Expression of type Qcircuit

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 ExprRange, Literal, Variable, VertExprArray
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum.QPE import QPE1
from proveit.physics.quantum.circuits import Gate, MultiQubitElem, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(Literal("t", theory = "proveit.physics.quantum.QPE"), Literal("s", theory = "proveit.physics.quantum.QPE"))
sub_expr3 = MultiQubitElem(element = Gate(operation = QPE1(Literal("U", theory = "proveit.physics.quantum.QPE"), Literal("t", theory = "proveit.physics.quantum.QPE")), part = sub_expr1), targets = Interval(one, sub_expr2))
expr = Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, sub_expr3, one, Literal("t", theory = "proveit.physics.quantum.QPE")), ExprRange(sub_expr1, sub_expr3, Add(Literal("t", theory = "proveit.physics.quantum.QPE"), one), sub_expr2)]))

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{
& \multigate{1}{\textrm{QPE}_1\left(U, t\right)} & { /^{t} } \qw \\
& \ghost{\textrm{QPE}_1\left(U, t\right)} & { /^{s} } \qw
} \end{array}

stored_expr.style_options()

name	description	default	current value	related methods
spacing	change the spacing of a circuit using the format '@C=1em @R=.7em' where C is the column spacing and R is the row spacing	@C=1em @R=.7em	@C=1em @R=.7em

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operand: 3
1	Literal
2	ExprTuple	3
3	ExprTuple	4, 5
4	ExprRange	lambda_map: 6 start_index: 21 end_index: 28
5	ExprRange	lambda_map: 6 start_index: 7 end_index: 22
6	Lambda	parameter: 20 body: 9
7	Operation	operator: 25 operands: 10
8	ExprTuple	20
9	Operation	operator: 11 operands: 12
10	ExprTuple	28, 21
11	Literal
12	NamedExprs	element: 13 targets: 14
13	Operation	operator: 15 operands: 16
14	Operation	operator: 17 operands: 18
15	Literal
16	NamedExprs	operation: 19 part: 20
17	Literal
18	ExprTuple	21, 22
19	Operation	operator: 23 operands: 24
20	Variable
21	Literal
22	Operation	operator: 25 operands: 26
23	Literal
24	ExprTuple	27, 28
25	Literal
26	ExprTuple	28, 29
27	Literal
28	Literal
29	Literal