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Size of this PNG preview of this SVG file: 457 × 600 pixels. Other resolutions: 183 × 240 pixels | 366 × 480 pixels | 585 × 768 pixels | 780 × 1,024 pixels | 1,561 × 2,048 pixels | 500 × 656 pixels.
Original file (SVG file, nominally 500 × 656 pixels, file size: 27 KB)
Summary
DescriptionMUB bases plot.svg |
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.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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]*)
Items portrayed in this file
depicts
creator
some value
author name string: JozumBjada
Wikimedia username: JozumBjada
copyright status
copyrighted
copyright license
Creative Commons Attribution-ShareAlike 4.0 International
source of file
original creation by uploader
inception
18 August 2022
media type
image/svg+xml
File history
Click on a date/time to view the file as it appeared at that time.
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 |
File usage
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Global file usage
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Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Width | 400pt |
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Height | 525pt |
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