Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical decomposition
quantum computing concept |
| gptkbp:A |
diagonal unitary in canonical form
nonlocal part of the decomposition |
| gptkbp:alsoKnownAs |
gptkb:Cartan_decomposition
|
| gptkbp:appliesTo |
two-qubit unitary operations
|
| gptkbp:enables |
canonical form for two-qubit unitaries
identification of entangling power of gates optimization of quantum circuits classification of two-qubit gates up to local equivalence |
| gptkbp:field |
gptkb:quantum_information_theory
linear algebra |
| gptkbp:form |
U = (k1 ⊗ k2) A (k3 ⊗ k4)
|
| https://www.w3.org/2000/01/rdf-schema#label |
KAK decomposition
|
| gptkbp:introducedIn |
quantum circuit theory
|
| gptkbp:k1 |
single-qubit unitary
|
| gptkbp:k2 |
single-qubit unitary
|
| gptkbp:k3 |
single-qubit unitary
|
| gptkbp:k4 |
single-qubit unitary
|
| gptkbp:namedAfter |
gptkb:Cartan_decomposition
|
| gptkbp:relatedTo |
gptkb:Lie_group
gptkb:SU(4) |
| gptkbp:usedFor |
decomposing two-qubit gates
|
| gptkbp:usedIn |
quantum circuit optimization
quantum gate synthesis |
| gptkbp:bfsParent |
gptkb:SL(2,_R)
|
| gptkbp:bfsLayer |
7
|