gptkbp:instanceOf
|
quantum computer
|
gptkbp:actsOn
|
qubit
|
gptkbp:affiliatedWith
|
gptkb:Clifford_group
Pauli gates
|
gptkbp:alsoKnownAs
|
Z gate
phase-flip gate
|
gptkbp:anticommutesWith
|
Pauli X gate
Pauli Y gate
|
gptkbp:commutesWith
|
gptkb:Pauli_Z_gate
identity gate
|
gptkbp:determinant
|
-1
|
gptkbp:effectOnQubit
|
flips the phase of |1⟩
|
gptkbp:eigenvalues
|
1
-1
|
gptkbp:flipsPhaseOf
|
|1⟩
|
gptkbp:generation
|
phase flip
|
https://www.w3.org/2000/01/rdf-schema#label
|
Pauli Z gate
|
gptkbp:isDiagonal
|
true
|
gptkbp:isHermitian
|
true
|
gptkbp:isInvolutory
|
true
|
gptkbp:isSelfAdjoint
|
true
|
gptkbp:isUnitary
|
true
|
gptkbp:leavesStateUnchanged
|
|0⟩
|
gptkbp:matrixRepresentation
|
[[1, 0], [0, -1]]
|
gptkbp:order
|
2
|
gptkbp:relatedTo
|
gptkb:Hadamard_gate
Pauli X gate
Pauli Y gate
|
gptkbp:squareIsIdentity
|
true
|
gptkbp:symbol
|
Z
|
gptkbp:trace
|
0
|
gptkbp:usedFor
|
basis change
phase kickback
quantum state manipulation
|
gptkbp:usedIn
|
gptkb:quantum_computing
quantum error correction
quantum algorithms
|
gptkbp:bfsParent
|
gptkb:Phase_gate
|
gptkbp:bfsLayer
|
7
|