# 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 ExprTuple, e
from proveit.numbers import Add, Neg, one, subtract, two
from proveit.physics.quantum.QPE import _two_pow__t_minus_one

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(\left(2^{t - 1} - 2\right) + \left(-2^{t - 1} + 1 - e\right), -\left(e + 1\right)\right)

In [5]:
stored_expr.style_options()

namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()

core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 23
operands: 3
2Operationoperator: 27
operand: 7
3ExprTuple5, 6
4ExprTuple7
5Operationoperator: 23
operands: 8
6Operationoperator: 23
operands: 9
7Operationoperator: 23
operands: 10
8ExprTuple17, 11
9ExprTuple12, 29, 13
10ExprTuple18, 29
11Operationoperator: 27
operand: 21
12Operationoperator: 27
operand: 17
13Operationoperator: 27
operand: 18
14ExprTuple21
15ExprTuple17
16ExprTuple18
17Operationoperator: 19
operands: 20
18Variable
19Literal
20ExprTuple21, 22
21Literal
22Operationoperator: 23
operands: 24
23Literal
24ExprTuple25, 26
25Literal
26Operationoperator: 27
operand: 29
27Literal
28ExprTuple29
29Literal