File:MUB bases plot.svg
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Original file (SVG file, nominally 500 × 656 pixels, file size: 27 KB)
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Summary
| Description |
English: Three orthonormal bases in a two-dimensional vector space, where bases B1 and B2 are mutually unbiased. Basis B3 is an example of a basis that is not mutually unbiased neither with B1 nor with B2. Circles are drawn to guide the eye when comparing overlaps of different vectors. Čeština: Tři ortonormální báze dvourozměrného vektorového prostoru, kde báze B1 a B2 tvoří sadu MUB bází. Báze B3 je příkladem báze, která MUB bázi netvoří, a to ani s bází B1, ani s bází B2. Kružnice jsou vykresleny jako pomůcka pro porovnání překryvů jednotlivých vektorů. |
| Date | |
| Source | Own work |
| Author | JozumBjada |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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Source code
This animation was created using Wolfram language 12.0.0 for Microsoft Windows (64-bit) (April 6, 2019). The source code follows (formatted as a .wl file).
(* ::Package:: *)
(* ::Input::Initialization:: *)
arrow[col_,ang_]:=With[{fac=1.2},
{AbsoluteThickness[3],Lighter[col,.5],Line[{{{0,0},fac AngleVector[ang+\[Pi]]}}],AbsoluteThickness[5],col,Arrowheads[0.1],Arrow[Line[{{0,0},AngleVector[ang]}]]}
]
axisSystemFg[col_,ang_,lab_,rad_:.3,offset_:{-1,1}]:={arrow[col,ang],arrow[col,ang+\[Pi]/2],Text[Style[lab,col,Bold,20],rad AngleVector[ang-\[Pi]],offset,AngleVector[ang]]}
background[col_,ang_]:=With[{end=AngleVector[ang]},
{Darker[col,.0],AbsoluteThickness[2.5],AbsoluteDashing[{10,5}],Line[{{0,end[[2]]},end,{end[[1]],0}}],col,Opacity[.1],Rectangle[{0,0},end]}
]
axisSystemBg[col_,ang_,arcrad_]:=With[{angend=ang+ \[Pi]/2},
{background[col,ang],background[col,angend],If[arcrad!=0,{col,Disk[{0,0},arcrad,{ang,angend}],Disk[{0,0},arcrad,\[Pi]+{ang,angend}]},Nothing]}
]
(* ::Input::Initialization:: *)
gr=With[{ang1=0,ang2=-\[Pi]/4,ang3=-2\[Pi]/6,col1=Black,col2=ColorData[81,7],col3=ColorData[81,10],rotang=15Degree},
Graphics[Rotate[#,rotang]&@{
axisSystemBg[col3,ang3,0],
axisSystemBg[col2,ang2,0.07],
{Gray,Circle[{0,0},Cos[ang3]],Circle[{0,0},Cos[ang2]],Circle[{0,0},Cos[ang3+\[Pi]/2]]},
axisSystemFg[col3,ang3,"B3",.4,{-1,-1}],
axisSystemFg[col2,ang2,"B2",.4,{-1,1}],
axisSystemFg[col1,ang1,"B1",.35]
},PlotRange->{{-.5,1.1},{-1,1.1}},ImageSize->400]
]
(* ::Input:: *)
(*SetDirectory[NotebookDirectory[]]*)
(*Export["mub_plot.svg",gr]*)
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:31, 18 August 2022 | | 500 × 656 (27 KB) | JozumBjada | Uploaded while editing "Wikipedista:JozumBjada/Pískoviště" on cs.wikipedia.org |
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