Expression of type Qcircuit

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

# 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 = Qcircuit(vert_expr_array = VertExprArray(ExprRange(sub_expr1, [ExprRange(sub_expr2, MultiQubitElem(element = IndexedVar(A, sub_expr3), targets = IndexedVar(R, 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}{c} \Qcircuit@C=1em @R=.7em{
& \gate{A_{1, 1}~\mbox{on}~R_{1, 1}} \qwx[1] & \gate{A_{2, 1}~\mbox{on}~R_{2, 1}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{A_{m, 1}~\mbox{on}~R_{m, 1}} \qwx[1] & \qw \\
& \gate{A_{1, 2}~\mbox{on}~R_{1, 2}} \qwx[1] & \gate{A_{2, 2}~\mbox{on}~R_{2, 2}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{A_{m, 2}~\mbox{on}~R_{m, 2}} \qwx[1] & \qw \\
& \gate{\vdots} \qwx[1] & \gate{\vdots} \qwx[1] & \gate{\ddots} \qwx[1] & \gate{\vdots} \qwx[1] & \qw \\
& \gate{A_{1, k}~\mbox{on}~R_{1, k}} \qwx[1] & \gate{A_{2, k}~\mbox{on}~R_{2, k}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{A_{m, k}~\mbox{on}~R_{m, k}} \qwx[1] & \qw \\
& \gate{C_{1, 1}~\mbox{on}~T_{1, 1}} \qwx[1] & \gate{C_{2, 1}~\mbox{on}~T_{2, 1}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{C_{m, 1}~\mbox{on}~T_{m, 1}} \qwx[1] & \qw \\
& \gate{C_{1, 2}~\mbox{on}~T_{1, 2}} \qwx[1] & \gate{C_{2, 2}~\mbox{on}~T_{2, 2}} \qwx[1] & \gate{\cdots} \qwx[1] & \gate{C_{m, 2}~\mbox{on}~T_{m, 2}} \qwx[1] & \qw \\
& \gate{\vdots} \qwx[1] & \gate{\vdots} \qwx[1] & \gate{\ddots} \qwx[1] & \gate{\vdots} \qwx[1] & \qw \\
& \gate{C_{1, l}~\mbox{on}~T_{1, l}} & \gate{C_{2, l}~\mbox{on}~T_{2, l}} & \gate{\cdots} & \gate{C_{m, l}~\mbox{on}~T_{m, l}} & \qw
} \end{array}

stored_expr.style_options()

name	description	default	current value	related methods
spacing	change the spacing of a circuit using the format '@C=1em @R=.7em' where C is the column spacing and R is the row spacing	@C=1em @R=.7em	@C=1em @R=.7em

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3
3	ExprRange	lambda_map: 4 start_index: 13 end_index: 5
4	Lambda	parameter: 30 body: 7
5	Variable
6	ExprTuple	30
7	ExprTuple	8, 9
8	ExprRange	lambda_map: 10 start_index: 13 end_index: 11
9	ExprRange	lambda_map: 12 start_index: 13 end_index: 14
10	Lambda	parameter: 31 body: 15
11	Variable
12	Lambda	parameter: 31 body: 17
13	Literal
14	Variable
15	Operation	operator: 19 operands: 18
16	ExprTuple	31
17	Operation	operator: 19 operands: 20
18	NamedExprs	element: 21 targets: 22
19	Literal
20	NamedExprs	element: 23 targets: 24
21	IndexedVar	variable: 25 indices: 29
22	IndexedVar	variable: 26 indices: 29
23	IndexedVar	variable: 27 indices: 29
24	IndexedVar	variable: 28 indices: 29
25	Variable
26	Variable
27	Variable
28	Variable
29	ExprTuple	30, 31
30	Variable
31	Variable