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 ExprRange, Variable, VertExprArray, a, b, k
from proveit.core_expr_types import U_1_to_m
from proveit.numbers import Interval, one
from proveit.physics.quantum.circuits import Input, MultiQubitElem, Output

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Interval(one, k)
expr = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Input(state = a, part = sub_expr1), targets = sub_expr2), one, k)], U_1_to_m, [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = b, part = sub_expr1), targets = sub_expr2), one, k)])

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}{cccccc} 
 \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{a~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~k\}} & \qw 
} \end{array} & \multirow{4}{*}{$\begin{array}{c} \uparrow \\ U_{1} \\ \downarrow \end{array}$} & \multirow{4}{*}{$\begin{array}{c} \uparrow \\ U_{2} \\ \downarrow \end{array}$} & \multirow{4}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{4}{*}{$\begin{array}{c} \uparrow \\ U_{m} \\ \downarrow \end{array}$} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{b~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~k\}} 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{a~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~k\}} & \qw 
} \end{array} &  &  &  &  & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{b~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~k\}} 
} \end{array} \\
\vdots &  &  &  &  & \vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{a~\mbox{part}~k~\mbox{on}~\{1~\ldotp \ldotp~k\}} & \qw 
} \end{array} &  &  &  &  & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{b~\mbox{part}~k~\mbox{on}~\{1~\ldotp \ldotp~k\}} 
} \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, 2, 3
1	ExprTuple	4
2	ExprRange	lambda_map: 5 start_index: 30 end_index: 6
3	ExprTuple	7
4	ExprRange	lambda_map: 8 start_index: 30 end_index: 31
5	Lambda	parameter: 29 body: 9
6	Variable
7	ExprRange	lambda_map: 10 start_index: 30 end_index: 31
8	Lambda	parameter: 29 body: 11
9	IndexedVar	variable: 12 index: 29
10	Lambda	parameter: 29 body: 14
11	Operation	operator: 16 operands: 15
12	Variable
13	ExprTuple	29
14	Operation	operator: 16 operands: 17
15	NamedExprs	element: 18 targets: 20
16	Literal
17	NamedExprs	element: 19 targets: 20
18	Operation	operator: 21 operands: 22
19	Operation	operator: 23 operands: 24
20	Operation	operator: 25 operands: 26
21	Literal
22	NamedExprs	state: 27 part: 29
23	Literal
24	NamedExprs	state: 28 part: 29
25	Literal
26	ExprTuple	30, 31
27	Variable
28	Variable
29	Variable
30	Literal
31	Variable