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Expression of type Conditional

from the theory of proveit.physics.quantum.algebra

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, k, n
from proveit.logic import CartExp, InSet
from proveit.numbers import Complex, Exp, two
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.algebra import n_bit_interval
In [2]:
# build up the expression from sub-expressions
expr = Conditional(InSet(NumKet(k, n), CartExp(Complex, Exp(two, n))), InSet(k, n_bit_interval))
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\{\lvert k \rangle_{n} \in \mathbb{C}^{2^{n}} \textrm{ if } k \in \{0~\ldotp \ldotp~2^{n} - 1\}\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: 4
operands: 3
2Operationoperator: 4
operands: 5
3ExprTuple6, 7
4Literal
5ExprTuple15, 8
6Operationoperator: 9
operands: 10
7Operationoperator: 11
operands: 12
8Operationoperator: 13
operands: 14
9Literal
10ExprTuple15, 28
11Literal
12ExprTuple16, 21
13Literal
14ExprTuple17, 18
15Variable
16Literal
17Literal
18Operationoperator: 19
operands: 20
19Literal
20ExprTuple21, 22
21Operationoperator: 23
operands: 24
22Operationoperator: 25
operand: 29
23Literal
24ExprTuple27, 28
25Literal
26ExprTuple29
27Literal
28Variable
29Literal