# 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 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 MultiQubitElem, Output
In [2]:
# build up the expression from sub-expressions
expr = MultiQubitElem(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())
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert b_{\textit{f}} \oplus l \rangle_{t}~\mbox{part}~{_{-}a}~\mbox{on}~\{1~\ldotp \ldotp~t\}}
} \end{array}
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2NamedExprselement: 3
targets: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6NamedExprsstate: 9
part: 10
7Literal
8ExprTuple11, 15
9Operationoperator: 12
operands: 13
10Variable
11Literal
12Literal
13ExprTuple14, 15
14Operationoperator: 16
operands: 17
15Literal
16Literal
17ExprTuple18, 19
18Literal
19Variable