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 ExprRange, IndexedVar, U, Variable, VertExprArray, i, m
from proveit.numbers import Interval, one
from proveit.physics.quantum import var_ket_psi
from proveit.physics.quantum.circuits import MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = Qcircuit(vert_expr_array = VertExprArray(ExprRange(sub_expr1, IndexedVar(U, sub_expr1), one, i).with_front_expansion(1), [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = var_ket_psi, part = sub_expr1), targets = Interval(one, m)), 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{\begin{array}{c} \uparrow \\U_{1} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\U_{i} \\ \downarrow\end{array}} & \qout{\lvert \psi \rangle}
} \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, 4
3	ExprRange	lambda_map: 5 start_index: 23 end_index: 6
4	ExprTuple	7
5	Lambda	parameter: 22 body: 8
6	Variable
7	ExprRange	lambda_map: 9 start_index: 23 end_index: 24
8	IndexedVar	variable: 10 index: 22
9	Lambda	parameter: 22 body: 12
10	Variable
11	ExprTuple	22
12	Operation	operator: 13 operands: 14
13	Literal
14	NamedExprs	element: 15 targets: 16
15	Operation	operator: 17 operands: 18
16	Operation	operator: 19 operands: 20
17	Literal
18	NamedExprs	state: 21 part: 22
19	Literal
20	ExprTuple	23, 24
21	Variable
22	Variable
23	Literal
24	Variable