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 Interval, one
from proveit.physics.quantum import NumKet, Z
from proveit.physics.quantum.QPE import _Psi_ket, _alpha_m_sqrd, _t
from proveit.physics.quantum.circuits import Input, Measure, MultiQubitElem, Output, Qcircuit
from proveit.statistics import Prob

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Interval(one, _t)
expr = ExprTuple(Prob(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, Measure(basis = Z), one, _t)], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = NumKet(m, _t), part = sub_expr1), targets = sub_expr2), one, _t)]))), _alpha_m_sqrd)

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(\textrm{Pr}\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}}
} \end{array}\right), \left|\alpha_{m}\right|^{2}\right)

stored_expr.style_options()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1, 2
1	Operation	operator: 3 operand: 7
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7
5	Literal
6	ExprTuple	8, 9
7	Operation	operator: 10 operands: 11
8	Operation	operator: 12 operand: 17
9	Literal
10	Literal
11	ExprTuple	14, 15, 16
12	Literal
13	ExprTuple	17
14	ExprTuple	18
15	ExprTuple	19
16	ExprTuple	20
17	Operation	operator: 21 operand: 51
18	ExprRange	lambda_map: 23 start_index: 48 end_index: 52
19	ExprRange	lambda_map: 24 start_index: 48 end_index: 52
20	ExprRange	lambda_map: 25 start_index: 48 end_index: 52
21	Literal
22	ExprTuple	51
23	Lambda	parameter: 47 body: 26
24	Lambda	parameter: 47 body: 27
25	Lambda	parameter: 47 body: 29
26	Operation	operator: 33 operands: 30
27	Operation	operator: 31 operands: 32
28	ExprTuple	47
29	Operation	operator: 33 operands: 34
30	NamedExprs	element: 35 targets: 38
31	Literal
32	NamedExprs	basis: 36
33	Literal
34	NamedExprs	element: 37 targets: 38
35	Operation	operator: 39 operands: 40
36	Literal
37	Operation	operator: 41 operands: 42
38	Operation	operator: 43 operands: 44
39	Literal
40	NamedExprs	state: 45 part: 47
41	Literal
42	NamedExprs	state: 46 part: 47
43	Literal
44	ExprTuple	48, 52
45	Literal
46	Operation	operator: 49 operands: 50
47	Variable
48	Literal
49	Literal
50	ExprTuple	51, 52
51	Variable
52	Literal