trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Hermitian SLD energy

Density matrices and spectral energy of symmetric logarithmic derivatives.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES31
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THEOREM

Energy in a specified diagonal basis

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Pure-qubit affine geometryPure-qubit affine geometryHermitian SLD energyHermitian SLD energyTwo unbounded entanglement gaps with one qubitTwo unbounded entanglement gapswith one qubitCotfas discrete Gaussian positivityCotfas discrete GaussianpositivityComparison of the two unified imaginarity measuresComparison of the two unifiedimaginarity measuresThe sharp A|BC constant of the GHZ measureThe sharp A|BC constant of theGHZ measureA closest separable state need not have the proposed X-MEMS shapeA closest separable state neednot have the proposed X-MEMSshapeFailure of partial-negativity subadditivityFailure of partial-negativitysubadditivitySinglet padding and the universal precession thresholdSinglet padding and theuniversal precession thresholdThe qutrit Weyl--Bloch one-normThe qutrit Weyl--Bloch one-normOptimal witnesses with an optimal sumOptimal witnesses with anoptimal sumAn entangled completely symmetric three-qutrit density matrixAn entangled completelysymmetric three-qutrit densitymatrixFisher information and the qubit rank alternativeFisher information and thequbit rank alternativeActual pure-qubit upper familyActual pure-qubit upper familySigned amplitude mixturesSigned amplitude mixturesFisher discord conventionsFisher discord conventionsA mixed-state KD-real SLD counterexampleA mixed-state KD-real SLDcounterexampleOrder-three Renyi information combiningOrder-three Renyi informationcombiningNo single polynomial inequality characterizes bipartite separabilityNo single polynomial inequalitycharacterizes bipartiteseparabilitySignalling-game value equalitySignalling-game value equalityA mixed-state refutation of skew-coherence polygamyA mixed-state refutation ofskew-coherence polygamyThree-qubit stabilizer polar elementsThree-qubit stabilizer polarelementsAbsoluteTwoIncoherencePurityRefutationAbsoluteTwoIncoherencePurityRefutationThe quantum coherence fraction can increase under incoherent operationsThe quantum coherence fractioncan increase under incoherentoperationsPartial tightness of the multipartite entangled-measurement boundPartial tightness of themultipartite entangled-measurement boundBroadcasting channels need have neither extremumBroadcasting channels need haveneither extremumThe spatiotemporal Born rule dichotomyThe spatiotemporal Born ruledichotomyRobustness of ancilla-free testersRobustness of ancilla-freetestersPure covariant programs do not match the mixed dimensionPure covariant programs do notmatch the mixed dimensionLog-negativity capacity depends on the input resourceLog-negativity capacity dependson the input resourceThe open quantum walk hitting-time formula is falseThe open quantum walk hitting-time formula is falseA cooling transition with no ground-space thermal realizationA cooling transition with noground-space thermalrealizationPositive Kraus operators with an entanglement advantagePositive Kraus operators withan entanglement advantage
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