Peres–Horodecki criterion

URI: https://gptkb.org/entity/Peres–Horodecki_criterion
GPTKB entity
Statements (24)
Predicate Object
gptkbp:instanceOf quantum information theory concept
gptkbp:allows partial transpose of density matrix is positive, state may be separable or bound entangled
partial transpose of density matrix is not positive, state is entangled
gptkbp:alsoKnownAs gptkb:PPT_criterion
gptkbp:appliesTo quantum entanglement
gptkbp:basisFor partial transposition of density matrix
gptkbp:criteria necessary and sufficient for 2x2 and 2x3 systems
necessary but not sufficient for higher dimensions
gptkbp:describes gptkb:positive_partial_transpose_(PPT)_condition
gptkbp:field gptkb:quantum_information_theory
https://www.w3.org/2000/01/rdf-schema#label Peres–Horodecki criterion
gptkbp:introduced gptkb:Asher_Peres
gptkb:Michał_Horodecki
gptkb:Paweł_Horodecki
gptkb:Ryszard_Horodecki
gptkbp:introducedIn 1996
gptkbp:namedAfter gptkb:Asher_Peres
gptkb:Horodecki_family
gptkbp:publishedIn gptkb:Physical_Review_Letters
gptkbp:relatedTo entanglement detection
quantum separability problem
gptkbp:usedFor determining separability of quantum states
gptkbp:bfsParent gptkb:Asher_Peres
gptkbp:bfsLayer 6