Quantum-echo Markov process for combinatorial optimization

arXiv:2609.38943 · quant-ph, cond-mat.dis-nn, cond-mat.stat-mech · Submitted 2026-09-30 · Read on arXiv

quant-ph, cond-mat.dis-nn, cond-mat.stat-mech

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Local Optimization — 31× in this paper · explained in 2 episodes
• Combinatorial Optimization — 9× in this paper · explained in 2 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Unitary Dynamics — 4× in this paper · explained in 2 episodes
• Domain Walls — 3× in this paper · explained in 2 episodes
• Effective Hamiltonian — 3× in this paper · explained in 2 episodes
• Hamming Distance — 3× in this paper · explained in 2 episodes
• Quantum Annealing (QA) — 2× in this paper · explained in 2 episodes
• Adiabatic Evolution — 1× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Hypergraph — 1× in this paper · explained in 2 episodes

Sources

• A Quantum Approximate Optimization Algorithm
• Classical and Quantum Bounded Depth Approximation Algorithms
• The Quantum Approximate Optimization Algorithm Needs to See the Whole Graph: A Typical Case
• The Quantum Approximate Optimization Algorithm Needs to See the Whole Graph: Worst Case Examples
• Quantum Approximate Optimization of Integer Graph Problems and Surpassing Semidefinite Programming for Max-k-Cut
• Analog-Digital Quantum Computing with Quantum Annealing Processors
• Quantum Annealing: a journey through Digitalization, Control, and hybrid Quantum Variational schemes

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