Expression of type NamedExprs

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 IndexedVar, NamedExprs, Variable
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

# build up the expression from sub-expressions
expr = NamedExprs(("state", ScalarMult(frac(one, sqrt(two)), VecAdd(ket0, ScalarMult(Exp(e, Mult(two, pi, i, IndexedVar(varphi, Variable("_a", latex_format = r"{_{-}a}")))), 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())

\left\{ \begin{array}{l}
{\rm state}: \left(\frac{1}{\sqrt{2}} \cdot \left(\lvert 0 \rangle + \left(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi_{{_{-}a}}} \cdot \lvert 1 \rangle\right)\right)\right)\\
\end{array} \right\}

stored_expr.style_options()

no style options

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	NamedExprs	state: 1
1	Operation	operator: 13 operands: 2
2	ExprTuple	3, 4
3	Operation	operator: 19 operands: 5
4	Operation	operator: 6 operands: 7
5	ExprTuple	27, 8
6	Literal
7	ExprTuple	9, 10
8	Operation	operator: 21 operands: 11
9	Operation	operator: 23 operand: 16
10	Operation	operator: 13 operands: 14
11	ExprTuple	30, 15
12	ExprTuple	16
13	Literal
14	ExprTuple	17, 18
15	Operation	operator: 19 operands: 20
16	Literal
17	Operation	operator: 21 operands: 22
18	Operation	operator: 23 operand: 27
19	Literal
20	ExprTuple	27, 30
21	Literal
22	ExprTuple	25, 26
23	Literal
24	ExprTuple	27
25	Literal
26	Operation	operator: 28 operands: 29
27	Literal
28	Literal
29	ExprTuple	30, 31, 32, 33
30	Literal
31	Literal
32	Literal
33	IndexedVar	variable: 34 index: 36
34	Variable
35	ExprTuple	36
36	Variable