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 circuit__u_Akl_v__psi_m

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

\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\multiqin{3}{\lvert u \rangle} & \gate{A_{1, 1}} \qwx[1] & \gate{A_{2, 1}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{A_{k, 1}} \qwx[1] & \multiqout{3}{\lvert v \rangle} \\
\ghostqin{\lvert u \rangle} & \gate{A_{1, 2}} \qwx[1] & \gate{A_{2, 2}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{A_{k, 2}} \qwx[1] & \ghostqout{\lvert v \rangle} \\
\ghostqin{\lvert u \rangle} & \gate{\vdots} \qwx[1] & \gate{\vdots} \qwx[1] & \gate{\ddots} \qwx[1] & \gate{\vdots} \qwx[1] & \ghostqout{\lvert v \rangle} \\
\ghostqin{\lvert u \rangle} & \gate{A_{1, l}} & \gate{A_{2, l}} & \gate{\cdots} & \gate{A_{k, l}} & \ghostqout{\lvert v \rangle} \\
\qin{\lvert \psi \rangle} & { /^{m} } \qw & { /^{m} } \qw & \gate{\cdots} & { /^{m} } \qw & \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	ExprTuple	1
1	Operation	operator: 2 operands: 3
2	Literal
3	ExprTuple	4, 5, 6
4	ExprTuple	7, 8
5	ExprRange	lambda_map: 9 start_index: 64 end_index: 10
6	ExprTuple	11, 12
7	ExprRange	lambda_map: 13 start_index: 64 end_index: 65
8	ExprRange	lambda_map: 14 start_index: 64 end_index: 66
9	Lambda	parameter: 54 body: 16
10	Variable
11	ExprRange	lambda_map: 17 start_index: 64 end_index: 65
12	ExprRange	lambda_map: 18 start_index: 64 end_index: 66
13	Lambda	parameter: 58 body: 19
14	Lambda	parameter: 58 body: 20
15	ExprTuple	54
16	ExprTuple	21, 22
17	Lambda	parameter: 58 body: 23
18	Lambda	parameter: 58 body: 24
19	Operation	operator: 30 operands: 25
20	Operation	operator: 30 operands: 26
21	ExprRange	lambda_map: 27 start_index: 64 end_index: 65
22	ExprRange	lambda_map: 28 start_index: 64 end_index: 66
23	Operation	operator: 30 operands: 29
24	Operation	operator: 30 operands: 31
25	NamedExprs	element: 32 targets: 38
26	NamedExprs	element: 33 targets: 40
27	Lambda	parameter: 58 body: 34
28	Lambda	parameter: 58 body: 36
29	NamedExprs	element: 37 targets: 38
30	Literal
31	NamedExprs	element: 39 targets: 40
32	Operation	operator: 42 operands: 41
33	Operation	operator: 42 operands: 50
34	IndexedVar	variable: 43 indices: 44
35	ExprTuple	58
36	Operation	operator: 45 operands: 46
37	Operation	operator: 49 operands: 47
38	Operation	operator: 51 operands: 48
39	Operation	operator: 49 operands: 50
40	Operation	operator: 51 operands: 52
41	NamedExprs	state: 53 part: 58
42	Literal
43	Variable
44	ExprTuple	54, 58
45	Literal
46	NamedExprs	operation: 55
47	NamedExprs	state: 56 part: 58
48	ExprTuple	64, 65
49	Literal
50	NamedExprs	state: 57 part: 58
51	Literal
52	ExprTuple	59, 60
53	Variable
54	Variable
55	Literal
56	Variable
57	Variable
58	Variable
59	Operation	operator: 62 operands: 61
60	Operation	operator: 62 operands: 63
61	ExprTuple	65, 64
62	Literal
63	ExprTuple	65, 66
64	Literal
65	Variable
66	Variable