trureturingGitHub MATHEMATICAL ATLAS

Weil / CONCEPT

Weil: Rank Trace

No authored Blueprint abstract is available for this node.

Closed Path-derived label
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES51
PROOF DEPTH2
DOCUMENT LINKS0

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Weil: Hermitian Pos PartWeil: Hermitian Pos PartWeil: Pos IndexWeil: Pos IndexWeil: Von NeumannWeil: Von NeumannWeil: Rank TraceWeil: Rank TraceMinimum Seidel energy of chain graphsMinimum Seidel energy of chaingraphsAudenaert's binary Holevo boundAudenaert's binary Holevo boundProbe Threshold OptimizationProbe Threshold OptimizationRefutation of the local-versus-global Gaussian thermometry conjectureRefutation of the local-versus-global Gaussian thermometryconjectureIn-between states do not always minimize Bayesian transmissivity errorIn-between states do not alwaysminimize Bayesiantransmissivity errorOrdered GNS ProjectionsOrdered GNS ProjectionsCanonical Quantum Channel Data ProcessingCanonical Quantum Channel DataProcessingActual relative modular modelActual relative modular modelQutrit APPT purity for n = 10Qutrit APPT purity for n = 10Qutrit APPT purity for n = 3Qutrit APPT purity for n = 3Qutrit APPT purity for n = 4Qutrit APPT purity for n = 4Qutrit APPT purity for n = 5Qutrit APPT purity for n = 5Qutrit APPT purity for n = 6Qutrit APPT purity for n = 6Qutrit APPT purity for n = 7Qutrit APPT purity for n = 7Qutrit APPT purity for n = 8Qutrit APPT purity for n = 8Qutrit APPT purity for n = 9Qutrit APPT purity for n = 9The quantum gap in hypercube rendezvousThe quantum gap in hypercuberendezvousThe physical Clifford ground sectorThe physical Clifford groundsectorFixed-Pair Convexity of Generalized FidelityFixed-Pair Convexity ofGeneralized FidelityFisher information and the qubit rank alternativeFisher information and thequbit rank alternativePure-qubit affine geometryPure-qubit affine geometryOrder-three Renyi information combiningOrder-three Renyi informationcombiningDensity-independent boundedness in fixed dimensionDensity-independent boundednessin fixed dimensionResolvent derivatives and radial distanceResolvent derivatives andradial distanceAbsoluteTwoIncoherencePurityRefutationAbsoluteTwoIncoherencePurityRefutationAntidistinguishabilitySpectrumAntidistinguishabilitySpectrumBranch-Conditioned Trace DistanceBranch-Conditioned TraceDistanceDetectorSensorDickeOptimalityDetectorSensorDickeOptimalityThe equiprobable pretty-good-measurement comparison of Cha and Lee failsThe equiprobable pretty-good-measurement comparison of Chaand Lee failsExact Conditional Preparation CostExact Conditional PreparationCostFinite Detection Tail BoundFinite Detection Tail BoundFourQubitCompatibilityDegreeFourQubitCompatibilityDegreeUniform Detection Certificate for General InstrumentsUniform Detection Certificatefor General InstrumentsResidual Tail Contraction for General InstrumentsResidual Tail Contraction forGeneral InstrumentsThe sharp Hoggar-SIC sum negativityThe sharp Hoggar-SIC sumnegativityOriginal Single-Terminal Ternary ObstructionOriginal Single-TerminalTernary ObstructionOverlapLowRankDistanceOverlapLowRankDistancePositive Branch Reachability and ResponsePositive Branch Reachabilityand ResponseQuditPartialEstimationTradeoffQuditPartialEstimationTradeoffClifford Path RealizationsClifford Path RealizationsThe original two-swap channelThe original two-swap channelTwoPositiveTransitionTraceTwoPositiveTransitionTraceGuessing probabilityGuessing probabilityThe sharp local-perception CHSH boundThe sharp local-perception CHSHboundThe exact quantum bound for nonlocality depthThe exact quantum bound fornonlocality depthThe Perito Bell bound and its attaining strategyThe Perito Bell bound and itsattaining strategyTightness of the Fixed CHSH WitnessTightness of the Fixed CHSHWitnessThe sharp odd-prime unentangled communication boundThe sharp odd-prime unentangledcommunication boundCompatibility need not imply Jordan compatibilityCompatibility need not implyJordan compatibilityPositive Kraus operators with an entanglement advantagePositive Kraus operators withan entanglement advantageWeil: Lin AlgWeil: Lin Alg
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

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.