A Square-Root Barrier to Quantum Gate Speed under Linear Coupling

arXiv:2609.19280 · quant-ph, math-ph, math.MP, physics.comp-ph · Submitted 2026-09-16 · Read on arXiv

quant-ph, math-ph, math.MP, physics.comp-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Comments: 5 + 29 pages

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

Terminology

• Fidelity — 21× in this paper · explained in 2 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Entanglement — 5× in this paper · explained in 3 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Core — 3× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adaptation — 1× in this paper · explained in 1 episode
• Embeddings — 1× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes

Sources

• Quantum Frequential Computing: a quadratic runtime advantage for all computations

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