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, ExprTuple, Lambda, l
from proveit.logic import InSet
from proveit.numbers import Abs, Exp, LessEq, Mult, four, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _neg_domain, _rel_indexed_alpha

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(l, Conditional(LessEq(Exp(Abs(_rel_indexed_alpha), two), frac(one, Mult(four, Exp(_diff_l_scaled_delta_floor, two)))), InSet(l, _neg_domain))))

# 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(l \mapsto \left\{\left|\alpha_{b_{\textit{f}} \oplus l}\right|^{2} \leq \frac{1}{4 \cdot \left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}} \textrm{ if } l \in \{-2^{t - 1} + 1~\ldotp \ldotp~-\left(e + 1\right)\}\right..\right)

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions
0	ExprTuple	1
1	Lambda	parameter: 45 body: 3
2	ExprTuple	45
3	Conditional	value: 4 condition: 5
4	Operation	operator: 6 operands: 7
5	Operation	operator: 8 operands: 9
6	Literal
7	ExprTuple	10, 11
8	Literal
9	ExprTuple	45, 12
10	Operation	operator: 60 operands: 13
11	Operation	operator: 14 operands: 15
12	Operation	operator: 16 operands: 17
13	ExprTuple	18, 64
14	Literal
15	ExprTuple	59, 19
16	Literal
17	ExprTuple	20, 21
18	Operation	operator: 22 operand: 27
19	Operation	operator: 53 operands: 24
20	Operation	operator: 49 operands: 25
21	Operation	operator: 55 operand: 31
22	Literal
23	ExprTuple	27
24	ExprTuple	28, 29
25	ExprTuple	30, 59
26	ExprTuple	31
27	Operation	operator: 32 operand: 37
28	Literal
29	Operation	operator: 60 operands: 34
30	Operation	operator: 55 operand: 39
31	Operation	operator: 49 operands: 36
32	Literal
33	ExprTuple	37
34	ExprTuple	38, 64
35	ExprTuple	39
36	ExprTuple	40, 59
37	Operation	operator: 41 operands: 42
38	Operation	operator: 49 operands: 43
39	Operation	operator: 60 operands: 44
40	Variable
41	Literal
42	ExprTuple	66, 45
43	ExprTuple	45, 46
44	ExprTuple	64, 47
45	Variable
46	Operation	operator: 55 operand: 51
47	Operation	operator: 49 operands: 50
48	ExprTuple	51
49	Literal
50	ExprTuple	65, 52
51	Operation	operator: 53 operands: 54
52	Operation	operator: 55 operand: 59
53	Literal
54	ExprTuple	57, 58
55	Literal
56	ExprTuple	59
57	Operation	operator: 60 operands: 61
58	Operation	operator: 62 operand: 66
59	Literal
60	Literal
61	ExprTuple	64, 65
62	Literal
63	ExprTuple	66
64	Literal
65	Literal
66	Literal

Expression of type ExprTuple¶

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

Expression of type ExprTuple ¶

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