# 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 NamedExprs, Variable, l
from proveit.numbers import Interval, one
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.QPE import ModAdd, _b_floor, _t
from proveit.physics.quantum.circuits import Output

In [2]:
# build up the expression from sub-expressions
expr = NamedExprs(("element", Output(state = NumKet(ModAdd(_b_floor, l), _t), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(one, _t)))

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\{ \begin{array}{l}
{\rm element}: \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert b_{\textit{f}} \oplus l \rangle_{t}~\mbox{part}~{_{-}a}}
} \end{array}\\
{\rm targets}: \{1~\ldotp \ldotp~t\}\\
\end{array} \right\}


In [5]:
stored_expr.style_options()

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

core typesub-expressionsexpression
0NamedExprselement: 1
targets: 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
part: 8
5Literal
6ExprTuple9, 13
7Operationoperator: 10
operands: 11
8Variable
9Literal
10Literal
11ExprTuple12, 13
12Operationoperator: 14
operands: 15
13Literal
14Literal
15ExprTuple16, 17
16Literal
17Variable