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Common circuit_Ua of type Qcircuit

from the theory of proveit.physics.quantum.circuits

In [1]:
import proveit
# Automation is not needed when only 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 the special expression
from proveit.physics.quantum.circuits import circuit_Ua
In [2]:
# check that the built expression is the same as the stored expression
assert circuit_Ua == stored_expr
assert circuit_Ua._style_id == stored_expr._style_id
print("Passed sanity check: circuit_Ua matches stored_expr")
Passed sanity check: circuit_Ua matches stored_expr
In [3]:
# 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 \\U_{2} \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\\cdots \\ \downarrow\end{array}} & \gate{\begin{array}{c} \uparrow \\U_{m} \\ \downarrow\end{array}} & \qout{a}
} \end{array}
In [4]:
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 [5]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3ExprRangelambda_map: 5
start_index: 23
end_index: 6
4ExprTuple7
5Lambdaparameter: 22
body: 8
6Variable
7ExprRangelambda_map: 9
start_index: 23
end_index: 24
8IndexedVarvariable: 10
index: 22
9Lambdaparameter: 22
body: 12
10Variable
11ExprTuple22
12Operationoperator: 13
operands: 14
13Literal
14NamedExprselement: 15
targets: 16
15Operationoperator: 17
operands: 18
16Operationoperator: 19
operands: 20
17Literal
18NamedExprsstate: 21
part: 22
19Literal
20ExprTuple23, 24
21Variable
22Variable
23Literal
24Variable