Expression of type Conditional ¶

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, b
from proveit.logic import And, InClass, InSet, Set, SetOfAll
from proveit.numbers import one, zero
from proveit.physics.quantum import QubitSpace, normalized_var_ket_psi, var_ket_psi
from proveit.physics.quantum.circuits import qubit_meas
from proveit.statistics import SampleSpaces

# build up the expression from sub-expressions
expr = Conditional(InClass(SetOfAll(instance_param_or_params = [b], instance_element = qubit_meas, domain = Set(zero, one)), SampleSpaces), And(InSet(var_ket_psi, QubitSpace), normalized_var_ket_psi))

# 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\{\begin{array}{c} \Qcircuit@C=1em @R=.7em{
\qin{\lvert \psi \rangle} & \meter & \qout{\lvert b \rangle}
} \end{array}\right\}_{b \in \left\{0, 1\right\}} \underset{{\scriptscriptstyle c}}{\in} \textrm{SampleSpaces} \textrm{ if } \lvert \psi \rangle \in \mathbb{C}^{2} ,  \left \|\lvert \psi \rangle\right \| = 1\right..

stored_expr.style_options()

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions
0	Conditional	value: 1 condition: 2
1	Operation	operator: 3 operands: 4
2	Operation	operator: 5 operands: 6
3	Literal
4	ExprTuple	7, 8
5	Literal
6	ExprTuple	9, 10
7	Operation	operator: 11 operand: 16
8	Literal
9	Operation	operator: 30 operands: 13
10	Operation	operator: 14 operands: 15
11	Literal
12	ExprTuple	16
13	ExprTuple	49, 17
14	Literal
15	ExprTuple	18, 48
16	Lambda	parameter: 54 body: 19
17	Operation	operator: 20 operands: 21
18	Operation	operator: 22 operand: 49
19	Conditional	value: 24 condition: 25
20	Literal
21	ExprTuple	26, 27
22	Literal
23	ExprTuple	49
24	Operation	operator: 28 operands: 29
25	Operation	operator: 30 operands: 31
26	Literal
27	Literal
28	Literal
29	ExprTuple	32, 33, 34
30	Literal
31	ExprTuple	54, 35
32	ExprTuple	36
33	ExprTuple	37
34	ExprTuple	38
35	Operation	operator: 39 operands: 40
36	Operation	operator: 41 operands: 42
37	Operation	operator: 43 operands: 44
38	Operation	operator: 45 operands: 46
39	Literal
40	ExprTuple	47, 48
41	Literal
42	NamedExprs	state: 49
43	Literal
44	NamedExprs	basis: 50
45	Literal
46	NamedExprs	state: 51
47	Literal
48	Literal
49	Variable
50	Literal
51	Operation	operator: 52 operand: 54
52	Literal
53	ExprTuple	54
54	Variable

Expression of type Conditional¶

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

Expression of type Conditional ¶

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