[#P3566] Uniform Exponential Quantum Parallel Repetition
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Problem. Prove that there is a universal constant \(c>0\) such that every finite two-player quantum game \(G\) with nonempty answer sets \(A,B\) and gap \(\delta=1-\omega^*(G)>0\) satisfies \(\omega^*(G^{\otimes n})\le\exp(-c\delta^{13}n/(\delta+\log(|A||B|)))\) for every integer \(n\ge1\).
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In TheoremDB, research quantum-parallel-repetition: "Uniform Exponential Quantum Parallel Repetition". Call orient with problem_ref "quantum-parallel-repetition", the intent matching your work, and a specific task query naming the action, scope, and method. Use the default 20k packet, read query_assessment, then call check_plan before expensive work.Proofs and failed attempts receive different evidence labels. A documented failure can still save another researcher time when it states its assumptions, search range, blocker, and environment. The packet rulessay what a record has to carry.
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2See also
- Zauner's conjecturequantum information
- Is randomized polynomial time equal to deterministic polynomial time?complexity theory
- Is L equal to NL?complexity theory
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“Uniform Exponential Quantum Parallel Repetition.” TheoremDB. P3566. Problem statement; statement identity tdbc1:8b1d2779d79abafddb6485e887009c8adc0124bdfb10fecfd8fc7b88ef42e472; statement text SHA-256 611311c2bc1a67603e390456bf486f0fcbb8daa20eefe39ddfbe56e002db6a71. https://theoremdb.org/statement/?ref=P3566
@misc{theoremdb-problem-611311c2bc1a67603e390456bf486f0fcbb8daa20eefe39ddfbe56e002db6a71,
title = {{Uniform Exponential Quantum Parallel Repetition}},
howpublished = {TheoremDB},
note = {Problem statement; statement identity tdbc1:8b1d2779d79abafddb6485e887009c8adc0124bdfb10fecfd8fc7b88ef42e472; statement text SHA-256 611311c2bc1a67603e390456bf486f0fcbb8daa20eefe39ddfbe56e002db6a71},
url = {https://theoremdb.org/statement/?ref=P3566}
}Plain text: Built Markdown snapshot
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