trureturingGitHub MATHEMATICAL ATLAS

QuantumBounds / CONCEPT

The sharp odd-prime unentangled communication bound

For every odd prime dimension, unentangled quantum messages have sharp average success probability 2/(d + 1), including finite mixtures with shared classical randomness.

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DIRECT PREREQUISITES5
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THEOREM

The sharp bound holds in every odd prime dimension

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Full Bispectrum StabilityFull Bispectrum StabilitySparse Generator FamilySparse Generator FamilyThe Gurvits--Barnum separable ballThe Gurvits--Barnum separableballCartesian varianceCartesian varianceWeil: Rank TraceWeil: Rank TraceThe sharp odd-prime unentangled communication boundThe sharp odd-prime unentangledcommunication bound
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Lean sourceResearch workspace
Status
Closed
Depth
7
Layer
D5/S3
Domain
QuantumBounds
Node ID
D5/S3/QuantumBounds/UnentangledOddPrimeCommunication
Repository path
D5/S3/QuantumBounds/UnentangledOddPrimeCommunication.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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