logo

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, Interval, Mult, one, two
from proveit.physics.quantum import NumKet
from proveit.physics.quantum.circuits import Output
In [2]:
# build up the expression from sub-expressions
expr = NamedExprs(("element", Output(state = NumKet(Mult(Exp(two, Literal("t", theory = "proveit.physics.quantum.QPE")), Literal("phase", latex_format = r"\varphi", theory = "proveit.physics.quantum.QPE")), Literal("t", theory = "proveit.physics.quantum.QPE")), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(one, Literal("t", theory = "proveit.physics.quantum.QPE"))))
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
16Literal
17Literal
18ExprTuple19, 20
19Literal
20Literal