logo

Expression of type Conditional

from the theory of proveit.physics.quantum.QPE

In [1]:
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 InSet
from proveit.numbers import Exp, frac, one, two
from proveit.physics.quantum.QPE import _diff_l_scaled_delta_floor, _neg_domain
In [2]:
# build up the expression from sub-expressions
expr = Conditional(frac(one, Exp(_diff_l_scaled_delta_floor, two)), InSet(l, _neg_domain))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\left\{\frac{1}{\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..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4ExprTuple46, 7
5Literal
6ExprTuple18, 8
7Operationoperator: 34
operands: 9
8Operationoperator: 10
operands: 11
9ExprTuple12, 40
10Literal
11ExprTuple13, 14
12Operationoperator: 38
operands: 15
13Operationoperator: 38
operands: 16
14Operationoperator: 44
operand: 21
15ExprTuple18, 19
16ExprTuple20, 46
17ExprTuple21
18Variable
19Operationoperator: 44
operand: 25
20Operationoperator: 44
operand: 26
21Operationoperator: 38
operands: 24
22ExprTuple25
23ExprTuple26
24ExprTuple27, 46
25Operationoperator: 28
operands: 29
26Operationoperator: 34
operands: 30
27Variable
28Literal
29ExprTuple31, 32
30ExprTuple40, 33
31Operationoperator: 34
operands: 35
32Operationoperator: 36
operand: 41
33Operationoperator: 38
operands: 39
34Literal
35ExprTuple40, 42
36Literal
37ExprTuple41
38Literal
39ExprTuple42, 43
40Literal
41Literal
42Literal
43Operationoperator: 44
operand: 46
44Literal
45ExprTuple46
46Literal