Degree Balance as a Fine-Grained Complexity Boundary for Quantum SAT

arXiv:2609.36464 · quant-ph, cs.CC, cs.DS · Submitted 2026-09-29 · Read on arXiv

quant-ph, cs.CC, cs.DS

Submitted: 2026-09-29

Updated: 2026-09-29

Comments: 40 pages

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Frustration — 26× in this paper · explained in 2 episodes
• Verification — 15× in this paper · explained in 2 episodes
• Ancilla Qubits — 14× in this paper · explained in 1 episode
• Hilbert Space — 6× in this paper · explained in 2 episodes
• Strong Exponential Time Hypothesis — 5× in this paper
• Effective Hamiltonian — 2× in this paper · explained in 2 episodes
• Pruning — 1× in this paper · explained in 4 episodes
• Sparsity — 1× in this paper · explained in 4 episodes

Sources

• Efficient algorithm for a quantum analogue of 2-SAT
• Quantum Computing: Lecture Notes
• Dequantizing Short-Path Quantum Algorithms
• Achieving perfect completeness for one- and two-message quantum proof systems

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