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 B, C, ExprRange, IndexedVar, S, T, Variable, VertExprArray, k, l, m
from proveit.numbers import one
from proveit.physics.quantum.circuits import MultiQubitElem

# build up the expression from sub-expressions
sub_expr1 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr2 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr3 = [sub_expr1, sub_expr2]
expr = VertExprArray(ExprRange(sub_expr1, [ExprRange(sub_expr2, MultiQubitElem(element = IndexedVar(B, sub_expr3), targets = IndexedVar(S, sub_expr3)), one, k), ExprRange(sub_expr2, MultiQubitElem(element = IndexedVar(C, sub_expr3), targets = IndexedVar(T, sub_expr3)), one, l)], 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}{cccc} 
 \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{1, 1}~\mbox{on}~S_{1, 1}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{2, 1}~\mbox{on}~S_{2, 1}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{m, 1}~\mbox{on}~S_{m, 1}} & \qw 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{1, 2}~\mbox{on}~S_{1, 2}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{2, 2}~\mbox{on}~S_{2, 2}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{m, 2}~\mbox{on}~S_{m, 2}} & \qw 
} \end{array} \\
\vdots & \vdots & \ddots & \vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{1, k}~\mbox{on}~S_{1, k}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{2, k}~\mbox{on}~S_{2, k}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{B_{m, k}~\mbox{on}~S_{m, k}} & \qw 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{1, 1}~\mbox{on}~T_{1, 1}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{2, 1}~\mbox{on}~T_{2, 1}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{m, 1}~\mbox{on}~T_{m, 1}} & \qw 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{1, 2}~\mbox{on}~T_{1, 2}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{2, 2}~\mbox{on}~T_{2, 2}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{m, 2}~\mbox{on}~T_{m, 2}} & \qw 
} \end{array} \\
\vdots & \vdots & \ddots & \vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{1, l}~\mbox{on}~T_{1, l}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{2, l}~\mbox{on}~T_{2, l}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{C_{m, l}~\mbox{on}~T_{m, l}} & \qw 
} \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	ExprRange	lambda_map: 2 start_index: 11 end_index: 3
2	Lambda	parameter: 28 body: 5
3	Variable
4	ExprTuple	28
5	ExprTuple	6, 7
6	ExprRange	lambda_map: 8 start_index: 11 end_index: 9
7	ExprRange	lambda_map: 10 start_index: 11 end_index: 12
8	Lambda	parameter: 29 body: 13
9	Variable
10	Lambda	parameter: 29 body: 15
11	Literal
12	Variable
13	Operation	operator: 17 operands: 16
14	ExprTuple	29
15	Operation	operator: 17 operands: 18
16	NamedExprs	element: 19 targets: 20
17	Literal
18	NamedExprs	element: 21 targets: 22
19	IndexedVar	variable: 23 indices: 27
20	IndexedVar	variable: 24 indices: 27
21	IndexedVar	variable: 25 indices: 27
22	IndexedVar	variable: 26 indices: 27
23	Variable
24	Variable
25	Variable
26	Variable
27	ExprTuple	28, 29
28	Variable
29	Variable