Expression of type Exp

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 m, n
from proveit.numbers import Abs, Exp, two
from proveit.physics.quantum import NumBra, Qmult, var_ket_psi

# build up the expression from sub-expressions
expr = Exp(Abs(Qmult(NumBra(n, m), var_ket_psi)), two)

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|{_{m}}\langle n \rvert \thinspace \lvert \psi \rangle\right|^{2}

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	ExprTuple	3, 4
3	Operation	operator: 5 operand: 7
4	Literal
5	Literal
6	ExprTuple	7
7	Operation	operator: 8 operands: 9
8	Literal
9	ExprTuple	10, 11
10	Operation	operator: 12 operands: 13
11	Variable
12	Literal
13	ExprTuple	14, 15
14	Variable
15	Variable