Quantum Query Advantage Requires Space

arXiv:2609.29497 · quant-ph, cs.CC · Submitted 2026-09-04 · Read on arXiv

quant-ph, cs.CC

Submitted: 2026-09-04

Updated: 2026-10-02

Comments: 21 pages, update introduction and fix grammar mistakes

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

Terminology

• Query Complexity — 16× in this paper · explained in 2 episodes
• Foundations of Computer Science — 1× in this paper
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Quantum Query-Space Lower Bounds Using Branching Programs
• On the Need for (Quantum) Memory with Short Outputs

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