trureturingGitHub MATHEMATICAL ATLAS

QuantumBounds / CONCEPT

Deterministic violations under an energy constraint

Qubit channels give a strict deterministic-input violation of the separable energy bound for every positive energy budget below one half.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES0
PROOF DEPTH20
DOCUMENT LINKS0
THEOREM

A qubit construction for the whole open interval

RELATIONSHIP ATLAS

Every connection, in context.

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Direct recorded relationships
Reflected-Pair Curvature Rayleigh IntertwinerReflected-Pair CurvatureRayleigh IntertwinerSeparable states outside every local-unitary stabilizer frameSeparable states outside everylocal-unitary stabilizer frameEquivalence of PPT-squared and IPT-squaredEquivalence of PPT-squared andIPT-squaredMutually Unbiased Diagonal PlanesMutually Unbiased DiagonalPlanesDeterministic violations under an energy constraintDeterministic violations underan energy constraint
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

None recorded in this release.

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
20
Layer
D5/S3
Domain
QuantumBounds
Node ID
D5/S3/QuantumBounds/EnergyConstrainedDeterministicViolation
Repository path
D5/S3/QuantumBounds/EnergyConstrainedDeterministicViolation.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.