Expression of type ExprTuple

from the theory of proveit.physics.quantum.circuits

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 Conditional, ExprTuple, Lambda, m, n
from proveit.logic import And, Equals, InSet
from proveit.numbers import Abs, Exp, two
from proveit.physics.quantum import NumBra, Qmult, m_ket_domain, normalized_var_ket_psi, var_ket_psi
from proveit.physics.quantum.circuits import register_meas
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = ExprTuple(Lambda(var_ket_psi, Conditional(Equals(Prob(register_meas), Exp(Abs(Qmult(NumBra(n, m), var_ket_psi)), two)), And(InSet(var_ket_psi, m_ket_domain), normalized_var_ket_psi))))

expr:

# 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(\lvert \psi \rangle \mapsto \left\{\textrm{Pr}\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\multiqin{3}{\lvert \psi \rangle} & \meter & \multiqout{3}{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \meter & \ghostqout{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \measure{\begin{array}{c}:\\ \left(m - 3\right) \times \\:\end{array}} \qw & \ghostqout{\lvert n \rangle_{m}} \\
\ghostqin{\lvert \psi \rangle} & \meter & \ghostqout{\lvert n \rangle_{m}}
} \end{array}\right) = \left|{_{m}}\langle n \rvert \thinspace \lvert \psi \rangle\right|^{2} \textrm{ if } \lvert \psi \rangle \in \mathbb{C}^{2^{m}} ,  \left \|\lvert \psi \rangle\right \| = 1\right..\right)

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	ExprTuple	1
1	Lambda	parameter: 69 body: 2
2	Conditional	value: 3 condition: 4
3	Operation	operator: 17 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	8, 9
6	Literal
7	ExprTuple	10, 11
8	Operation	operator: 12 operand: 19
9	Operation	operator: 42 operands: 14
10	Operation	operator: 15 operands: 16
11	Operation	operator: 17 operands: 18
12	Literal
13	ExprTuple	19
14	ExprTuple	20, 48
15	Literal
16	ExprTuple	69, 21
17	Literal
18	ExprTuple	22, 72
19	Operation	operator: 23 operands: 24
20	Operation	operator: 25 operand: 34
21	Operation	operator: 27 operands: 28
22	Operation	operator: 29 operand: 69
23	Literal
24	ExprTuple	31, 32, 33
25	Literal
26	ExprTuple	34
27	Literal
28	ExprTuple	35, 36
29	Literal
30	ExprTuple	69
31	ExprTuple	37
32	ExprTuple	38
33	ExprTuple	39
34	Operation	operator: 40 operands: 41
35	Literal
36	Operation	operator: 42 operands: 43
37	ExprRange	lambda_map: 44 start_index: 72 end_index: 76
38	ExprRange	lambda_map: 45 start_index: 72 end_index: 76
39	ExprRange	lambda_map: 46 start_index: 72 end_index: 76
40	Literal
41	ExprTuple	47, 69
42	Literal
43	ExprTuple	48, 76
44	Lambda	parameter: 71 body: 49
45	Lambda	parameter: 71 body: 50
46	Lambda	parameter: 71 body: 52
47	Operation	operator: 53 operands: 74
48	Literal
49	Operation	operator: 57 operands: 54
50	Operation	operator: 55 operands: 56
51	ExprTuple	71
52	Operation	operator: 57 operands: 58
53	Literal
54	NamedExprs	element: 59 targets: 62
55	Literal
56	NamedExprs	basis: 60
57	Literal
58	NamedExprs	element: 61 targets: 62
59	Operation	operator: 63 operands: 64
60	Literal
61	Operation	operator: 65 operands: 66
62	Operation	operator: 67 operands: 68
63	Literal
64	NamedExprs	state: 69 part: 71
65	Literal
66	NamedExprs	state: 70 part: 71
67	Literal
68	ExprTuple	72, 76
69	Variable
70	Operation	operator: 73 operands: 74
71	Variable
72	Literal
73	Literal
74	ExprTuple	75, 76
75	Variable
76	Variable