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QuantumFramework

Tutorials

  • Getting Started

Guides

  • QuantumPhaseSpaceTranform
  • Wolfram Quantum Computation Framework

Tech Notes

  • Bell's Theorem
  • Circuit Diagram
  • Example Repository Functions
  • Exploring Fundamentals of Quantum Theory
  • Quantum object abstraction
  • Tensor Network
  • Quantum Computation

Symbols

  • QuantumBasis
  • QuantumChannel
  • QuantumCircuitMultiwayGraph [EXPERIMENTAL]
  • QuantumCircuitOperator
  • QuantumDistance
  • QuantumEntangledQ
  • QuantumEntanglementMonotone
  • QuantumEvolve
  • QuantumMeasurement
  • QuantumMeasurementOperator
  • QuantumMeasurementSimulation
  • QuantumMPS [EXPERIMENTAL]
  • QuantumOperator
  • QuantumPartialTrace
  • QuantumPhaseSpaceTransform
  • QuantumShortcut [EXPERIMENTAL]
  • QuantumStateEstimate [EXPERIMENTAL]
  • QuantumState
  • QuantumTensorProduct
  • QuantumWignerMICTransform [EXPERIMENTAL]
  • QuantumWignerTransform [EXPERIMENTAL]
  • QuditBasis
  • QuditName
Wolfram`QuantumFramework`
QuantumPartialTrace
​
QuantumPartialTrace
[qs,s]
gives the quantum discrete state
qs
with qubits at indices in list
s
traced out.
​
​
QuantumPartialTrace
[qb,s]
gives the quantum basis
qb
, with the bases at indices in list
s
traced out.
​
Details and Options

Examples  
(4)
Basic Examples  
(3)
Trace out the first qubit from a 2-qubit state:
In[1]:=
QuantumPartialTrace

QuantumState
[{"RandomPure",2}],{1}
Out[1]=
QuantumState
Mixed state
Qudits: 1
Type: Matrix
Dimension: 2

​
Trace out the second and third qubit from a 4-qubit state:
In[1]:=
QuantumPartialTrace

QuantumState
[{"RandomPure",4}],{2,3}
Out[1]=
QuantumState
StateType: Matrix
Qudits: 2
Type: Mixed
Dimension: 4
Picture: Schrödinger
​

​
Trace out the second basis from a basis in tensor product form:
In[1]:=
QuantumBasis
["X",2]["Names"]
Out[1]=

ψ
x
-
ψ
x
-
,
ψ
x
-
ψ
x
+
,
ψ
x
+
ψ
x
-
,
ψ
x
+
ψ
x
+

In[2]:=
QuantumPartialTrace

QuantumBasis
["X",2],{1}["Names"]
Out[2]=

ψ
x
-
,
ψ
x
+

Applications  
(1)

SeeAlso
QuantumState
 
▪
QuantumBasis
 
▪
QuantumTensorProduct
RelatedGuides
▪
Wolfram Quantum Computation Framework
""

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