Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
DenizYoldas`QuantumBlockCellularAutomata`
QuantumCA  |
▪
init
QuantumState
▪
An exact list containing only and is interpreted first as a qubit string. For example, means the four-qubit basis state .
0
1
{1,0,0,1}
|1001〉
▪
Any other numeric vector is interpreted as the amplitudes of a pure global state and normalized internally. Its length must be for an even number of qubits .
n
2
n
▪
Machine-real input is therefore a four-amplitude, two-qubit state vector for , while exact input is the four-qubit basis state .
{1.,0.,0.,0.}
|00〉
{1,0,0,0}
|1000〉
▪
Since returns an exact binary list, convert a basis amplitude vector numerically before passing it, for example .
UnitVector
psi=N@UnitVector[4,1]
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Mixed states are not supported, including mixed states wrapped in , because the current evolution acts on state vectors rather than density matrices.
QuantumState
▪
u
QuantumOperator
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The function converts all inputs to numeric arrays before evolution. Exact expressions such as are numerically evaluated internally.
Sqrt[2]
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Each step applies two Margolus layers. Phase 0 applies even pairs first; phase 1 applies odd pairs first.
▪
▪
The return value is an association containing , , , , , , , and .
"States"
"BlochVectors"
"Unitary"
"Steps"
"Substeps"
"Phase"
"Qudits"
"Circuit"
"Backend"
▪
"States"
QuantumState
▪
"BlochVectors"
▪
"Backend"
option | default | effect | |
"Phase" | 0 | initial Margolus phase | |
"Backend" | choose or force a backend | ||
"Tolerance" | 10^-10 | numerical chopping and classification tolerance |
Examples
(26)
Basic Examples
(3)
Create a controlled-Hadamard evolution:
In[1]:=
evo=
[{1,0,0,0,0,0},QuantumOperator["CH"],2];Dataset[evo]
 | QuantumCA |
Out[1]=
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_________________________________________________________________________________________________________________
Return the keys available on every evolution object:
In[1]:=
Keys
[{1,0,0,0},QuantumOperator["CH"],1]
 | QuantumCA |
Out[1]=
{States,BlochVectors,Unitary,Steps,Substeps,Phase,Qudits,Circuit,Backend}
_________________________________________________________________________________________________________________
Extract the final object:
QuantumState
In[1]:=
| QuantumCA |
Out[1]=
QuantumState
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Scope
(8)
Options
(5)
Applications
(2)
Properties & Relations
(4)
Possible Issues
(3)
Neat Examples
(1)
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