling and Amplitude Amplification-mixer QAOA (AAM-QAOA), which uses a quantum tree generator for feasible-solution state preparation. Benchmark sets test instances with up to 20 items.

knapsackconstrained-optimizationQAOAcombinatorialNISQ

Benchmark of quantum optimization algorithms applied to the knapsack problem, a fundamental NP-hard constrained combinatorial optimization problem. Recent advances include copula-QAOA for hardware-efficient constraint handling and Amplitude Amplification-mixer QAOA (AAM-QAOA), which uses a quantum tree generator for feasible-solution state preparation. Benchmark sets test instances with up to 20 items.

Key Metrics
Max problem size
20 items
Best approach
AAM-QAOA with quantum tree generator
Why It Matters

Advances constrained combinatorial optimization by demonstrating hardware-efficient feasible-solution state preparation for NP-hard problems.

Hardware

Simulator / hardware-agnostic

Framework

Qiskit, PennyLane