Quantum / CONCEPT
Purity Pythagoras Decomposition
Pairwise orthogonal basis measurements split density-matrix purity excess into visible probability energy and orthogonal residual mass.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES3
PROOF DEPTH4
DOCUMENT LINKS0
The complex matrix inner product is a trace pairing
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- An explicit rate for the fixed controlstructural-affinity · Closed
- Basis-Measurement Projectionstructural-affinity · Closed
- Complete Context Collision Conservationstructural-affinity · Closed
- Complete Context Purity Identitiesstructural-affinity · Closed
- Finite Prime-Time Rectangle Certificatestructural-affinity · Closed
- Finite-Time Tomography Saturationstructural-affinity · Closed
- Future Words and Orthogonal Residualsstructural-affinity · Closed
- Gerzon equality without dimension congruence restrictionsstructural-affinity · Closed
- Orthogonal Projections onto Complementary Subspacesstructural-affinity · Closed
- Prime-Time Gramian Energy Identitystructural-affinity · Closed
- Schmidt-number bounds for incomplete equiangular measurementsstructural-affinity · Closed
- Spin-1 tensor spin-K/2 precession separable boundstructural-affinity · Closed
- Trace Readout Fibers and Orthogonal Residualsstructural-affinity · Closed
- Trace-Zero Hermitian Readout Fibersstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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