positive partial transpose (PPT) condition

URI: https://gptkb.org/entity/positive_partial_transpose_(PPT)_condition
GPTKB entity
Statements (26)
Predicate Object
gptkbp:instanceOf quantum information theory concept
gptkbp:alsoKnownAs gptkb:Peres–Horodecki_criterion
gptkbp:appliesTo quantum states
gptkbp:criteria entanglement
separability
gptkbp:describes separability of quantum states
gptkbp:failsFor some entangled states in higher dimensions (bound entangled states)
gptkbp:field gptkb:quantum_information_theory
https://www.w3.org/2000/01/rdf-schema#label positive partial transpose (PPT) condition
gptkbp:introduced gptkb:Asher_Peres
gptkb:Michał_Horodecki
gptkb:Paweł_Horodecki
gptkb:Ryszard_Horodecki
gptkbp:introducedIn 1996
gptkbp:mathematicalOperation partial transposition of density matrix
gptkbp:notRecommendedFor entanglement detection in higher dimensions
gptkbp:publishedIn gptkb:Physical_Review_Letters
gptkbp:relatedTo quantum separability problem
entanglement witness
partial transpose
gptkbp:result positive semidefinite matrix for separable states
gptkbp:satisfies all separable states
gptkbp:sufficientFor entanglement detection in 2x2 and 2x3 systems
gptkbp:usedFor detecting entanglement
gptkbp:bfsParent gptkb:Peres–Horodecki_criterion
gptkbp:bfsLayer 7