Uploaded September 2017 | Updated September 2026, 2 weeks ago
demonstrations.wolfram.com/HilbertSpaceBasesForDistinguishingPureQuantumStatesInLowDime
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
In a Hilbert space H of arbitrary dimension, at least four orthonormal vector bases are needed to distinguish all pure quantum states. This Demonstration constructs the four bases using orthogonal polynomials (except for the case dim(H)=2, in which only...
Contributed by: Wiljami Sillanpaa
Audio created with WolframTones:
tones.wolfram.com
demonstrations.wolfram.com/HilbertSpaceBasesForDistinguishingPureQuantumStatesInLowDime
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
In a Hilbert space H of arbitrary dimension, at least four orthonormal vector bases are needed to distinguish all pure quantum states. This Demonstration constructs the four bases using orthogonal polynomials (except for the case dim(H)=2, in which only...
Contributed by: Wiljami Sillanpaa
Audio created with WolframTones:
tones.wolfram.com



![Cylindrical Anamorphosis of Parametric Surfaces
http://demonstrations.wolfram.com/CylindricalAnamorphosisOfParametricSurfaces
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
Mirror anamorphosis is a distorted projection that a viewer sees as a normal undeformed image when reflected [1]. This Demonstration deals with the artists process: given a realistic 3D surface, make a new surface of the deformed, anamorphic image as r...
Contributed by: Erik Mahieu
Audio created with WolframTones:
http://tones.wolfram.com Cylindrical Anamorphosis of Parametric Surfaces](https://i.ytimg.com/vi/9H68arQFvSs/mqdefault.jpg)

. Definitions of multiple-link functions enable the classifi...
Contributed by: Izidor Hafner
Audio created with WolframTones:
http://tones.wolfram.com Multiple-Link Functions](https://i.ytimg.com/vi/9pu5IMhQ8aw/mqdefault.jpg)




