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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 NamedExprs, Variable, t
from proveit.numbers import Interval, Mult, one
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.QPE import phase, two_pow_t
from proveit.physics.quantum.circuits import Output
In [2]:
# build up the expression from sub-expressions
expr = NamedExprs(("element", Output(state = NumKet(Mult(two_pow_t, phase), t), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(one, t)))
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 element}: \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert 2^{t} \cdot \varphi \rangle_{t}~\mbox{part}~{_{-}a}} 
} \end{array}\\
{\rm targets}: \{1~\ldotp \ldotp~t\}\\
\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
0NamedExprselement: 1
targets: 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operands: 6
3Literal
4NamedExprsstate: 7
part: 8
5Literal
6ExprTuple9, 20
7Operationoperator: 10
operands: 11
8Variable
9Literal
10Literal
11ExprTuple12, 20
12Operationoperator: 13
operands: 14
13Literal
14ExprTuple15, 16
15Operationoperator: 17
operands: 18
16Variable
17Literal
18ExprTuple19, 20
19Literal
20Variable