Expression of type Gate

from the theory of proveit.physics.quantum.QPE

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 U, Variable
from proveit.linear_algebra import MatrixExp
from proveit.numbers import Exp, Neg, two
from proveit.physics.quantum.circuits import Gate

# build up the expression from sub-expressions
expr = Gate(operation = MatrixExp(U, Exp(two, Neg(Variable("_b", latex_format = r"{_{-}b}")))), part = Variable("_a", latex_format = r"{_{-}a}"))

expr:

# 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

# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())

\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U^{2^{-{_{-}b}}}~\mbox{part}~{_{-}a}} & \qw 
} \end{array}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	NamedExprs	operation: 3 part: 4
3	Operation	operator: 5 operands: 6
4	Variable
5	Literal
6	ExprTuple	7, 8
7	Variable
8	Operation	operator: 9 operands: 10
9	Literal
10	ExprTuple	11, 12
11	Literal
12	Operation	operator: 13 operand: 15
13	Literal
14	ExprTuple	15
15	Variable