Interactive Bloch Sphere

An interactive bloch sphere implemented with Three.js.

Features

• Setting qubit state to basis states:

$$ \lvert 0 \rangle = \left\lceil \begin{matrix} 1 \\ 0 \end{matrix} \right\rceil $$

$$ \lvert 1 \rangle = \left\lceil \begin{matrix} 0 \\ 1 \end{matrix} \right\rceil $$

$$ \lvert - \rangle = \frac {1} {\sqrt{2}} \left\lceil \begin{matrix} 1 \\ -1 \end{matrix} \right\rceil $$

$$ \lvert + \rangle = \frac {1} {\sqrt{2}} \left\lceil \begin{matrix} 1\\ 1 \end{matrix} \right\rceil $$

$$ \lvert -i \rangle = \frac {1} {\sqrt{2}} \left\lceil \begin{matrix} 1 \\ -i \end{matrix} \right\rceil $$

$$ \lvert +i \rangle = \frac {1} {\sqrt{2}} \left\lceil \begin{matrix} 1 \\ i \end{matrix} \right\rceil $$

• Applying gates, this includes:
  • Half turn gates:
    • $X$ Gate
    • $Y$ Gate
    • $Z$ Gate
    • $H$ Gate
  • Quater turn gates:
    • $S$ Gate ($\sqrt{Z}$)
    • $S^{-1}$ Gate ($Z^{-\frac 1 2}$)
    • $Y^{\frac 1 2}$ Gate
    • $Y^{-\frac 1 2}$ Gate
    • $X^{\frac 1 2}$ Gate
    • $X^{-\frac 1 2}$ Gate
  • Eighth turn gates:
    • $T$ Gate
    • $T^{-1}$ Gate
    • $Y^{\frac 1 4}$ Gate
    • $Y^{-\frac 1 4}$ Gate
    • $X^{\frac 1 4}$ Gate
    • $X^{-\frac 1 4}$ Gate

These gates can be applied in any order for example $H, T, Y^{-\frac 1 4}$ will result in this state:

How To Run

1. Have npm installed
2. run npm install
3. run vite serve

Use As npm Package

This project is available as an npm package under the name interactive-blochsphere.

Example Usage

import {InteractiveBlochSphere} from "interactive-blochsphere";

new InteractiveBlochSphere(document.getElementById("blochsphere"));