Expression of type Prob

from the theory of proveit.physics.quantum.QPE

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.QPE import _phase_est_circuit
from proveit.statistics import Prob

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

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{
\qin{\lvert + \rangle} & \multigate{4}{\textrm{QPE}\left(U, t\right)} & \meter & \multiqout{3}{\lvert m \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} & \ghost{\textrm{QPE}\left(U, t\right)} & \measure{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert u \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & { /^{s} } \qw & \qout{\lvert u \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, 8, 9
6	ExprTuple	10, 11
7	ExprTuple	12, 13
8	ExprTuple	14, 15
9	ExprTuple	16, 17
10	ExprRange	lambda_map: 18 start_index: 80 end_index: 81
11	ExprRange	lambda_map: 19 start_index: 80 end_index: 82
12	ExprRange	lambda_map: 20 start_index: 80 end_index: 81
13	ExprRange	lambda_map: 20 start_index: 69 end_index: 70
14	ExprRange	lambda_map: 21 start_index: 80 end_index: 81
15	ExprRange	lambda_map: 22 start_index: 80 end_index: 82
16	ExprRange	lambda_map: 23 start_index: 80 end_index: 81
17	ExprRange	lambda_map: 24 start_index: 80 end_index: 82
18	Lambda	parameter: 68 body: 25
19	Lambda	parameter: 68 body: 26
20	Lambda	parameter: 68 body: 27
21	Lambda	parameter: 68 body: 28
22	Lambda	parameter: 68 body: 29
23	Lambda	parameter: 68 body: 30
24	Lambda	parameter: 68 body: 32
25	Operation	operator: 54 operands: 33
26	Operation	operator: 40 operands: 34
27	Operation	operator: 40 operands: 35
28	Operation	operator: 36 operands: 37
29	Operation	operator: 55 operands: 38
30	Operation	operator: 40 operands: 39
31	ExprTuple	68
32	Operation	operator: 40 operands: 41
33	NamedExprs	state: 42
34	NamedExprs	element: 43 targets: 51
35	NamedExprs	element: 44 targets: 45
36	Literal
37	NamedExprs	basis: 46
38	NamedExprs	operation: 47
39	NamedExprs	element: 48 targets: 49
40	Literal
41	NamedExprs	element: 50 targets: 51
42	Operation	operator: 52 operand: 64
43	Operation	operator: 54 operands: 61
44	Operation	operator: 55 operands: 56
45	Operation	operator: 62 operands: 57
46	Literal
47	Literal
48	Operation	operator: 60 operands: 58
49	Operation	operator: 62 operands: 59
50	Operation	operator: 60 operands: 61
51	Operation	operator: 62 operands: 63
52	Literal
53	ExprTuple	64
54	Literal
55	Literal
56	NamedExprs	operation: 65 part: 68
57	ExprTuple	80, 70
58	NamedExprs	state: 66 part: 68
59	ExprTuple	80, 81
60	Literal
61	NamedExprs	state: 67 part: 68
62	Literal
63	ExprTuple	69, 70
64	Literal
65	Operation	operator: 71 operands: 72
66	Operation	operator: 73 operands: 74
67	Literal
68	Variable
69	Operation	operator: 76 operands: 75
70	Operation	operator: 76 operands: 77
71	Literal
72	ExprTuple	78, 81
73	Literal
74	ExprTuple	79, 81
75	ExprTuple	81, 80
76	Literal
77	ExprTuple	81, 82
78	Literal
79	Variable
80	Literal
81	Literal
82	Literal