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 U
from proveit.core_expr_types import v_i, v_j
from proveit.linear_algebra import Adj
from proveit.physics.quantum import Bra, Ket, Qmult

# build up the expression from sub-expressions
expr = Qmult(Bra(v_i), Adj(U), U, Ket(v_j))

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())

\langle v_{i} \rvert \thinspace U^{\dagger} \thinspace U \thinspace \lvert v_{j} \rangle

stored_expr.style_options()

name	description	default	current value	related methods
operation	'infix' or 'function' style formatting	infix	infix
wrap_positions	position(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.	()	()	('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justification	if any wrap positions are set, justify to the 'left', 'center', or 'right'	center	center	('with_justification',)

# display the expression information
stored_expr.expr_info()

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