# 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.
# import Expression classes needed to build the expression
from proveit import ExprTuple, l
from proveit.logic import Equals
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.QPE import ModAdd, _b_floor, _t, _two_pow_t

In [2]:
# build up the expression from sub-expressions

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(\lvert \left(b_{\textit{f}} + l\right) ~\textup{mod}~ 2^{t} \rangle_{t} = \lvert b_{\textit{f}} \oplus l \rangle_{t}\right)

In [5]:
stored_expr.style_options()

no style options
In [6]:
# display the expression information
stored_expr.expr_info()

core typesub-expressionsexpression
0ExprTuple1
1Operationoperator: 2
operands: 3
2Literal
3ExprTuple4, 5
4Operationoperator: 7
operands: 6
5Operationoperator: 7
operands: 8
6ExprTuple9, 23
7Literal
8ExprTuple10, 23
9Operationoperator: 11
operands: 12
10Operationoperator: 13
operands: 17
11Literal
12ExprTuple14, 15
13Literal
14Operationoperator: 16
operands: 17
15Operationoperator: 18
operands: 19
16Literal
17ExprTuple20, 21
18Literal
19ExprTuple22, 23
20Literal
21Variable
22Literal
23Literal