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Expression of type MultiQubitElem

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 IndexedVar, N, Variable, m
from proveit.core_expr_types import A_1_to_m
from proveit.linear_algebra import TensorProd
from proveit.numbers import Interval, one
from proveit.physics.quantum.circuits import MultiQubitElem, Output
In [2]:
# build up the expression from sub-expressions
expr = MultiQubitElem(element = Output(state = TensorProd(A_1_to_m), part = Variable("_b", latex_format = r"{_{-}b}")), targets = Interval(one, IndexedVar(N, 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{
& & \qout{A_{1} {\otimes}  A_{2} {\otimes}  \ldots {\otimes}  A_{m}~\mbox{part}~{_{-}b}~\mbox{on}~\{1~\ldotp \ldotp~N_{m}\}} 
} \end{array}
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2NamedExprselement: 3
targets: 4
3Operationoperator: 5
operands: 6
4Operationoperator: 7
operands: 8
5Literal
6NamedExprsstate: 9
part: 10
7Literal
8ExprTuple18, 11
9Operationoperator: 12
operands: 13
10Variable
11IndexedVarvariable: 14
index: 19
12Literal
13ExprTuple16
14Variable
15ExprTuple19
16ExprRangelambda_map: 17
start_index: 18
end_index: 19
17Lambdaparameter: 23
body: 20
18Literal
19Variable
20IndexedVarvariable: 21
index: 23
21Variable
22ExprTuple23
23Variable