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Qubit Bloch Sphere Visualization

A collection of visualization tools for the qubit Bloch sphere. The Bloch sphere is a useful representation of the state of a single-qubit quantum computer.

X gate comparison with Hadamard-Z-Hadamard

Install

bloch_sphere is available on PyPI:

python3 -m pip install bloch_sphere

Prerequisites

Cairo needs to be installed separately to render videos. See platform-specific instructions for Linux, Windows, and macOS from Cairo. Below are some examples for installing Cairo on Linux distributions and macOS.

Ubuntu

sudo apt-get install libcairo2

macOS

Using homebrew:

brew install cairo

Usage

This package provides a command line tool to generate animations. In your shell, run the following (run animate_bloch -h for help).

animate_bloch hadamard x y s s
animate_bloch2 xy_vs_z x,y z

Code Examples

Visualize a single Bloch sphere

from bloch_sphere.animate_bloch import do_or_save_animation, AnimState

@do_or_save_animation('my_animation', save=False, fps=20, preview=True)
# Or
#@do_or_save_animation('my_animation', save='gif', fps=20, preview=True)
#@do_or_save_animation('my_animation', save='mp4', fps=20, preview=False)
def animate(state: AnimState):
    state.x_gate()
    state.y_gate()
    state.s_gate()
    state.s_gate()
    ...
    state.wait()  # Pause at the end

Example output animation

Compare two sequences of gates

from bloch_sphere.animate_bloch_compare import main

main('hzh_x', 'h,z,h'.split(','), 'x'.split(','),
     r'& \gate{H} & \gate{Z} & \gate{H} & \qw & \push{=} & & \gate{X} & \qw',
     r'$HZH\ket{\psi}=X\ket{\psi}$',
     mp4=False,
     fps=20,
     preview=True,
)

Or

import drawSvg as draw
import latextools
from bloch_sphere.animate_bloch_compare import render_animation

# Add some extra labels
zero_ket = draw.Group()
zero_ket.draw(latextools.render_snippet('$\ket{0}$', latextools.pkg.qcircuit),
              x=0, y=0, center=True, scale=0.015)
one_ket = draw.Group()
one_ket.draw(latextools.render_snippet('$\ket{1}$', latextools.pkg.qcircuit),
             x=0, y=0, center=True, scale=0.015)
zero_ket_inner = draw.Use(zero_ket, 0, 0, transform='scale(0.75)')
one_ket_inner = draw.Use(one_ket, 0, 0, transform='scale(0.75)')

w = 624*2  # Output width
fps = 20
draw_args = dict(
    w = w/2,
    outer_labels=[
        [(0, 0, 1), (-0.15, 0.13), zero_ket],
        [(0, 0, -1), (0.15, -0.13), one_ket],
    ],
    inner_labels=[
        [(0, 0, 0.8), (0, 0), zero_ket_inner],
        [(0, 0, -0.8), (0, 0), one_ket_inner],
    ],
)

gates1 = 'h,z,h'.split(',')
gates2 = 'x'.split(',')
def func1(state):
    state.draw_args = dict(draw_args)
    state.draw_args['inner_labels'] = []
    state.sphere_fade_in()
    state.apply_gate_list(gates1, final_wait=False)
    state.wait()
    for _ in gates2:
        state.i_gate()
    state.wait()
    state.wait()
    state.sphere_fade_out()
    state.wait()
def func2(state):
    state.draw_args = dict(draw_args)
    state.draw_args['inner_labels'] = []
    state.sphere_fade_in()
    for _ in gates1:
        state.i_gate()
    state.wait()
    state.apply_gate_list(gates2, final_wait=False)
    state.wait()
    state.wait()
    state.sphere_fade_out()
    state.wait()
render_animation('hzh_x_compare', func1, func2,
                 r'& \gate{H} & \gate{Z} & \gate{H} & \qw & \push{=} & & \gate{X} & \qw',
                 r'$HZH\ket{\psi}=X\ket{\psi}$',
                 save='gif',  # False, 'gif', or 'mp4'
                 fps=fps,
                 preview=True,
                 w=w)

Example output animation

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Visualization tools for the qubit Bloch sphere

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