Quanum Bit Visual Helper

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first gate applied

last gate applied

change the display order

Flip the display order of the gates.

Add a quantum logic gate at this step ({{stepLabel(gateChain.length-index)}}).
The gates are applied right to left.

＋

Add a quantum logic gate at this step (Input).
The gates are applied right to left.

＋

Remove this step.

－

{{stepLabel(gateChain.length-index)}} to:

Display this step ({{stepLabel(gateChain.length-index)}}) on "Screen {{screenIdx+1}}"

Screen {{screenIdx+1}}

Input to:

Display this step (Input) on "Screen {{screenIdx+1}}"

Screen {{screenIdx+1}}

Identity, no-op
Symbols: \(I,\, 𝕀,\, 𝟙\)

Global phase
Symbols: \(Ph,\, Phase,\, e^{i\delta}I\)

Pauli X, NOT, bit flip
Symbols: \(X,\,\) NOT\(,\,\delta_x\)

Pauli Y
Symbols: \(Y,\, \delta_y\)

Pauli Z, phase flip
Symbols: \(Z,\, \delta_z\)

Phase gate S, square root of Z
Symbols: \(S,\, \sqrt{Z}\)

Square root of X, square root of NOT
Symbols: \(\sqrt{X},\, V,\, \sqrt{NOT},\, SX\)

Hadamard, Walsh-Hadamard
Symbols: \(H\)

Phase shift
Symbols: \(P(\phi),\, R(\phi),\, u_1(\phi)\)

Phase gate T, π/8 gate, fourth root of Z
Symbols: \(T,\, P(\pi/4),\, \sqrt[4]{Z}\)

Rotation about x-axis
Symbols: \(R_x(\theta)\)

Rotation about y-axis
Symbols: \(R_y(\theta)\)

Rotation about z-axis
Symbols: \(R_z(\theta)\)

{{parameter.label}}: {{parameter.minLabel}}{{parameter.maxLabel}}

\( \begin{bmatrix} 1 & 0 \\ 0 & 1 \\ \end{bmatrix} \)

\( e^{i\delta} \begin{bmatrix} 1 & 0 \\ 0 & 1 \\ \end{bmatrix} \)

\( \begin{bmatrix} 0 & 1 \\ 1 & 0 \\ \end{bmatrix} \)

\( \begin{bmatrix} 0 & -i \\ i & 0 \\ \end{bmatrix} \)

\( \begin{bmatrix} 1 & 0 \\ 0 & -1 \\ \end{bmatrix} \)

\( \begin{bmatrix} 1 & 0 \\ 0 & i \\ \end{bmatrix} \)

\( \frac{1}{2} \begin{bmatrix} 1+i & 1-i \\ 1-i & 1+i \\ \end{bmatrix} \)

\( \frac{1}{\sqrt{2}} \begin{bmatrix} 1 & 1 \\ 1 & -1 \\ \end{bmatrix} \)

\( \begin{bmatrix} 1 & 0 \\ 0 & e^{i\phi} \\ \end{bmatrix} \)

\( \begin{bmatrix} 1 & 0 \\ 0 & e^{i\frac{\pi}{4}} \\ \end{bmatrix} \)

\( \begin{bmatrix} cos(\frac{\theta}{2}) & -i\,sin(\frac{\theta}{2}) \\ -i\,sin(\frac{\theta}{2}) & cos(\frac{\theta}{2}) \\ \end{bmatrix} \)

\( \begin{bmatrix} cos(\frac{\theta}{2}) & -sin(\frac{\theta}{2}) \\ sin(\frac{\theta}{2}) & cos(\frac{\theta}{2}) \\ \end{bmatrix} \)

\( \begin{bmatrix} e^{-i\frac{\theta}{2}} & 0 \\ 0 & e^{i\frac{\theta}{2}} \\ \end{bmatrix} \)