# from the theory of proveit.physics.quantum¶

In [1]:
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.
# import Expression classes needed to build the expression
from proveit.logic import Equals
from proveit.numbers import Add, frac, sqrt, two
from proveit.physics.quantum import ket0, ket1, ket_plus

In [2]:
# build up the expression from sub-expressions
expr = Equals(ket_plus, frac(Add(ket0, ket1), sqrt(two)))

Out[2]:
expr:
In [3]:
# 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

In [4]:
# Show the LaTeX representation of the expression for convenience if you need it.
print(expr.latex())

\lvert + \rangle = \frac{\lvert 0 \rangle + \lvert 1 \rangle}{\sqrt{2}}

In [5]:
expr.style_options()

Out[5]:
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
wrap_positionsposition(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', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
directionDirection of the relation (normal or reversed)normalnormal('with_direction_reversed', 'is_reversed')
In [6]:
# display the expression information
expr.expr_info()

Out[6]:
core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 4
3Operationoperator: 18
operand: 7
4Operationoperator: 20
operands: 6
5ExprTuple7
6ExprTuple8, 9
7Literal
8Operationoperator: 10
operands: 11
9Operationoperator: 12
operands: 13
10Literal
11ExprTuple14, 15
12Literal
13ExprTuple24, 16
14Operationoperator: 18
operand: 22
15Operationoperator: 18
operand: 23
16Operationoperator: 20
operands: 21
17ExprTuple22
18Literal
19ExprTuple23
20Literal
21ExprTuple23, 24
22Literal
23Literal
24Literal