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Double-Slit Experiment
Double-Slit Experiment
On one multiway branch, the particle goes through the left slit, and one the other branch, the particle goes through the right:
In[]:=
ResourceFunction["MultiwaySystem"][{"A""L","A""R","L""LL","R""RR"},"A",4,"StatesGraph"]
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These two branches are causally disconnected:
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ResourceFunction["MultiwaySystem"][{"A""L","A""R","L""LL","R""RR"},"A",4,"EvolutionCausalGraph"]
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Upon performing a measurement, the particle is able to go through both slits simultaneously and interfere with itself:
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ResourceFunction["MultiwaySystem"][{"A""L","A""R","L""LL","R""RR"},"CanonicalKnuthBendixCompletion"]
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{LR,RL}
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ResourceFunction["MultiwaySystem"][Join[{"A""L","A""R","L""LL","R""RR"},{"L""R","R""L"}],"A",4,"StatesGraph"]
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ResourceFunction["MultiwaySystem"][Join[{"A""L","A""R","L""LL","R""RR"},{"L""R","R""L"}],"A",4,"CausalInvariantQ"]
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True
The two branches are now causally connected:
In[]:=
ResourceFunction["MultiwaySystem"][Join[{"A""L","A""R","L""LL","R""RR"},{"L""R","R""L"}],"A",4,"EvolutionCausalGraph"]
Out[]=
In[]:=
ResourceFunction["MultiwaySystem"][Join[{"A""L","A""R","L""LL","R""RR"},{"L""R","R""L"}],"A",6,"StatesGraph"]
Out[]=
In[]:=
ResourceFunction["MultiwaySystem"][Join[{"A""L","A""R","L""LL","R""RR"},{"L""R","R""L"}],"A",6]
Out[]=
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Characters/@Last[%]
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Counts/@%
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Counts[%]
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Histogram[%]
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? related to quantum random walks
ψ(string)
Is it merely a convention that the magnitude and phase of the wave function are packaged together?
Filtering for fixed length
Filtering for fixed length
Bell’s Theorem
Bell’s Theorem