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, b
from proveit.logic import And, Equals, InSet, Set
from proveit.numbers import Abs, Exp, one, two, zero
from proveit.physics.quantum import Bra, Qmult, QubitSpace, normalized_var_ket_psi, var_ket_psi
from proveit.physics.quantum.circuits import qubit_meas
from proveit.statistics import Prob

# build up the expression from sub-expressions
expr = ExprTuple(Lambda([var_ket_psi, b], Conditional(Equals(Prob(qubit_meas), Exp(Abs(Qmult(Bra(b), var_ket_psi)), two)), And(InSet(var_ket_psi, QubitSpace), InSet(b, Set(zero, one)), 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(\left(\lvert \psi \rangle, b\right) \mapsto \left\{\textrm{Pr}\left(\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \meter & \qout{\lvert b \rangle}
} \end{array}\right) = \left|\langle b \rvert \thinspace \lvert \psi \rangle\right|^{2} \textrm{ if } \lvert \psi \rangle \in \mathbb{C}^{2} ,  b \in \left\{0, 1\right\} ,  \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	parameters: 2 body: 3
2	ExprTuple	58, 64
3	Conditional	value: 4 condition: 5
4	Operation	operator: 21 operands: 6
5	Operation	operator: 7 operands: 8
6	ExprTuple	9, 10
7	Literal
8	ExprTuple	11, 12, 13
9	Operation	operator: 14 operand: 23
10	Operation	operator: 16 operands: 17
11	Operation	operator: 19 operands: 18
12	Operation	operator: 19 operands: 20
13	Operation	operator: 21 operands: 22
14	Literal
15	ExprTuple	23
16	Literal
17	ExprTuple	24, 43
18	ExprTuple	58, 25
19	Literal
20	ExprTuple	64, 26
21	Literal
22	ExprTuple	27, 45
23	Operation	operator: 28 operands: 29
24	Operation	operator: 30 operand: 41
25	Operation	operator: 32 operands: 33
26	Operation	operator: 34 operands: 35
27	Operation	operator: 36 operand: 58
28	Literal
29	ExprTuple	38, 39, 40
30	Literal
31	ExprTuple	41
32	Literal
33	ExprTuple	42, 43
34	Literal
35	ExprTuple	44, 45
36	Literal
37	ExprTuple	58
38	ExprTuple	46
39	ExprTuple	47
40	ExprTuple	48
41	Operation	operator: 49 operands: 50
42	Literal
43	Literal
44	Literal
45	Literal
46	Operation	operator: 51 operands: 52
47	Operation	operator: 53 operands: 54
48	Operation	operator: 55 operands: 56
49	Literal
50	ExprTuple	57, 58
51	Literal
52	NamedExprs	state: 58
53	Literal
54	NamedExprs	basis: 59
55	Literal
56	NamedExprs	state: 60
57	Operation	operator: 61 operand: 64
58	Variable
59	Literal
60	Operation	operator: 62 operand: 64
61	Literal
62	Literal
63	ExprTuple	64
64	Variable