trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

Pure-qubit affine geometry

A rank-two affine measurement of a pure qubit curve has a strict arc parametrization.

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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES16
PROOF DEPTH3
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THEOREM

Trace of a Bloch matrix

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Finite Density States and Quantum ChannelsFinite Density States andQuantum ChannelsWeil: Rank TraceWeil: Rank TracePure-qubit affine geometryPure-qubit affine geometryA triangle inequality fails for unified-entropy correlationsA triangle inequality fails forunified-entropy correlationsThe sharp A|BC constant of the GHZ measureThe sharp A|BC constant of theGHZ measureFormationBoundsFormationBoundsThe fully entangled fraction and the steering-ellipsoid centreThe fully entangled fractionand the steering-ellipsoidcentreRefutation of the geometric tangle ansatzRefutation of the geometrictangle ansatzFisher information and the qubit rank alternativeFisher information and thequbit rank alternativeActual pure-qubit upper familyActual pure-qubit upper familySigned amplitude mixturesSigned amplitude mixturesStrict separation of measured and Uhlmann average fidelitiesStrict separation of measuredand Uhlmann average fidelitiesHermitian SLD energyHermitian SLD energyNumerical ranges and compressionNumerical ranges andcompressionFourQubitParentConstructionFourQubitParentConstructionAn identity ancilla defeats maximal measurement coherence monotonicityAn identity ancilla defeatsmaximal measurement coherencemonotonicityExact Riemannian contraction coefficients of a qubit CQ channelExact Riemannian contractioncoefficients of a qubit CQchannelFiniteLocalLatitudeGeometryFiniteLocalLatitudeGeometryThree-weight Pauli channels have Bayesian inverses only at the maximally mixed stateThree-weight Pauli channelshave Bayesian inverses only atthe maximally mixed state
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