trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Bipartite Hermitian Sector Decomposition

Traceless bipartite Hermitian tensors split into three orthogonal sectors.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES19
PROOF DEPTH4
DOCUMENT LINKS1
THEOREM

The bipartite traceless space splits into three orthogonal sectors

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Basis-Measurement ProjectionBasis-Measurement ProjectionBipartite Hermitian Sector DecompositionBipartite Hermitian SectorDecompositionFinite-Time Tomography SaturationFinite-Time TomographySaturationSequential Word Observation ResidualSequential Word ObservationResidualControlled Observable CompletionControlled ObservableCompletionLocal B Readout Residual DimensionLocal B Readout ResidualDimensionThe Correlation Blind Spot of Local MarginalsThe Correlation Blind Spot ofLocal MarginalsSingle-Prime Visible SpaceSingle-Prime Visible SpaceFive-mode local density fibresFive-mode local density fibresFive-Mode Real Response FibersFive-Mode Real Response FibersFinite Closure of Continuation Effect SpacesFinite Closure of ContinuationEffect SpacesFinite Closure of First-Event Effect SpacesFinite Closure of First-EventEffect SpacesJoint Observer Visible Space and ResidualJoint Observer Visible Spaceand ResidualSingle-Context Visible and Remainder DimensionsSingle-Context Visible andRemainder DimensionsVisible State-Space DimensionVisible State-Space DimensionMultifactor Correlation Sector DecompositionMultifactor Correlation SectorDecompositionFinite Stability Depth of the Centered-Effect TowerFinite Stability Depth of theCentered-Effect TowerFinite Prime-Time CertificateFinite Prime-Time CertificateFinite-Time Observer MonotonicityFinite-Time ObserverMonotonicityLocal Dynamics Do Not Complete TomographyLocal Dynamics Do Not CompleteTomographyInformational Completeness EquivalenceInformational CompletenessEquivalence
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
4
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/Entanglement/BipartiteSectorDecomposition
Repository path
D5/S3/Quantum/Entanglement/BipartiteSectorDecomposition.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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