Resource and entanglement study of a hybrid qudit-qubit quantum algorithm for solving the integer programming problem

arXiv:2609.23243 · quant-ph, physics.comp-ph · Submitted 2026-09-19 · Read on arXiv

quant-ph, physics.comp-ph

Submitted: 2026-09-19

Updated: 2026-09-19

Terminology

• Entanglement — 124× in this paper · explained in 3 episodes
• Distillation — 23× in this paper · explained in 2 episodes
• Multipartite Entanglement — 7× in this paper · explained in 2 episodes
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Ancilla Qubits — 4× in this paper · explained in 1 episode
• Fidelity — 4× in this paper · explained in 2 episodes
• Quantum Circuits — 4× in this paper · explained in 2 episodes
• Entanglement Entropy — 3× in this paper · explained in 2 episodes
• Combinatorial Optimization — 2× in this paper · explained in 2 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Stabilizer States — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• All-to-All Connectivity — 1× in this paper · explained in 1 episode
• Ancillary Qubits — 1× in this paper · explained in 1 episode
• Hybrid Approach — 1× in this paper · explained in 4 episodes
• Hybrid System — 1× in this paper · explained in 2 episodes
• Matrix Product State — 1× in this paper
• Operator Entanglement — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

Sources

• Qudit-based scalable quantum algorithm for solving the integer programming problem
• Quantum algorithms: A survey of applications and end-to-end complexities
• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• A Review of Galois Qudits
• Generalised Quantum Gates for Qudits and their Application in Quantum Fourier Transform
• Exploring the Potential of Qutrits for Quantum Optimization of Graph Coloring
• On the CNOT-cost of TOFFOLI gates
• Comparison of memory thresholds for planar qudit geometries
• Classical Simulability from Operator Entanglement Scaling

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