Expression of type VertExprArray

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, ExprRange, IndexedVar, N, Variable, VertExprArray, m, n
from proveit.numbers import Add, Interval, one, subtract
from proveit.physics.quantum.circuits import MultiQubitElem, Output

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
expr = VertExprArray([ExprRange(sub_expr1, ExprRange(sub_expr2, MultiQubitElem(element = Output(state = IndexedVar(A, sub_expr1), part = sub_expr2), targets = Interval(Add(IndexedVar(N, subtract(sub_expr1, one)), one), IndexedVar(N, sub_expr1))), one, IndexedVar(n, sub_expr1)).with_wrapping_at(2,6), one, m)])

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} 
 \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1}~\mbox{part}~1~\mbox{on}~\{N_{1 - 1} + 1~\ldotp \ldotp~N_{1}\}} 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1}~\mbox{part}~2~\mbox{on}~\{N_{1 - 1} + 1~\ldotp \ldotp~N_{1}\}} 
} \end{array} \\
\vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{1}~\mbox{part}~n_{1}~\mbox{on}~\{N_{1 - 1} + 1~\ldotp \ldotp~N_{1}\}} 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{2}~\mbox{part}~1~\mbox{on}~\{N_{2 - 1} + 1~\ldotp \ldotp~N_{2}\}} 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{2}~\mbox{part}~2~\mbox{on}~\{N_{2 - 1} + 1~\ldotp \ldotp~N_{2}\}} 
} \end{array} \\
\vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{2}~\mbox{part}~n_{2}~\mbox{on}~\{N_{2 - 1} + 1~\ldotp \ldotp~N_{2}\}} 
} \end{array} \\
\begin{array}{c}\vdots\\ \vdots\end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{m}~\mbox{part}~1~\mbox{on}~\{N_{m - 1} + 1~\ldotp \ldotp~N_{m}\}} 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{m}~\mbox{part}~2~\mbox{on}~\{N_{m - 1} + 1~\ldotp \ldotp~N_{m}\}} 
} \end{array} \\
\vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{A_{m}~\mbox{part}~n_{m}~\mbox{on}~\{N_{m - 1} + 1~\ldotp \ldotp~N_{m}\}} 
} \end{array} \\
\end{array}

stored_expr.style_options()

name	description	default	current value	related methods
justification	justify to the 'left', 'center', or 'right' in the array cells	center	center	with_justification

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	ExprTuple	2
2	ExprRange	lambda_map: 3 start_index: 36 end_index: 4
3	Lambda	parameter: 32 body: 5
4	Variable
5	ExprRange	lambda_map: 6 start_index: 36 end_index: 7
6	Lambda	parameter: 20 body: 9
7	IndexedVar	variable: 10 index: 32
8	ExprTuple	20
9	Operation	operator: 11 operands: 12
10	Variable
11	Literal
12	NamedExprs	element: 13 targets: 14
13	Operation	operator: 15 operands: 16
14	Operation	operator: 17 operands: 18
15	Literal
16	NamedExprs	state: 19 part: 20
17	Literal
18	ExprTuple	21, 22
19	IndexedVar	variable: 23 index: 32
20	Variable
21	Operation	operator: 30 operands: 24
22	IndexedVar	variable: 27 index: 32
23	Variable
24	ExprTuple	26, 36
25	ExprTuple	32
26	IndexedVar	variable: 27 index: 29
27	Variable
28	ExprTuple	29
29	Operation	operator: 30 operands: 31
30	Literal
31	ExprTuple	32, 33
32	Variable
33	Operation	operator: 34 operand: 36
34	Literal
35	ExprTuple	36
36	Literal