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 D, ExprRange, IndexedVar, U, Variable, VertExprArray, k, n
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(D, sub_expr3), targets = IndexedVar(U, sub_expr3)), one, k)], one, n))

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{D_{1, 1}~\mbox{on}~U_{1, 1}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{2, 1}~\mbox{on}~U_{2, 1}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{n, 1}~\mbox{on}~U_{n, 1}} & \qw 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{1, 2}~\mbox{on}~U_{1, 2}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{2, 2}~\mbox{on}~U_{2, 2}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{n, 2}~\mbox{on}~U_{n, 2}} & \qw 
} \end{array} \\
\vdots & \vdots & \ddots & \vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{1, k}~\mbox{on}~U_{1, k}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{2, k}~\mbox{on}~U_{2, k}} & \qw 
} \end{array} & \cdots & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{D_{n, k}~\mbox{on}~U_{n, k}} & \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: 8 end_index: 3
2	Lambda	parameter: 19 body: 5
3	Variable
4	ExprTuple	19
5	ExprTuple	6
6	ExprRange	lambda_map: 7 start_index: 8 end_index: 9
7	Lambda	parameter: 20 body: 11
8	Literal
9	Variable
10	ExprTuple	20
11	Operation	operator: 12 operands: 13
12	Literal
13	NamedExprs	element: 14 targets: 15
14	IndexedVar	variable: 16 indices: 18
15	IndexedVar	variable: 17 indices: 18
16	Variable
17	Variable
18	ExprTuple	19, 20
19	Variable
20	Variable