trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Basis-Measurement Projection

Basis measurement is the orthogonal projection onto diagonal Hermitian operators, including on the trace-zero carrier.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES8
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

Basis measurement is the sum of its trace coordinates

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Unread-State Orthogonal ProjectionUnread-State OrthogonalProjectionRank-One Context CommutatorRank-One Context CommutatorBasis-Measurement ProjectionBasis-Measurement ProjectionPrime-Time Gramian Energy IdentityPrime-Time Gramian EnergyIdentityVon Neumann Entropy Under Basis PinchingVon Neumann Entropy Under BasisPinchingBipartite Hermitian Sector DecompositionBipartite Hermitian SectorDecompositionReal Copy Statistics and ConjugationReal Copy Statistics andConjugationFinite Zeta Thermal States Are Fixed by Basis PinchingFinite Zeta Thermal States AreFixed by Basis PinchingFinite-Time Observer MonotonicityFinite-Time ObserverMonotonicityAmending coherence-breaking iterates with one unitaryAmending coherence-breakingiterates with one unitaryPurity Pythagoras DecompositionPurity Pythagoras Decomposition
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

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Measurement/BasisMeasurementProjection
Repository path
D5/S3/Quantum/Measurement/BasisMeasurementProjection.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.