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Expression of type Prob

from the theory of proveit.physics.quantum.circuits

In [1]:
import proveit
# Automation is not needed when building an expression:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit.physics.quantum.circuits import circuit_psi_m_Vj
from proveit.statistics import Prob
In [2]:
# build up the expression from sub-expressions
expr = Prob(circuit_psi_m_Vj)
expr:
In [3]:
# check that the built expression is the same as the stored expression
assert expr == stored_expr
assert expr._style_id == stored_expr._style_id
print("Passed sanity check: expr matches stored_expr")
Passed sanity check: expr matches stored_expr
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\textrm{Pr}\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \gate{\begin{array}{c} \uparrow \\V_{1} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\V_{j} \\ \downarrow\end{array}} & { /^{m} } \qw
} \end{array}\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 7
6ExprTuple8
7ExprRangelambda_map: 9
start_index: 26
end_index: 10
8ExprRangelambda_map: 11
start_index: 26
end_index: 27
9Lambdaparameter: 25
body: 12
10Variable
11Lambdaparameter: 25
body: 13
12IndexedVarvariable: 14
index: 25
13Operationoperator: 16
operands: 17
14Variable
15ExprTuple25
16Literal
17NamedExprselement: 18
targets: 19
18Operationoperator: 20
operands: 21
19Operationoperator: 22
operands: 23
20Literal
21NamedExprsstate: 24
part: 25
22Literal
23ExprTuple26, 27
24Variable
25Variable
26Literal
27Variable