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Expression of type NamedExprs

from the theory of proveit.physics.quantum.QPE

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 Literal, NamedExprs, Variable
from proveit.numbers import Exp, Mod, Mult, Round, two
from proveit.physics.quantum import NumKet
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(two, Literal("t", theory = "proveit.physics.quantum.QPE"))
expr = NamedExprs(("state", NumKet(Mod(Round(Mult(sub_expr1, Literal("phase", latex_format = r"\varphi", theory = "proveit.physics.quantum.QPE"))), sub_expr1), Literal("t", theory = "proveit.physics.quantum.QPE"))), ("part", 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}{l}
{\rm state}: \lvert round\left(2^{t} \cdot \varphi\right) ~\textup{mod}~ 2^{t} \rangle_{t}\\
{\rm part}: {_{-}a}\\
\end{array} \right\}

In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0NamedExprsstate: 1
part: 2
1Operationoperator: 3
operands: 4
2Variable
3Literal
4ExprTuple5, 19
5Operationoperator: 6
operands: 7
6Literal
7ExprTuple8, 14
8Operationoperator: 9
operand: 11
9Literal
10ExprTuple11
11Operationoperator: 12
operands: 13
12Literal
13ExprTuple14, 15
14Operationoperator: 16
operands: 17
15Literal
16Literal
17ExprTuple18, 19
18Literal
19Literal