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
from proveit.numbers import Interval, one
from proveit.physics.quantum.QFT import InverseFourierTransform
from proveit.physics.quantum.QPE import _Psi_ket, _psi__t_ket, _t
from proveit.physics.quantum.circuits import Gate, Input, 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__t_ket, part = sub_expr1), targets = sub_expr2), one, _t)], [ExprRange(sub_expr1, MultiQubitElem(element = Gate(operation = InverseFourierTransform(_t), part = sub_expr1), targets = sub_expr2), one, _t)], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _Psi_ket, part = sub_expr1), targets = sub_expr2), one, _t)]))), one)

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{
\qin{\lvert \psi_{t} \rangle} & \gate{{\mathrm {FT}}^{\dag}_{t}} & \qout{\lvert \Psi \rangle}
} \end{array}\right), 1\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, 40
1	Operation	operator: 2 operand: 4
2	Literal
3	ExprTuple	4
4	Operation	operator: 5 operands: 6
5	Literal
6	ExprTuple	7, 8, 9
7	ExprTuple	10
8	ExprTuple	11
9	ExprTuple	12
10	ExprRange	lambda_map: 13 start_index: 40 end_index: 44
11	ExprRange	lambda_map: 14 start_index: 40 end_index: 44
12	ExprRange	lambda_map: 15 start_index: 40 end_index: 44
13	Lambda	parameter: 39 body: 16
14	Lambda	parameter: 39 body: 17
15	Lambda	parameter: 39 body: 19
16	Operation	operator: 22 operands: 20
17	Operation	operator: 22 operands: 21
18	ExprTuple	39
19	Operation	operator: 22 operands: 23
20	NamedExprs	element: 24 targets: 27
21	NamedExprs	element: 25 targets: 27
22	Literal
23	NamedExprs	element: 26 targets: 27
24	Operation	operator: 28 operands: 29
25	Operation	operator: 30 operands: 31
26	Operation	operator: 32 operands: 33
27	Operation	operator: 34 operands: 35
28	Literal
29	NamedExprs	state: 36 part: 39
30	Literal
31	NamedExprs	operation: 37 part: 39
32	Literal
33	NamedExprs	state: 38 part: 39
34	Literal
35	ExprTuple	40, 44
36	Operation	operator: 41 operand: 44
37	Operation	operator: 42 operand: 44
38	Literal
39	Variable
40	Literal
41	Literal
42	Literal
43	ExprTuple	44
44	Literal