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Computer Science
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Physics
Quantum Computation
Visualization of Quantum Measurement Probabilities
Visualize measurement results
Example Notebook
Open in Cloud
Download Notebook
Install and load the QuantumFramework paclet:
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W
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Given a random pure state, measure qubit-1 in the computational basis:
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:
{
1
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c
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Plot measurement probabilities:
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i
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]
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=
Measure a 3D-qubit in its computational basis:
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m
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u
a
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m
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p
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r
a
t
o
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[
Q
u
a
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t
u
m
B
a
s
i
s
[
3
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]
[
Q
u
a
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t
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m
S
t
a
t
e
[
"
R
a
n
d
o
m
P
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e
"
,
{
3
}
]
]
O
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a
n
t
u
m
M
e
a
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u
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m
e
n
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T
a
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g
e
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:
{
1
}
M
e
a
s
u
r
e
m
e
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O
u
t
c
o
m
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s
:
3
Plot measurement probabilities:
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[
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]
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Given a random pure state, measure qubit-1 in Pauli-X basis:
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[
"
X
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[
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a
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[
"
R
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d
o
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P
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]
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M
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a
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m
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:
{
1
}
M
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c
o
m
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:
2
Show measurement probabilities:
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ψ
x
-
0
.
8
5
4
6
6
8
,
ψ
x
+
0
.
1
4
5
3
3
2
Plot measurement probabilities for measuring a 2x3 composite system in computational basis:
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[
Q
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B
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[
{
2
,
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}
]
]
[
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[
"
R
a
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,
{
2
,
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}
]
]
[
"
P
r
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b
a
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i
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y
P
l
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"
]
O
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=
Define a random pure state for 2-qubits:
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ψ
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{
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R
a
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d
o
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P
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,
2
}
]
O
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9
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P
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d
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2
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y
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V
e
c
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r
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4
P
i
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S
c
h
r
ö
d
i
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g
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r
Find measurement probabilities, with and without a bit-flip noise channel with the probability 0.3:
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[
{
1
,
2
}
]
[
ψ
]
;
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{
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2
}
]
[
Q
u
a
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C
h
a
n
n
e
l
[
{
"
B
i
t
F
l
i
p
"
,
.
3
}
]
[
ψ
]
]
;
Compare measurement results:
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B
a
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C
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a
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r
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@
{
m
1
[
"
P
r
o
b
a
b
i
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i
t
i
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s
"
]
,
m
2
[
"
P
r
o
b
a
b
i
l
i
t
i
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s
"
]
}
]
,
O
u
t
[
1
1
]
=
External Links
QuantumState
QuantumMeasurementOperator
See Also
Wolfram/QuantumFramework
Publisher Information
Contributed by:
Wolfram Research, Quantum Computation Framework Team
