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.linear_algebra import TensorProd
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 = Add(_t, _s)
sub_expr3 = Add(_t, one)
sub_expr4 = MultiQubitElem(element = Input(state = TensorProd(_Psi_ket, _ket_u), part = sub_expr1), targets = Interval(one, sub_expr2))
expr = ExprTuple(Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, sub_expr4, one, _t).with_wrapping_at(2,6), ExprRange(sub_expr1, sub_expr4, sub_expr3, sub_expr2).with_wrapping_at(2,6)], [ExprRange(sub_expr1, Measure(basis = Z), one, _t), _s_wire], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = NumKet(m, _t), part = sub_expr1), targets = Interval(one, _t)), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _ket_u, part = sub_expr1), targets = Interval(sub_expr3, sub_expr2)), 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{4}{\lvert \Psi \rangle {\otimes} \lvert u \rangle} & \meter & \multiqout{3}{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle {\otimes} \lvert u \rangle} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle {\otimes} \lvert u \rangle} & \measure{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle {\otimes} \lvert u \rangle} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle {\otimes} \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: 64 end_index: 65
8	ExprRange	lambda_map: 13 start_index: 52 end_index: 53
9	ExprRange	lambda_map: 14 start_index: 64 end_index: 65
10	ExprRange	lambda_map: 15 start_index: 64 end_index: 66
11	ExprRange	lambda_map: 16 start_index: 64 end_index: 65
12	ExprRange	lambda_map: 17 start_index: 64 end_index: 66
13	Lambda	parameter: 51 body: 18
14	Lambda	parameter: 51 body: 19
15	Lambda	parameter: 51 body: 20
16	Lambda	parameter: 51 body: 21
17	Lambda	parameter: 51 body: 23
18	Operation	operator: 30 operands: 24
19	Operation	operator: 25 operands: 26
20	Operation	operator: 27 operands: 28
21	Operation	operator: 30 operands: 29
22	ExprTuple	51
23	Operation	operator: 30 operands: 31
24	NamedExprs	element: 32 targets: 33
25	Literal
26	NamedExprs	basis: 34
27	Literal
28	NamedExprs	operation: 35
29	NamedExprs	element: 36 targets: 37
30	Literal
31	NamedExprs	element: 38 targets: 39
32	Operation	operator: 40 operands: 41
33	Operation	operator: 47 operands: 42
34	Literal
35	Literal
36	Operation	operator: 45 operands: 43
37	Operation	operator: 47 operands: 44
38	Operation	operator: 45 operands: 46
39	Operation	operator: 47 operands: 48
40	Literal
41	NamedExprs	state: 49 part: 51
42	ExprTuple	64, 53
43	NamedExprs	state: 50 part: 51
44	ExprTuple	64, 65
45	Literal
46	NamedExprs	state: 62 part: 51
47	Literal
48	ExprTuple	52, 53
49	Operation	operator: 54 operands: 55
50	Operation	operator: 56 operands: 57
51	Variable
52	Operation	operator: 59 operands: 58
53	Operation	operator: 59 operands: 60
54	Literal
55	ExprTuple	61, 62
56	Literal
57	ExprTuple	63, 65
58	ExprTuple	65, 64
59	Literal
60	ExprTuple	65, 66
61	Literal
62	Literal
63	Variable
64	Literal
65	Literal
66	Literal