Expression of type ExprTuple ¶

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, ExprTuple, Variable, VertExprArray, n
from proveit.logic import Equals, Not, TRUE
from proveit.numbers import Add, Interval, one
from proveit.physics.quantum import NumKet, Z, ket_plus
from proveit.physics.quantum.QPE import QPE, _U, _ket_u, _phase_est_circuit, _s, _s_wire, _t
from proveit.physics.quantum.circuits import Gate, Input, Measure, MultiQubitElem, Output, Qcircuit

# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = Add(_t, one)
sub_expr3 = Add(_t, _s)
sub_expr4 = Interval(sub_expr2, sub_expr3)
sub_expr5 = MultiQubitElem(element = Gate(operation = QPE(_U, _t), part = sub_expr1), targets = Interval(one, sub_expr3))
expr = ExprTuple(Not(Equals(_phase_est_circuit, Qcircuit(vert_expr_array = VertExprArray([ExprRange(sub_expr1, Input(state = ket_plus), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Input(state = _ket_u, part = sub_expr1), targets = sub_expr4), one, _s)], [ExprRange(sub_expr1, sub_expr5, one, _t), ExprRange(sub_expr1, sub_expr5, sub_expr2, sub_expr3)], [ExprRange(sub_expr1, Measure(basis = Z), one, _t), _s_wire], [ExprRange(sub_expr1, MultiQubitElem(element = Output(state = NumKet(n, _t), part = sub_expr1), targets = Interval(one, _t)), one, _t), ExprRange(sub_expr1, MultiQubitElem(element = Output(state = _ket_u, part = sub_expr1), targets = sub_expr4), one, _s)])))), TRUE)

# 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())

\left(\lnot \left(\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert + \rangle} & \multigate{4}{\textrm{QPE}\left(U, t\right)} & \meter & \multiqout{3}{\lvert m \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} & \ghost{\textrm{QPE}\left(U, t\right)} & \measure{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert m \rangle_{t}} \\
\qin{\lvert u \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & { /^{s} } \qw & \qout{\lvert u \rangle}
} \end{array}\right) = \left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert + \rangle} & \multigate{4}{\textrm{QPE}\left(U, t\right)} & \meter & \multiqout{3}{\lvert n \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert n \rangle_{t}} \\
\qin{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} & \ghost{\textrm{QPE}\left(U, t\right)} & \measure{\begin{array}{c}:\\ \left(t - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert n \rangle_{t}} \\
\qin{\lvert + \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & \meter & \ghostqout{\lvert n \rangle_{t}} \\
\qin{\lvert u \rangle} & \ghost{\textrm{QPE}\left(U, t\right)} & { /^{s} } \qw & \qout{\lvert u \rangle}
} \end{array}\right)\right), \top\right)

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

name	description	default	current value	related methods
wrap_positions	position(s) at which wrapping is to occur; 'n' is after the nth comma.	()	()	('with_wrapping_at',)
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	left	left	('with_justification',)

	core type	sub-expressions
0	ExprTuple	1, 2
1	Operation	operator: 3 operand: 5
2	Literal
3	Literal
4	ExprTuple	5
5	Operation	operator: 6 operands: 7
6	Literal
7	ExprTuple	8, 9
8	Operation	operator: 11 operands: 10
9	Operation	operator: 11 operands: 12
10	ExprTuple	14, 15, 16, 13
11	Literal
12	ExprTuple	14, 15, 16, 17
13	ExprTuple	18, 26
14	ExprTuple	19, 20
15	ExprTuple	21, 22
16	ExprTuple	23, 24
17	ExprTuple	25, 26
18	ExprRange	lambda_map: 27 start_index: 97 end_index: 98
19	ExprRange	lambda_map: 28 start_index: 97 end_index: 98
20	ExprRange	lambda_map: 29 start_index: 97 end_index: 99
21	ExprRange	lambda_map: 30 start_index: 97 end_index: 98
22	ExprRange	lambda_map: 30 start_index: 84 end_index: 85
23	ExprRange	lambda_map: 31 start_index: 97 end_index: 98
24	ExprRange	lambda_map: 32 start_index: 97 end_index: 99
25	ExprRange	lambda_map: 33 start_index: 97 end_index: 98
26	ExprRange	lambda_map: 34 start_index: 97 end_index: 99
27	Lambda	parameter: 83 body: 35
28	Lambda	parameter: 83 body: 36
29	Lambda	parameter: 83 body: 37
30	Lambda	parameter: 83 body: 38
31	Lambda	parameter: 83 body: 39
32	Lambda	parameter: 83 body: 40
33	Lambda	parameter: 83 body: 41
34	Lambda	parameter: 83 body: 43
35	Operation	operator: 52 operands: 44
36	Operation	operator: 68 operands: 45
37	Operation	operator: 52 operands: 46
38	Operation	operator: 52 operands: 47
39	Operation	operator: 48 operands: 49
40	Operation	operator: 69 operands: 50
41	Operation	operator: 52 operands: 51
42	ExprTuple	83
43	Operation	operator: 52 operands: 53
44	NamedExprs	element: 54 targets: 62
45	NamedExprs	state: 55
46	NamedExprs	element: 56 targets: 64
47	NamedExprs	element: 57 targets: 58
48	Literal
49	NamedExprs	basis: 59
50	NamedExprs	operation: 60
51	NamedExprs	element: 61 targets: 62
52	Literal
53	NamedExprs	element: 63 targets: 64
54	Operation	operator: 74 operands: 65
55	Operation	operator: 66 operand: 79
56	Operation	operator: 68 operands: 75
57	Operation	operator: 69 operands: 70
58	Operation	operator: 76 operands: 71
59	Literal
60	Literal
61	Operation	operator: 74 operands: 72
62	Operation	operator: 76 operands: 73
63	Operation	operator: 74 operands: 75
64	Operation	operator: 76 operands: 77
65	NamedExprs	state: 78 part: 83
66	Literal
67	ExprTuple	79
68	Literal
69	Literal
70	NamedExprs	operation: 80 part: 83
71	ExprTuple	97, 85
72	NamedExprs	state: 81 part: 83
73	ExprTuple	97, 98
74	Literal
75	NamedExprs	state: 82 part: 83
76	Literal
77	ExprTuple	84, 85
78	Operation	operator: 89 operands: 86
79	Literal
80	Operation	operator: 87 operands: 88
81	Operation	operator: 89 operands: 90
82	Literal
83	Variable
84	Operation	operator: 92 operands: 91
85	Operation	operator: 92 operands: 93
86	ExprTuple	94, 98
87	Literal
88	ExprTuple	95, 98
89	Literal
90	ExprTuple	96, 98
91	ExprTuple	98, 97
92	Literal
93	ExprTuple	98, 99
94	Variable
95	Literal
96	Variable
97	Literal
98	Literal
99	Literal

Expression of type ExprTuple¶

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

Expression of type ExprTuple ¶

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