Expression of type ExprTuple

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 import ExprTuple
from proveit.physics.quantum.circuits import phase_kickback_circuit

# build up the expression from sub-expressions
expr = ExprTuple(phase_kickback_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())

\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert + \rangle} & \control{} \qw \qwx[1] & \qout{\frac{1}{\sqrt{2}} \cdot \left(\lvert 0 \rangle + \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi} \cdot \lvert 1 \rangle\right)\right)} \\
\qin{\lvert u \rangle} & \gate{U} & \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	ExprTuple	1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5, 6
4	ExprTuple	7, 8
5	ExprTuple	9, 10
6	ExprTuple	11, 12
7	Operation	operator: 44 operands: 13
8	ExprRange	lambda_map: 14 start_index: 80 end_index: 19
9	Operation	operator: 35 operands: 15
10	ExprRange	lambda_map: 16 start_index: 80 end_index: 19
11	Operation	operator: 50 operands: 17
12	ExprRange	lambda_map: 18 start_index: 80 end_index: 19
13	NamedExprs	state: 20
14	Lambda	parameter: 59 body: 21
15	NamedExprs	element: 22 targets: 23
16	Lambda	parameter: 59 body: 24
17	NamedExprs	state: 25
18	Lambda	parameter: 59 body: 27
19	Operation	operator: 65 operands: 28
20	Operation	operator: 76 operand: 37
21	Operation	operator: 35 operands: 30
22	Literal
23	Operation	operator: 31 operand: 83
24	Operation	operator: 35 operands: 33
25	Operation	operator: 63 operands: 34
26	ExprTuple	59
27	Operation	operator: 35 operands: 36
28	ExprTuple	71, 80
29	ExprTuple	37
30	NamedExprs	element: 38 targets: 43
31	Literal
32	ExprTuple	83
33	NamedExprs	element: 39 targets: 43
34	ExprTuple	40, 41
35	Literal
36	NamedExprs	element: 42 targets: 43
37	Literal
38	Operation	operator: 44 operands: 51
39	Operation	operator: 45 operands: 46
40	Operation	operator: 72 operands: 47
41	Operation	operator: 48 operands: 49
42	Operation	operator: 50 operands: 51
43	Operation	operator: 52 operands: 53
44	Literal
45	Literal
46	NamedExprs	operation: 54 part: 59
47	ExprTuple	80, 55
48	Literal
49	ExprTuple	56, 57
50	Literal
51	NamedExprs	state: 58 part: 59
52	Literal
53	ExprTuple	83, 60
54	Variable
55	Operation	operator: 74 operands: 61
56	Operation	operator: 76 operand: 68
57	Operation	operator: 63 operands: 64
58	Variable
59	Variable
60	Operation	operator: 65 operands: 66
61	ExprTuple	83, 67
62	ExprTuple	68
63	Literal
64	ExprTuple	69, 70
65	Literal
66	ExprTuple	71, 83
67	Operation	operator: 72 operands: 73
68	Literal
69	Operation	operator: 74 operands: 75
70	Operation	operator: 76 operand: 80
71	Variable
72	Literal
73	ExprTuple	80, 83
74	Literal
75	ExprTuple	78, 79
76	Literal
77	ExprTuple	80
78	Literal
79	Operation	operator: 81 operands: 82
80	Literal
81	Literal
82	ExprTuple	83, 84, 85, 86
83	Literal
84	Literal
85	Literal
86	Variable