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Expression of type VertExprArray

from the theory of proveit.physics.quantum.circuits

In [1]:
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, V, Variable, VertExprArray, j, m
from proveit.numbers import Interval, one
from proveit.physics.quantum import var_ket_psi
from proveit.physics.quantum.circuits import Input, MultiQubitElem
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
expr = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Input(state = var_ket_psi, part = sub_expr1), targets = Interval(one, m)), one, m)], ExprRange(sub_expr1, IndexedVar(V, sub_expr1), one, j).with_front_expansion(1))
expr:
In [3]:
# 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
In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(stored_expr.latex())
\begin{array}{cccc} 
 \begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert \psi \rangle~\mbox{part}~1~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} & \multirow{4}{*}{$\begin{array}{c} \uparrow \\ V_{1} \\ \downarrow \end{array}$} & \multirow{4}{*}{$\begin{array}{c} \uparrow \\ \cdots \\ \downarrow \end{array}$} & \multirow{4}{*}{$\begin{array}{c} \uparrow \\ V_{j} \\ \downarrow \end{array}$} \\
\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& \qin{\lvert \psi \rangle~\mbox{part}~2~\mbox{on}~\{1~\ldotp \ldotp~m\}} & \qw 
} \end{array} &  &  &  \\
\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} &  &  &  \\
\end{array}

In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
justificationjustify to the 'left', 'center', or 'right' in the array cellscentercenterwith_justification
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1ExprTuple3
2ExprRangelambda_map: 4
start_index: 21
end_index: 5
3ExprRangelambda_map: 6
start_index: 21
end_index: 22
4Lambdaparameter: 20
body: 7
5Variable
6Lambdaparameter: 20
body: 8
7IndexedVarvariable: 9
index: 20
8Operationoperator: 11
operands: 12
9Variable
10ExprTuple20
11Literal
12NamedExprselement: 13
targets: 14
13Operationoperator: 15
operands: 16
14Operationoperator: 17
operands: 18
15Literal
16NamedExprsstate: 19
part: 20
17Literal
18ExprTuple21, 22
19Variable
20Variable
21Literal
22Variable