# 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 ExprRange, ExprTuple, Variable
from proveit.numbers import one
from proveit.physics.quantum import Z
from proveit.physics.quantum.QPE import _t
from proveit.physics.quantum.circuits import Measure

In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(ExprRange(Variable("_a", latex_format = r"{_{-}a}"), Measure(basis = Z), 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}{c} \Qcircuit@C=1em @R=.7em{
& & \meter
} \end{array}, \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \meter
} \end{array}, ..\left(t - 3\right) \times.., \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \meter
} \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
0ExprTuple1
1ExprRangelambda_map: 2
start_index: 3
end_index: 4
2Lambdaparameter: 7
body: 6
3Literal
4Literal
5ExprTuple7
6Operationoperator: 8
operands: 9
7Variable
8Literal
9NamedExprsbasis: 10
10Literal