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

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Interval(one, _t)
expr = ExprTuple(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)])))

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