trureturingGitHub MATHEMATICAL ATLAS

QuantumChannels / CONCEPT

ChannelTimeReversalNoGo

Randomisation and complete positivity obstruct reversal of every unitary channel.

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DIRECT PREREQUISITES12
DIRECT CONSEQUENCES3
PROOF DEPTH21
DOCUMENT LINKS0
THEOREM

Pauli spectral projectors are positive semidefinite

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Physical EJM Source NoisePhysical EJM Source NoiseFormationBoundsFormationBoundsThe fully entangled fraction and the steering-ellipsoid centreThe fully entangled fractionand the steering-ellipsoidcentreRank-One Feedback and the First ReadRank-One Feedback and the FirstReadOrder-three Renyi information combiningOrder-three Renyi informationcombiningA stabilizer measurement beyond every maximally entangled oneA stabilizer measurement beyondevery maximally entangled oneEquivalence of PPT-squared and IPT-squaredEquivalence of PPT-squared andIPT-squaredA qutrit obstruction to positive/CP factorization of the channel transposeA qutrit obstruction topositive/CP factorization ofthe channel transposeThe Choi spectrum of unital product-unitary-equivariant mapsThe Choi spectrum of unitalproduct-unitary-equivariantmapsBinomial and kappa states do not exhaust truncated entropy minimizersBinomial and kappa states donot exhaust truncated entropyminimizersThe two-copy Haar moment and its local ruleThe two-copy Haar moment andits local ruleThree-weight Pauli channels have Bayesian inverses only at the maximally mixed stateThree-weight Pauli channelshave Bayesian inverses only atthe maximally mixed stateChannelTimeReversalNoGoChannelTimeReversalNoGoExact Hilbert-Schmidt distances of noisy Smolin statesExact Hilbert-Schmidt distancesof noisy Smolin statesMixed-unitary channels and marginal pinchingMixed-unitary channels andmarginal pinchingSpin covariance and Dicke coordinatesSpin covariance and Dickecoordinates
Proof dependencyStructural affinityDocument link

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