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, _pos_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, _pos_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 \{e + 1~\ldotp \ldotp~2^{t - 1}\}\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	36, 9
7	Operation	operator: 21 operands: 10
8	Operation	operator: 42 operands: 11
9	Operation	operator: 12 operands: 13
10	ExprTuple	38, 14
11	ExprTuple	15, 16
12	Literal
13	ExprTuple	17, 18
14	Operation	operator: 42 operands: 19
15	Operation	operator: 21 operands: 20
16	Operation	operator: 21 operands: 22
17	Operation	operator: 33 operands: 23
18	Operation	operator: 46 operands: 24
19	ExprTuple	25, 26
20	ExprTuple	38, 25
21	Literal
22	ExprTuple	38, 26
23	ExprTuple	27, 38
24	ExprTuple	50, 28
25	Literal
26	Operation	operator: 46 operands: 29
27	Variable
28	Operation	operator: 33 operands: 30
29	ExprTuple	31, 50
30	ExprTuple	51, 32
31	Operation	operator: 33 operands: 34
32	Operation	operator: 39 operand: 38
33	Literal
34	ExprTuple	36, 37
35	ExprTuple	38
36	Variable
37	Operation	operator: 39 operand: 41
38	Literal
39	Literal
40	ExprTuple	41
41	Operation	operator: 42 operands: 43
42	Literal
43	ExprTuple	44, 45
44	Operation	operator: 46 operands: 47
45	Operation	operator: 48 operand: 52
46	Literal
47	ExprTuple	50, 51
48	Literal
49	ExprTuple	52
50	Literal
51	Literal
52	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 ¶