Expression of type MultiQubitElem

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, s, t
from proveit.linear_algebra import MatrixExp
from proveit.numbers import Add, Exp, Interval, Neg, one, two
from proveit.physics.quantum.circuits import Gate, MultiQubitElem

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

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}~\mbox{on}~\{t + 1~\ldotp \ldotp~t + s\}} & \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	element: 3 targets: 4
3	Operation	operator: 5 operands: 6
4	Operation	operator: 7 operands: 8
5	Literal
6	NamedExprs	operation: 9 part: 10
7	Literal
8	ExprTuple	11, 12
9	Operation	operator: 13 operands: 14
10	Variable
11	Operation	operator: 16 operands: 15
12	Operation	operator: 16 operands: 17
13	Literal
14	ExprTuple	18, 19
15	ExprTuple	21, 20
16	Literal
17	ExprTuple	21, 22
18	Variable
19	Operation	operator: 23 operands: 24
20	Literal
21	Variable
22	Variable
23	Literal
24	ExprTuple	25, 26
25	Literal
26	Operation	operator: 27 operand: 29
27	Literal
28	ExprTuple	29
29	Variable