Expression of type Conditional

from the theory of proveit.physics.quantum.circuits

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 Conditional, n
from proveit.logic import InSet
from proveit.physics.quantum import m_bit_interval
from proveit.physics.quantum.circuits import register_meas

# build up the expression from sub-expressions
expr = Conditional(register_meas, InSet(n, m_bit_interval))

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}{c} \Qcircuit@C=1em @R=.7em{
\multiqin{3}{\lvert \psi \rangle} & \meter & \multiqout{3}{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \meter & \ghostqout{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \measure{\begin{array}{c}:\\ \left(m - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \meter & \ghostqout{\lvert n \rangle_{m}}
} \end{array} \textrm{ if } n \in \{0~\ldotp \ldotp~2^{m} - 1\}\right..

stored_expr.style_options()

name	description	default	current value	related methods
condition_delimiter	'comma' or 'and'	comma	comma	('with_comma_delimiter', 'with_conjunction_delimiter')

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Conditional	value: 1 condition: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8, 9
5	Literal
6	ExprTuple	54, 10
7	ExprTuple	11
8	ExprTuple	12
9	ExprTuple	13
10	Operation	operator: 45 operands: 14
11	ExprRange	lambda_map: 15 start_index: 51 end_index: 55
12	ExprRange	lambda_map: 16 start_index: 51 end_index: 55
13	ExprRange	lambda_map: 17 start_index: 51 end_index: 55
14	ExprTuple	18, 19
15	Lambda	parameter: 50 body: 20
16	Lambda	parameter: 50 body: 21
17	Lambda	parameter: 50 body: 23
18	Literal
19	Operation	operator: 24 operands: 25
20	Operation	operator: 29 operands: 26
21	Operation	operator: 27 operands: 28
22	ExprTuple	50
23	Operation	operator: 29 operands: 30
24	Literal
25	ExprTuple	31, 32
26	NamedExprs	element: 33 targets: 36
27	Literal
28	NamedExprs	basis: 34
29	Literal
30	NamedExprs	element: 35 targets: 36
31	Operation	operator: 37 operands: 38
32	Operation	operator: 39 operand: 51
33	Operation	operator: 41 operands: 42
34	Literal
35	Operation	operator: 43 operands: 44
36	Operation	operator: 45 operands: 46
37	Literal
38	ExprTuple	47, 55
39	Literal
40	ExprTuple	51
41	Literal
42	NamedExprs	state: 48 part: 50
43	Literal
44	NamedExprs	state: 49 part: 50
45	Literal
46	ExprTuple	51, 55
47	Literal
48	Variable
49	Operation	operator: 52 operands: 53
50	Variable
51	Literal
52	Literal
53	ExprTuple	54, 55
54	Variable
55	Variable