Expression of type Qcircuit ¶

from the theory of proveit.physics.quantum.QPE ¶

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, Variable, VertExprArray, m
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum import NumKet, Z
from proveit.physics.quantum.QPE import _Psi_ket, _ket_u, _s, _s_wire, _t
from proveit.physics.quantum.circuits import Input, Measure, MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Interval(one, _t)
sub_expr3 = Interval(Add(_t, one), Add(_t, _s))
expr = Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, MultiQubitElem(element = Input(state = _Psi_ket, part = sub_expr1), targets = sub_expr2), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Input(state = _ket_u, part = sub_expr1), targets = sub_expr3), one, _s)], [ExprRange(sub_expr1, Measure(basis = Z), one, _t), _s_wire], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = NumKet(m, _t), part = sub_expr1), targets = sub_expr2), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _ket_u, part = sub_expr1), targets = sub_expr3), one, _s)]))

# 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

# 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{
\multiqin{3}{\lvert \Psi \rangle} & \meter & \multiqout{3}{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle} & \measure{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert m \rangle_{t}} \\
\ghostqin{\lvert \Psi \rangle} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert u \rangle} & { /^{s} } \qw & \qout{\lvert u \rangle}
} \end{array}

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions
0	Operation	operator: 1 operands: 2
1	Literal
2	ExprTuple	3, 4, 5
3	ExprTuple	6, 7
4	ExprTuple	8, 9
5	ExprTuple	10, 11
6	ExprRange	lambda_map: 12 start_index: 62 end_index: 63
7	ExprRange	lambda_map: 13 start_index: 62 end_index: 64
8	ExprRange	lambda_map: 14 start_index: 62 end_index: 63
9	ExprRange	lambda_map: 15 start_index: 62 end_index: 64
10	ExprRange	lambda_map: 16 start_index: 62 end_index: 63
11	ExprRange	lambda_map: 17 start_index: 62 end_index: 64
12	Lambda	parameter: 53 body: 18
13	Lambda	parameter: 53 body: 19
14	Lambda	parameter: 53 body: 20
15	Lambda	parameter: 53 body: 21
16	Lambda	parameter: 53 body: 22
17	Lambda	parameter: 53 body: 24
18	Operation	operator: 32 operands: 25
19	Operation	operator: 32 operands: 26
20	Operation	operator: 27 operands: 28
21	Operation	operator: 29 operands: 30
22	Operation	operator: 32 operands: 31
23	ExprTuple	53
24	Operation	operator: 32 operands: 33
25	NamedExprs	element: 34 targets: 39
26	NamedExprs	element: 35 targets: 41
27	Literal
28	NamedExprs	basis: 36
29	Literal
30	NamedExprs	operation: 37
31	NamedExprs	element: 38 targets: 39
32	Literal
33	NamedExprs	element: 40 targets: 41
34	Operation	operator: 43 operands: 42
35	Operation	operator: 43 operands: 47
36	Literal
37	Literal
38	Operation	operator: 46 operands: 44
39	Operation	operator: 48 operands: 45
40	Operation	operator: 46 operands: 47
41	Operation	operator: 48 operands: 49
42	NamedExprs	state: 50 part: 53
43	Literal
44	NamedExprs	state: 51 part: 53
45	ExprTuple	62, 63
46	Literal
47	NamedExprs	state: 52 part: 53
48	Literal
49	ExprTuple	54, 55
50	Literal
51	Operation	operator: 56 operands: 57
52	Literal
53	Variable
54	Operation	operator: 59 operands: 58
55	Operation	operator: 59 operands: 60
56	Literal
57	ExprTuple	61, 63
58	ExprTuple	63, 62
59	Literal
60	ExprTuple	63, 64
61	Variable
62	Literal
63	Literal
64	Literal

Expression of type Qcircuit¶

from the theory of proveit.physics.quantum.QPE¶

Expression of type Qcircuit ¶

from the theory of proveit.physics.quantum.QPE ¶