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Expression of type Qcircuit

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 C, ExprRange, IndexedVar, T, Variable, VertExprArray, k, m
from proveit.numbers import one
from proveit.physics.quantum.circuits import MultiQubitElem, Qcircuit
In [2]:
# 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(C, sub_expr3), targets = IndexedVar(T, sub_expr3)), one, k)], one, m)))
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}{c} \Qcircuit@C=1em @R=.7em{
& \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, k}~\mbox{on}~T_{1, k}} & \gate{C_{2, k}~\mbox{on}~T_{2, k}} & \gate{\cdots} & \gate{C_{m, k}~\mbox{on}~T_{m, k}} & \qw
} \end{array}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
spacingchange 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
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3
3ExprRangelambda_map: 4
start_index: 10
end_index: 5
4Lambdaparameter: 21
body: 7
5Variable
6ExprTuple21
7ExprTuple8
8ExprRangelambda_map: 9
start_index: 10
end_index: 11
9Lambdaparameter: 22
body: 13
10Literal
11Variable
12ExprTuple22
13Operationoperator: 14
operands: 15
14Literal
15NamedExprselement: 16
targets: 17
16IndexedVarvariable: 18
indices: 20
17IndexedVarvariable: 19
indices: 20
18Variable
19Variable
20ExprTuple21, 22
21Variable
22Variable