Expression of type MultiQubitElem

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

# build up the expression from sub-expressions
sub_expr1 = Exp(two, Literal("t", theory = "proveit.physics.quantum.QPE"))
expr = MultiQubitElem(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())

\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}~\mbox{on}~\{1~\ldotp \ldotp~t\}} 
} \end{array}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	NamedExprs	element: 3 targets: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	NamedExprs	state: 9 part: 10
7	Literal
8	ExprTuple	11, 28
9	Operation	operator: 12 operands: 13
10	Variable
11	Literal
12	Literal
13	ExprTuple	14, 28
14	Operation	operator: 15 operands: 16
15	Literal
16	ExprTuple	17, 23
17	Operation	operator: 18 operand: 20
18	Literal
19	ExprTuple	20
20	Operation	operator: 21 operands: 22
21	Literal
22	ExprTuple	23, 24
23	Operation	operator: 25 operands: 26
24	Literal
25	Literal
26	ExprTuple	27, 28
27	Literal
28	Literal