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, U, Variable, VertExprArray, m
from proveit.numbers import Interval, one
from proveit.physics.quantum import Qmult, var_ket_psi
from proveit.physics.quantum.circuits import Gate, Input, MultiQubitElem, Output

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Interval(one, m)
expr = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Input(state = var_ket_psi, part = sub_expr1), targets = sub_expr2), one, m)], [ExprRange(sub_expr1, MultiQubitElem(element = Gate(operation = U, part = sub_expr1), targets = sub_expr2), one, m)], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = Qmult(U, var_ket_psi), part = sub_expr1), targets = sub_expr2), 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}{ccc} 
 \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert \psi \rangle~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{U \thinspace \lvert \psi \rangle~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~m\}} 
} \end{array} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert \psi \rangle~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{U \thinspace \lvert \psi \rangle~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~m\}} 
} \end{array} \\
\vdots & \vdots & \vdots \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert \psi \rangle~\mbox{part}~m~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \gate{U~\mbox{part}~m~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} & \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{U \thinspace \lvert \psi \rangle~\mbox{part}~m~\mbox{on}~\{1~\ldotp \ldotp~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, 2, 3
1	ExprTuple	4
2	ExprTuple	5
3	ExprTuple	6
4	ExprRange	lambda_map: 7 start_index: 32 end_index: 33
5	ExprRange	lambda_map: 8 start_index: 32 end_index: 33
6	ExprRange	lambda_map: 9 start_index: 32 end_index: 33
7	Lambda	parameter: 31 body: 10
8	Lambda	parameter: 31 body: 11
9	Lambda	parameter: 31 body: 13
10	Operation	operator: 16 operands: 14
11	Operation	operator: 16 operands: 15
12	ExprTuple	31
13	Operation	operator: 16 operands: 17
14	NamedExprs	element: 18 targets: 21
15	NamedExprs	element: 19 targets: 21
16	Literal
17	NamedExprs	element: 20 targets: 21
18	Operation	operator: 22 operands: 23
19	Operation	operator: 24 operands: 25
20	Operation	operator: 26 operands: 27
21	Operation	operator: 28 operands: 29
22	Literal
23	NamedExprs	state: 37 part: 31
24	Literal
25	NamedExprs	operation: 36 part: 31
26	Literal
27	NamedExprs	state: 30 part: 31
28	Literal
29	ExprTuple	32, 33
30	Operation	operator: 34 operands: 35
31	Variable
32	Literal
33	Variable
34	Literal
35	ExprTuple	36, 37
36	Variable
37	Variable