Expression of type Prob

from the theory of proveit.physics.quantum.circuits

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_Ui_psi_m
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = Prob(circuit_Ui_psi_m)

expr:

# 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

# 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{
& \gate{\begin{array}{c} \uparrow \\U_{1} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\U_{i} \\ \downarrow\end{array}} & \qout{\lvert \psi \rangle}
} \end{array}\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	Operation	operator: 4 operands: 5
4	Literal
5	ExprTuple	6, 7
6	ExprRange	lambda_map: 8 start_index: 26 end_index: 9
7	ExprTuple	10
8	Lambda	parameter: 25 body: 11
9	Variable
10	ExprRange	lambda_map: 12 start_index: 26 end_index: 27
11	IndexedVar	variable: 13 index: 25
12	Lambda	parameter: 25 body: 15
13	Variable
14	ExprTuple	25
15	Operation	operator: 16 operands: 17
16	Literal
17	NamedExprs	element: 18 targets: 19
18	Operation	operator: 20 operands: 21
19	Operation	operator: 22 operands: 23
20	Literal
21	NamedExprs	state: 24 part: 25
22	Literal
23	ExprTuple	26, 27
24	Variable
25	Variable
26	Literal
27	Variable