Expression of type Qmult

from the theory of proveit.physics.quantum.algebra

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 A, B, C, alpha, beta, gamma
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi

# build up the expression from sub-expressions
expr = Qmult(Qmult(bra_varphi, alpha, VecAdd(A, B, C), beta, ket_psi, gamma, bra_varphi))

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[\langle \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert\right]

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix

# display the expression information
stored_expr.expr_info()

	core type	sub-expressions	expression
0	Operation	operator: 3 operand: 2
1	ExprTuple	2
2	Operation	operator: 3 operands: 4
3	Literal
4	ExprTuple	10, 5, 6, 7, 8, 9, 10
5	Variable
6	Operation	operator: 11 operands: 12
7	Variable
8	Operation	operator: 13 operand: 20
9	Variable
10	Operation	operator: 15 operand: 21
11	Literal
12	ExprTuple	17, 18, 19
13	Literal
14	ExprTuple	20
15	Literal
16	ExprTuple	21
17	Variable
18	Variable
19	Variable
20	Variable
21	Variable