Expression of type NamedExprs

from the theory of proveit.physics.quantum.QPE

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 NamedExprs, Variable, t
from proveit.numbers import Interval, Mod, Mult, Round, one
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.QPE import phase, two_pow_t
from proveit.physics.quantum.circuits import Output

# build up the expression from sub-expressions
expr = NamedExprs(("element", Output(state = NumKet(Mod(Round(Mult(two_pow_t, phase)), two_pow_t), t), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(one, t)))

expr:

# 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

# 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 round\left(2^{t} \cdot \varphi\right) ~\textup{mod}~ 2^{t} \rangle_{t}~\mbox{part}~{_{-}a}} 
} \end{array}\\
{\rm targets}: \{1~\ldotp \ldotp~t\}\\
\end{array} \right\}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	NamedExprs	element: 1 targets: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	NamedExprs	state: 7 part: 8
5	Literal
6	ExprTuple	9, 26
7	Operation	operator: 10 operands: 11
8	Variable
9	Literal
10	Literal
11	ExprTuple	12, 26
12	Operation	operator: 13 operands: 14
13	Literal
14	ExprTuple	15, 21
15	Operation	operator: 16 operand: 18
16	Literal
17	ExprTuple	18
18	Operation	operator: 19 operands: 20
19	Literal
20	ExprTuple	21, 22
21	Operation	operator: 23 operands: 24
22	Variable
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Variable