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Single-Qubit Quantum Gates on a Bloch Sphere
Single-Qubit Quantum Gates on a Bloch Sphere
Using the Bloch sphere, a cubit can be represented as a unit vector (shown in red) from the origin to the point on the unit sphere with spherical coordinates . A single-qubit quantum gate operating on produces a rotated qubit ψ〉=〉, represented by the green vector. Check the box for "add gate 2?" to perform a second operation using gate . This produces another qubit ψ〉=〉, which is represented by the blue vector. You can choose from the gates H, X, Y, Z, S and T as defined in the Details.
ψ=α0+β1=cos(θ/2)0+sin(θ/2)1
ϕ
e
(θ,ϕ)
G
1
ψ〉
G
1
ψ
1
G
2
G
2
G
1
ψ
2