Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:anticommutationRelation |
{sigma_i, sigma_j} = 2 delta_ij I
|
| gptkbp:basisFor |
gptkb:Lie_algebra_su(2)
gptkb:Clifford_algebra_Cl_2 |
| gptkbp:commutationRelation |
[sigma_i, sigma_j] = 2i epsilon_ijk sigma_k
|
| gptkbp:component |
gptkb:Pauli_group
gptkb:Pauli_algebra |
| gptkbp:containsElement |
sigma_x
sigma_y sigma_z |
| gptkbp:determinant |
-1
|
| gptkbp:dimensions |
2x2
|
| gptkbp:eigenvalues |
1
-1 |
| https://www.w3.org/2000/01/rdf-schema#label |
Pauli matrix
|
| gptkbp:namedAfter |
gptkb:Wolfgang_Pauli
|
| gptkbp:numberOfRooms |
3
|
| gptkbp:property |
Hermitian
unitary |
| gptkbp:relatedTo |
gptkb:Bloch_sphere
spin-1/2 particles |
| gptkbp:sigma_x |
[[0,1],[1,0]]
|
| gptkbp:sigma_y |
[[0,-i],[i,0]]
|
| gptkbp:sigma_z |
[[1,0],[0,-1]]
|
| gptkbp:trace |
0
|
| gptkbp:usedFor |
quantum gates
describing spin operators qubit operations |
| gptkbp:usedIn |
gptkb:quantum_computing
quantum mechanics spin theory |
| gptkbp:bfsParent |
gptkb:Pauli_Y_matrix
gptkb:Pauli_Z_matrix |
| gptkbp:bfsLayer |
6
|