trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Finite-Dimensional Quantum Skeletons

Finite-dimensional Pauli, no-character, and trace-probability skeletons.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES30
PROOF DEPTH0
DOCUMENT LINKS0
THEOREM

The standard qubit Weyl pair has the Pauli star skeleton

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Finite-Dimensional Quantum SkeletonsFinite-Dimensional QuantumSkeletonsReflected-Pair Curvature Rayleigh IntertwinerReflected-Pair CurvatureRayleigh IntertwinerDuality InsufficiencyDuality InsufficiencyGaussian atemporality implies entanglementGaussian atemporality impliesentanglementOrdered-Prime Holonomy CasimirOrdered-Prime Holonomy CasimirFinite Record ConditioningFinite Record ConditioningAddress-Record Correlation MonogamyAddress-Record CorrelationMonogamyConservation And Autonomy Are DistinctConservation And Autonomy AreDistinctProjection Probability FlowProjection Probability FlowNon-cyclic periodic Fredkin eigenstates are annihilatedNon-cyclic periodic Fredkineigenstates are annihilatedUnitary entanglement assistance under a vacuum energy restrictionUnitary entanglement assistanceunder a vacuum energyrestrictionThe minimum of purity plus time-reversal overlapThe minimum of purity plustime-reversal overlapThe fully entangled fraction and the steering-ellipsoid centreThe fully entangled fractionand the steering-ellipsoidcentreCanonicalRdmAndPaddingCanonicalRdmAndPaddingPartial trace can increase Fisher discordPartial trace can increaseFisher discordPurify-and-clone is not optimal for one-site worst-case riskPurify-and-clone is not optimalfor one-site worst-case riskLocal-unitary inequivalence of two weight-isometric pairs of stabilizer codesLocal-unitary inequivalence oftwo weight-isometric pairs ofstabilizer codesDensity-independent boundedness in fixed dimensionDensity-independent boundednessin fixed dimensionSpectral powers and matrix positivitySpectral powers and matrixpositivityOriginal Single-Terminal Ternary ObstructionOriginal Single-TerminalTernary ObstructionClifford Path RealizationsClifford Path RealizationsDeterministic Readout CommutativityDeterministic ReadoutCommutativityWeighted crown spectral boundWeighted crown spectral boundExact Riemannian contraction coefficients of a qubit CQ channelExact Riemannian contractioncoefficients of a qubit CQchannelPauli-weight expansion and alternating truncation bounds for qubit SIC k-fidelitiesPauli-weight expansion andalternating truncation boundsfor qubit SIC k-fidelitiesWassersteinComplexityNonconvexWassersteinComplexityNonconvexQubit Witness SkeletonsQubit Witness SkeletonsA strong-subadditivity counterexample for subentropyA strong-subadditivitycounterexample for subentropyPositive Kraus operators with an entanglement advantagePositive Kraus operators withan entanglement advantageAn Exact Qutrit Quartic-Context WitnessAn Exact Qutrit Quartic-ContextWitnessA quantum behavior with rank of contextuality threeA quantum behavior with rank ofcontextuality three
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

None recorded in this release.

Certified topology / DOWNSTREAM

Consequences

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

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.