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 Conditional, ConditionalSet, ExprRange, ExprTuple, Variable, VertExprArray, t
from proveit.linear_algebra import MatrixExp
from proveit.logic import Equals, NotEquals, Set
from proveit.numbers import Add, Exp, Interval, Neg, one, two, zero
from proveit.physics.quantum import CONTROL
from proveit.physics.quantum.QPE import QPE1, _U, _s
from proveit.physics.quantum.circuits import Gate, Igate, MultiQubitElem, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr3 = Add(t, one)
sub_expr4 = Add(sub_expr1, t)
sub_expr5 = Add(t, _s)
sub_expr6 = MultiQubitElem(element = Gate(operation = QPE1(_U, t), part = sub_expr2), targets = Interval(one, sub_expr5))
expr = ExprTuple(Qcircuit(vert_expr_array = VertExprArray(ExprRange(sub_expr1, [ExprRange(sub_expr2, ConditionalSet(Conditional(MultiQubitElem(element = CONTROL, targets = Set(sub_expr3)), Equals(sub_expr4, sub_expr2)), Conditional(Igate, NotEquals(sub_expr4, sub_expr2))), one, t).with_case_simplification(), ExprRange(sub_expr2, MultiQubitElem(element = Gate(operation = MatrixExp(_U, Exp(two, Neg(sub_expr1))), part = sub_expr2), targets = Interval(sub_expr3, sub_expr5)), one, _s)], Add(Neg(t), one), zero).with_decreasing_order())), Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr2, sub_expr6, one, t), ExprRange(sub_expr2, sub_expr6, sub_expr3, sub_expr5)])))

# 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{
& \control{} \qw \qwx[1] & \qw & \gate{\cdots} \qwx[1] & \qw & \qw \\
& \qw \qwx[1] & \control{} \qw \qwx[1] & \gate{\cdots} \qwx[1] & \qw & \qw \\
& \gate{\vdots} \qwx[1] & \gate{\vdots} \qwx[1] & \gate{\ddots} \qwx[1] & \gate{\vdots} & \qw \\
& \qw \qwx[1] & \qw \qwx[1] & \gate{\cdots} \qwx[1] & \control{} \qw \qwx[1] & \qw \\
& \gate{U^{2^{t - 1}}} & \gate{U^{2^{t - 2}}} & \gate{\cdots} & \gate{U^{2^{0}}} & { /^{s} } \qw
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \multigate{1}{\textrm{QPE}_1\left(U, t\right)} & { /^{t} } \qw \\
& \ghost{\textrm{QPE}_1\left(U, t\right)} & { /^{s} } \qw
} \end{array}\right)

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

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',)

	core type	sub-expressions
0	ExprTuple	1, 2
1	Operation	operator: 4 operands: 3
2	Operation	operator: 4 operand: 7
3	ExprTuple	6
4	Literal
5	ExprTuple	7
6	ExprRange	lambda_map: 8 start_index: 9 end_index: 10
7	ExprTuple	11, 12
8	Lambda	parameter: 82 body: 13
9	Operation	operator: 74 operands: 14
10	Literal
11	ExprRange	lambda_map: 15 start_index: 79 end_index: 78
12	ExprRange	lambda_map: 15 start_index: 71 end_index: 56
13	ExprTuple	16, 17
14	ExprTuple	18, 79
15	Lambda	parameter: 61 body: 19
16	ExprRange	lambda_map: 20 start_index: 79 end_index: 78
17	ExprRange	lambda_map: 21 start_index: 79 end_index: 70
18	Operation	operator: 80 operand: 78
19	Operation	operator: 48 operands: 23
20	Lambda	parameter: 61 body: 24
21	Lambda	parameter: 61 body: 26
22	ExprTuple	78
23	NamedExprs	element: 27 targets: 28
24	Operation	operator: 29 operands: 30
25	ExprTuple	61
26	Operation	operator: 48 operands: 31
27	Operation	operator: 51 operands: 32
28	Operation	operator: 44 operands: 33
29	Literal
30	ExprTuple	34, 35
31	NamedExprs	element: 36 targets: 37
32	NamedExprs	operation: 38 part: 61
33	ExprTuple	79, 56
34	Conditional	value: 39 condition: 40
35	Conditional	value: 41 condition: 42
36	Operation	operator: 51 operands: 43
37	Operation	operator: 44 operands: 45
38	Operation	operator: 46 operands: 47
39	Operation	operator: 48 operands: 49
40	Operation	operator: 50 operands: 54
41	Operation	operator: 51 operands: 52
42	Operation	operator: 53 operands: 54
43	NamedExprs	operation: 55 part: 61
44	Literal
45	ExprTuple	71, 56
46	Literal
47	ExprTuple	68, 78
48	Literal
49	NamedExprs	element: 57 targets: 58
50	Literal
51	Literal
52	NamedExprs	operation: 59
53	Literal
54	ExprTuple	60, 61
55	Operation	operator: 62 operands: 63
56	Operation	operator: 74 operands: 64
57	Literal
58	Operation	operator: 65 operand: 71
59	Literal
60	Operation	operator: 74 operands: 67
61	Variable
62	Literal
63	ExprTuple	68, 69
64	ExprTuple	78, 70
65	Literal
66	ExprTuple	71
67	ExprTuple	82, 78
68	Literal
69	Operation	operator: 72 operands: 73
70	Literal
71	Operation	operator: 74 operands: 75
72	Literal
73	ExprTuple	76, 77
74	Literal
75	ExprTuple	78, 79
76	Literal
77	Operation	operator: 80 operand: 82
78	Variable
79	Literal
80	Literal
81	ExprTuple	82
82	Variable

Expression of type ExprTuple¶

from the theory of proveit.physics.quantum.QPE¶

Expression of type ExprTuple ¶

from the theory of proveit.physics.quantum.QPE ¶