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, Variable, VertExprArray, t
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum.QPE import _ket_u, _psi_t_ket, _s
from proveit.physics.quantum.circuits import MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _psi_t_ket, part = sub_expr1), targets = Interval(one, t)), one, t), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _ket_u, part = sub_expr1), targets = Interval(Add(t, one), Add(t, _s))), one, _s)]))

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 \psi_{t} \rangle} \\
& \qout{\lvert u \rangle}
} \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: 34 end_index: 35
5	ExprRange	lambda_map: 7 start_index: 34 end_index: 36
6	Lambda	parameter: 26 body: 8
7	Lambda	parameter: 26 body: 10
8	Operation	operator: 12 operands: 11
9	ExprTuple	26
10	Operation	operator: 12 operands: 13
11	NamedExprs	element: 14 targets: 15
12	Literal
13	NamedExprs	element: 16 targets: 17
14	Operation	operator: 20 operands: 18
15	Operation	operator: 22 operands: 19
16	Operation	operator: 20 operands: 21
17	Operation	operator: 22 operands: 23
18	NamedExprs	state: 24 part: 26
19	ExprTuple	34, 35
20	Literal
21	NamedExprs	state: 25 part: 26
22	Literal
23	ExprTuple	27, 28
24	Operation	operator: 29 operand: 35
25	Literal
26	Variable
27	Operation	operator: 32 operands: 31
28	Operation	operator: 32 operands: 33
29	Literal
30	ExprTuple	35
31	ExprTuple	35, 34
32	Literal
33	ExprTuple	35, 36
34	Literal
35	Variable
36	Literal