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q0
q1
q2
q3
q4
q5
H
Rz
X
H
S
Z
T
H
T
Ry
Y
H
S
H
Rx
X
T
S
H
Z
|0⟩
|1⟩
|+⟩
|−⟩
|ψ⟩
|ψ⟩ = 1/√2 (|00⟩ + |11⟩)
⟨ψ|H†H|ψ⟩ = 1
|+⟩ = (|0⟩ + |1⟩)/√2
H|0⟩ = |+⟩
|GHZ⟩ = (|000⟩ + |111⟩)/√2
CNOT|ψ⟩
⟨0|ρ|0⟩
Tr(ρ) = 1
000
001
010
011
100
101
110
111
1024 shots
surface code
eigenvalue spectrum
a0
a1
a2
H
T
Rz
X
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CVR 46299841