Statements (63)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical objects
|
| gptkbp:are |
true
|
| gptkbp:area |
quantum_state_transformations
|
| gptkbp:composedOf |
three matrices
|
| gptkbp:formFactor |
2-dimensional complex vector space
|
| gptkbp:hasAbstract |
0 for σ₁ and σ₂
1 for σ₃ |
| gptkbp:hasActivities |
±1
|
| gptkbp:hasDepartment |
±1
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pauli Matrices
|
| gptkbp:includes |
σ₁
σ₂ σ₃ |
| gptkbp:isDescribedAs |
spin-1/2 particles
|
| gptkbp:isEngagedIn |
true
|
| gptkbp:isExploredIn |
complex numbers
|
| gptkbp:isImportantFor |
quantum_information_theory
|
| gptkbp:isInvolvedIn |
quantum_entanglement
quantum_superposition |
| gptkbp:isPartOf |
quantum circuits
quantum_mechanics_formalism |
| gptkbp:isRegardedAs |
true
|
| gptkbp:isRelatedTo |
Lie algebra
qubit representation spin matrices quantum_mechanics |
| gptkbp:isRepresentedIn |
matrix form
3D rotations |
| gptkbp:isUsedFor |
gptkb:quantum_bits_(qubits)
Hadamard gate linear_combinations |
| gptkbp:isUsedIn |
gptkb:quantum_neural_networks
gptkb:quantum_harmonic_oscillator gptkb:quantum_cryptography gptkb:quantum_computing gptkb:quantum_machine_learning gptkb:quantum_teleportation quantum phase transitions quantum measurement theory spin operators quantum_field_theory quantum_algorithms quantum_simulations quantum_dynamics quantum_optics quantum_state_evolution quantum_state_tomography quantum_algorithms_for_cryptography quantum_algorithms_for_optimization quantum_algorithms_for_simulation quantum_chaos quantum_error_correction quantum_error_mitigation quantum_gates quantum_statistical_mechanics quantum_information_processing quantum_control_theory quantum_state_measurement |
| gptkbp:isVisitedBy |
true
|
| gptkbp:stadium |
gptkb:Wolfgang_Pauli
|
| gptkbp:symbolizes |
σ
|
| gptkbp:transportation |
true
|
| gptkbp:usedIn |
quantum_mechanics
|