Expression of type Output

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.linear_algebra import ScalarMult, VecAdd
from proveit.numbers import Exp, Mult, e, frac, i, one, pi, sqrt, two
from proveit.physics.quantum import ket0, ket1, varphi
from proveit.physics.quantum.circuits import Output

# build up the expression from sub-expressions
expr = Output(state = ScalarMult(frac(one, sqrt(two)), VecAdd(ket0, ScalarMult(Exp(e, Mult(two, pi, i, varphi)), ket1))))

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())

\begin{array}{c} \Qcircuit@C=1em @R=.7em{
& & \qout{\frac{1}{\sqrt{2}} \cdot \left(\lvert 0 \rangle + \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi} \cdot \lvert 1 \rangle\right)\right)} 
} \end{array}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 1 operands: 2
1	Literal
2	NamedExprs	state: 3
3	Operation	operator: 15 operands: 4
4	ExprTuple	5, 6
5	Operation	operator: 21 operands: 7
6	Operation	operator: 8 operands: 9
7	ExprTuple	29, 10
8	Literal
9	ExprTuple	11, 12
10	Operation	operator: 23 operands: 13
11	Operation	operator: 25 operand: 18
12	Operation	operator: 15 operands: 16
13	ExprTuple	32, 17
14	ExprTuple	18
15	Literal
16	ExprTuple	19, 20
17	Operation	operator: 21 operands: 22
18	Literal
19	Operation	operator: 23 operands: 24
20	Operation	operator: 25 operand: 29
21	Literal
22	ExprTuple	29, 32
23	Literal
24	ExprTuple	27, 28
25	Literal
26	ExprTuple	29
27	Literal
28	Operation	operator: 30 operands: 31
29	Literal
30	Literal
31	ExprTuple	32, 33, 34, 35
32	Literal
33	Literal
34	Literal
35	Variable