# 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 Literal, Variable
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum.QPE import QPE
from proveit.physics.quantum.circuits import Gate, MultiQubitElem

In [2]:
# build up the expression from sub-expressions
expr = MultiQubitElem(element = Gate(operation = QPE(Literal("U", theory = "proveit.physics.quantum.QPE"), Literal("t", theory = "proveit.physics.quantum.QPE")), part = Variable("_a", latex_format = r"{_{-}a}")), targets = Interval(one, Add(Literal("t", theory = "proveit.physics.quantum.QPE"), Literal("s", theory = "proveit.physics.quantum.QPE"))))

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{
& & \gate{\textrm{QPE}\left(U, t\right)~\mbox{part}~{_{-}a}~\mbox{on}~\{1~\ldotp \ldotp~t + s\}} & \qw
} \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
6NamedExprsoperation: 9
part: 10
7Literal
8ExprTuple11, 12
9Operationoperator: 13
operands: 14
10Variable
11Literal
12Operationoperator: 15
operands: 16
13Literal
14ExprTuple17, 18
15Literal
16ExprTuple18, 19
17Literal
18Literal
19Literal