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 Literal, NamedExprs, Variable
from proveit.numbers import Exp, Interval, Mod, Mult, Round, one, two
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.circuits import Output

# build up the expression from sub-expressions
sub_expr1 = Exp(two, Literal("t", theory = "proveit.physics.quantum.QPE"))
expr = NamedExprs(("element", Output(state = NumKet(Mod(Round(Mult(sub_expr1, Literal("phase", latex_format = r"\varphi", theory = "proveit.physics.quantum.QPE"))), sub_expr1), Literal("t", theory = "proveit.physics.quantum.QPE")), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(one, Literal("t", theory = "proveit.physics.quantum.QPE"))))

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	Literal
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Literal