trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Equal Gram Unitary Extension

Equal complex column Gram matrices admit a unitary taking one rectangular matrix to the other.

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DIRECT PREREQUISITES0
DIRECT CONSEQUENCES4
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

One unitary on the whole common codomain

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Equal Gram Unitary ExtensionEqual Gram Unitary ExtensionConditional min-entropy of noisy unitariesConditional min-entropy ofnoisy unitariesAll qubit maximizers of the imaginary Bargmann invariantAll qubit maximizers of theimaginary Bargmann invariantCommutator gap and scalar translationCommutator gap and scalartranslationStationary Occupation AttainmentStationary OccupationAttainment
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Algebra/GramUnitaryExtension
Repository path
D5/S3/Quantum/Algebra/GramUnitaryExtension.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.