Expression of type Conditional ¶

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, l
from proveit.logic import Equals, InSet
from proveit.numbers import Exp, Mult, four, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _neg_domain

# build up the expression from sub-expressions
sub_expr1 = Exp(_diff_l_scaled_delta_floor, two)
expr = Conditional(Equals(frac(one, Mult(four, sub_expr1)), Mult(frac(one, four), frac(one, sub_expr1))), 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\{\frac{1}{4 \cdot \left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}} = \left(\frac{1}{4} \cdot \frac{1}{\left(l - \left(2^{t} \cdot \delta_{b_{\textit{f}}}\right)\right)^{2}}\right) \textrm{ if } l \in \{-2^{t - 1} + 1~\ldotp \ldotp~-\left(e + 1\right)\}\right..

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

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

Expression of type Conditional¶

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

Expression of type Conditional ¶

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