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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
from proveit.linear_algebra import TensorProd
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum.QPE import _Psi_ket, _ket_u, _s, _t
from proveit.physics.quantum.circuits import Output
In [2]:
# build up the expression from sub-expressions
expr = NamedExprs(("element", Output(state = TensorProd(_Psi_ket, _ket_u), part = Variable("_a", latex_format = r"{_{-}a}"))), ("targets", Interval(one, Add(_t, _s))))
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 \Psi \rangle {\otimes} \lvert u \rangle~\mbox{part}~{_{-}a}} 
} \end{array}\\
{\rm targets}: \{1~\ldotp \ldotp~t + s\}\\
\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, 10
7Operationoperator: 11
operands: 12
8Variable
9Literal
10Operationoperator: 13
operands: 14
11Literal
12ExprTuple15, 16
13Literal
14ExprTuple17, 18
15Literal
16Literal
17Literal
18Literal