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Numerical Shadow
The web resource on numerical range and numerical shadow
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Numerical range
Properties
Examples
2x2 matrices
3x3 matrices
4x4 matrices
Numerical range of random matrices
Numerical range of doubly stochastic matrices
Perturbation of unitary matrix numerical range
Generalizations
Restricted numerical range
Real numerical range
Product numerical range
Separable numerical range
Maximally entangled numerical range
Coherent numerical range
Quaternionic numerical range
C numerical range
Normalized numerical range
Higher rank numerical range
$p$-th matricial range
$(p,k)$ numerical range
Application of higher rank and $(p,k)$ numerical range
k-numerical range
q-numerical range
Numerical range of rectangular matrices
Maximal numerical range
Joint numerical range
Essential numerical range
Calculate numerical range
Animations
Numerical range and spectrum of random Ginibre matrix
Numerical shadow
Properties
Examples
2x2 matrices
3x3 matrices
4x4 matrices
5x5 matrices
6x6 matrices
8x8 matrices
9x9 matrices
Generalizations
Restricted numerical shadow
Real numerical shadow
Product numerical shadow
Maximally entangled numerical shadow
GHZ numerical shadow
W numerical shadow
$SU(2)$ coherent states
Animations
A matrix of dimension 2
A matrix of dimension 3
A matrix of dimension 4
Software
Numerical range
Random matrices
Literature
Presentations
Auxiliary definitions
GHZ states
W states
Dirac notation
External links
Acknowledgements
Contact
Cookie policy
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Numerical shadow
Example of a
product numerical shadow
restricted to real states
of matrix $$ \begin{pmatrix} 1&1&1&1\\ 0&i&1&1\\ 0&0&-1&1\\ 0&0&0&-i \end{pmatrix} $$ is forming an image of $\mathbb{R}P^1\times\mathbb{R}P^1$.
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Numerical range
Examples of numerical range
Generalizations of numerical range
Animations of numerical range
Numerical shadow
Examples of numerical shadow
Generalizations of numerical shadow
Animations of numerical shadow
Calculate Numerical Range
Software
Literature
Acknowledgements
Contact
Page created by
Łukasz Pawela
Piotr Gawron
Jarosław Adam Miszczak
Zbigniew Puchała
Karol Życzkowski
Paulina Lewandowska
Ryszard Kukulski
Supported by
Centre for Theoretical Physics, Polish Academy of Sciences
.
Hosted and maitained by
Institute of Theoretical and Applied Informatics, Polish Academy of Sciences
.
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· Last modified: 2019/07/13 11:06 by
rkukulski
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