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, Variable, t
from proveit.logic import Equals, Set
from proveit.numbers import Add, one
from proveit.physics.quantum import CONTROL
from proveit.physics.quantum.circuits import MultiQubitElem

# build up the expression from sub-expressions
expr = Conditional(MultiQubitElem(element = CONTROL, targets = Set(Add(t, one))), Equals(Variable("_b", latex_format = r"{_{-}b}"), Variable("_a", latex_format = r"{_{-}a}")))

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{
& & \gate{CONTROL~\mbox{on}~\left\{t + 1\right\}} & \qw 
} \end{array} \textrm{ if } {_{-}b} = {_{-}a}\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	NamedExprs	element: 7 targets: 8
5	Literal
6	ExprTuple	9, 10
7	Literal
8	Operation	operator: 11 operand: 13
9	Variable
10	Variable
11	Literal
12	ExprTuple	13
13	Operation	operator: 14 operands: 15
14	Literal
15	ExprTuple	16, 17
16	Variable
17	Literal