Expression of type ExprTuple

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 import ExprRange, ExprTuple, Variable, VertExprArray, m
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum import NumKet, Z
from proveit.physics.quantum.QPE import _Psi_ket, _ket_u, _s, _s_wire, _t
from proveit.physics.quantum.circuits import Input, Measure, MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Interval(one, _t)
sub_expr3 = Interval(Add(_t, one), Add(_t, _s))
expr = ExprTuple(Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Input(state = _Psi_ket, part = sub_expr1), targets = sub_expr2), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Input(state = _ket_u, part = sub_expr1), targets = sub_expr3), one, _s)], [ExprRange(sub_expr1, Measure(basis = Z), one, _t), _s_wire], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = NumKet(m, _t), part = sub_expr1), targets = sub_expr2), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _ket_u, part = sub_expr1), targets = sub_expr3), one, _s)])))

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 \Psi \rangle} & \meter & \multiqout{3}{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle} & \measure{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert u \rangle} & { /^{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	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	ExprRange	lambda_map: 13 start_index: 63 end_index: 64
8	ExprRange	lambda_map: 14 start_index: 63 end_index: 65
9	ExprRange	lambda_map: 15 start_index: 63 end_index: 64
10	ExprRange	lambda_map: 16 start_index: 63 end_index: 65
11	ExprRange	lambda_map: 17 start_index: 63 end_index: 64
12	ExprRange	lambda_map: 18 start_index: 63 end_index: 65
13	Lambda	parameter: 54 body: 19
14	Lambda	parameter: 54 body: 20
15	Lambda	parameter: 54 body: 21
16	Lambda	parameter: 54 body: 22
17	Lambda	parameter: 54 body: 23
18	Lambda	parameter: 54 body: 25
19	Operation	operator: 33 operands: 26
20	Operation	operator: 33 operands: 27
21	Operation	operator: 28 operands: 29
22	Operation	operator: 30 operands: 31
23	Operation	operator: 33 operands: 32
24	ExprTuple	54
25	Operation	operator: 33 operands: 34
26	NamedExprs	element: 35 targets: 40
27	NamedExprs	element: 36 targets: 42
28	Literal
29	NamedExprs	basis: 37
30	Literal
31	NamedExprs	operation: 38
32	NamedExprs	element: 39 targets: 40
33	Literal
34	NamedExprs	element: 41 targets: 42
35	Operation	operator: 44 operands: 43
36	Operation	operator: 44 operands: 48
37	Literal
38	Literal
39	Operation	operator: 47 operands: 45
40	Operation	operator: 49 operands: 46
41	Operation	operator: 47 operands: 48
42	Operation	operator: 49 operands: 50
43	NamedExprs	state: 51 part: 54
44	Literal
45	NamedExprs	state: 52 part: 54
46	ExprTuple	63, 64
47	Literal
48	NamedExprs	state: 53 part: 54
49	Literal
50	ExprTuple	55, 56
51	Literal
52	Operation	operator: 57 operands: 58
53	Literal
54	Variable
55	Operation	operator: 60 operands: 59
56	Operation	operator: 60 operands: 61
57	Literal
58	ExprTuple	62, 64
59	ExprTuple	64, 63
60	Literal
61	ExprTuple	64, 65
62	Variable
63	Literal
64	Literal
65	Literal