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, Variable, VertExprArray, k, l
from proveit.numbers import Interval, one
from proveit.physics.quantum import var_ket_u, var_ket_v
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 = Variable("_b", latex_format = r"{_{-}b}")
sub_expr3 = Interval(one, l)
expr = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Input(state = var_ket_u, part = sub_expr1), targets = sub_expr3), one, l)], ExprRange(sub_expr2, [ExprRange(sub_expr1, IndexedVar(A, [sub_expr2, sub_expr1]), one, l)], one, k), [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = var_ket_v, part = sub_expr1), targets = sub_expr3), one, l)])

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{\lvert u \rangle~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~l\}} & \qw 
} \end{array} & A_{1, 1} & A_{2, 1} & \cdots & A_{k, 1} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert v \rangle~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~l\}} 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert u \rangle~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~l\}} & \qw 
} \end{array} & A_{1, 2} & A_{2, 2} & \cdots & A_{k, 2} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert v \rangle~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~l\}} 
} \end{array} \\
\vdots & \vdots & \vdots & \ddots & \vdots & \vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert u \rangle~\mbox{part}~l~\mbox{on}~\{1~\ldotp \ldotp~l\}} & \qw 
} \end{array} & A_{1, l} & A_{2, l} & \cdots & A_{k, l} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\lvert v \rangle~\mbox{part}~l~\mbox{on}~\{1~\ldotp \ldotp~l\}} 
} \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: 36 end_index: 6
3	ExprTuple	7
4	ExprRange	lambda_map: 8 start_index: 36 end_index: 37
5	Lambda	parameter: 33 body: 10
6	Variable
7	ExprRange	lambda_map: 11 start_index: 36 end_index: 37
8	Lambda	parameter: 35 body: 12
9	ExprTuple	33
10	ExprTuple	13
11	Lambda	parameter: 35 body: 14
12	Operation	operator: 17 operands: 15
13	ExprRange	lambda_map: 16 start_index: 36 end_index: 37
14	Operation	operator: 17 operands: 18
15	NamedExprs	element: 19 targets: 23
16	Lambda	parameter: 35 body: 21
17	Literal
18	NamedExprs	element: 22 targets: 23
19	Operation	operator: 24 operands: 25
20	ExprTuple	35
21	IndexedVar	variable: 26 indices: 27
22	Operation	operator: 28 operands: 29
23	Operation	operator: 30 operands: 31
24	Literal
25	NamedExprs	state: 32 part: 35
26	Variable
27	ExprTuple	33, 35
28	Literal
29	NamedExprs	state: 34 part: 35
30	Literal
31	ExprTuple	36, 37
32	Variable
33	Variable
34	Variable
35	Variable
36	Literal
37	Variable