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Expression of type Conditional

from the theory of proveit.physics.quantum.circuits

In [1]:
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
In [2]:
# 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:
In [3]:
# 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
In [4]:
# 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..
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
condition_delimiter'comma' or 'and'commacomma('with_comma_delimiter', 'with_conjunction_delimiter')
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Conditionalvalue: 1
condition: 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4NamedExprselement: 7
targets: 8
5Literal
6ExprTuple9, 10
7Literal
8Operationoperator: 11
operand: 13
9Variable
10Variable
11Literal
12ExprTuple13
13Operationoperator: 14
operands: 15
14Literal
15ExprTuple16, 17
16Variable
17Literal