Expression of type MultiQubitElem

from the theory of proveit.physics.quantum.circuits

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 A, IndexedVar, N, Variable
from proveit.numbers import Add, Interval, one, subtract
from proveit.physics.quantum.circuits import Input, MultiQubitElem

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
expr = MultiQubitElem(element = Input(state = IndexedVar(A, sub_expr1), part = Variable("_a", latex_format = r"{_{-}a}")), targets = Interval(Add(IndexedVar(N, subtract(sub_expr1, one)), one), IndexedVar(N, sub_expr1)))

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{
& \qin{A_{{_{-}b}}~\mbox{part}~{_{-}a}~\mbox{on}~\{N_{{_{-}b} - 1} + 1~\ldotp \ldotp~N_{{_{-}b}}\}} & \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	state: 9 part: 10
7	Literal
8	ExprTuple	11, 12
9	IndexedVar	variable: 13 index: 22
10	Variable
11	Operation	operator: 20 operands: 14
12	IndexedVar	variable: 17 index: 22
13	Variable
14	ExprTuple	16, 26
15	ExprTuple	22
16	IndexedVar	variable: 17 index: 19
17	Variable
18	ExprTuple	19
19	Operation	operator: 20 operands: 21
20	Literal
21	ExprTuple	22, 23
22	Variable
23	Operation	operator: 24 operand: 26
24	Literal
25	ExprTuple	26
26	Literal