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Common QPE1_U_t_circuit of type Qcircuit

from the theory of proveit.physics.quantum.QPE

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.QPE import QPE1_U_t_circuit
In [2]:
# check that the built expression is the same as the stored expression
assert QPE1_U_t_circuit == stored_expr
assert QPE1_U_t_circuit._style_id == stored_expr._style_id
print("Passed sanity check: QPE1_U_t_circuit matches stored_expr")
Passed sanity check: QPE1_U_t_circuit 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{
& \control{} \qw \qwx[1] & \qw & \gate{\cdots} \qwx[1] & \qw & \qw \\
& \qw \qwx[1] & \control{} \qw \qwx[1] & \gate{\cdots} \qwx[1] & \qw & \qw \\
& \gate{\vdots} \qwx[1] & \gate{\vdots} \qwx[1] & \gate{\ddots} \qwx[1] & \gate{\vdots} & \qw \\
& \qw \qwx[1] & \qw \qwx[1] & \gate{\cdots} \qwx[1] & \control{} \qw \qwx[1] & \qw \\
& \gate{U^{2^{t - 1}}} & \gate{U^{2^{t - 2}}} & \gate{\cdots} & \gate{U^{2^{0}}} & { /^{s} } \qw
} \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
3ExprRangelambda_map: 4
start_index: 5
end_index: 6
4Lambdaparameter: 66
body: 7
5Operationoperator: 58
operands: 8
6Literal
7ExprTuple9, 10
8ExprTuple11, 63
9ExprRangelambda_map: 12
start_index: 63
end_index: 62
10ExprRangelambda_map: 13
start_index: 63
end_index: 54
11Operationoperator: 64
operand: 62
12Lambdaparameter: 45
body: 15
13Lambdaparameter: 45
body: 17
14ExprTuple62
15Operationoperator: 18
operands: 19
16ExprTuple45
17Operationoperator: 32
operands: 20
18Literal
19ExprTuple21, 22
20NamedExprselement: 23
targets: 24
21Conditionalvalue: 25
condition: 26
22Conditionalvalue: 27
condition: 28
23Operationoperator: 35
operands: 29
24Operationoperator: 30
operands: 31
25Operationoperator: 32
operands: 33
26Operationoperator: 34
operands: 38
27Operationoperator: 35
operands: 36
28Operationoperator: 37
operands: 38
29NamedExprsoperation: 39
part: 45
30Literal
31ExprTuple55, 40
32Literal
33NamedExprselement: 41
targets: 42
34Literal
35Literal
36NamedExprsoperation: 43
37Literal
38ExprTuple44, 45
39Operationoperator: 46
operands: 47
40Operationoperator: 58
operands: 48
41Literal
42Operationoperator: 49
operand: 55
43Literal
44Operationoperator: 58
operands: 51
45Variable
46Literal
47ExprTuple52, 53
48ExprTuple62, 54
49Literal
50ExprTuple55
51ExprTuple66, 62
52Variable
53Operationoperator: 56
operands: 57
54Variable
55Operationoperator: 58
operands: 59
56Literal
57ExprTuple60, 61
58Literal
59ExprTuple62, 63
60Literal
61Operationoperator: 64
operand: 66
62Variable
63Literal
64Literal
65ExprTuple66
66Variable