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Expression of type Qmult

from the theory of proveit.physics.quantum.algebra

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.
%load_expr # Load the stored expression as 'stored_expr'
# import Expression classes needed to build the expression
from proveit import B, D, alpha, beta
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, ket_psi, ket_varphi
In [2]:
# build up the expression from sub-expressions
expr = Qmult(alpha, D, beta, VecAdd(Qmult(B, ket_psi), ket_varphi))
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(stored_expr.latex())
\alpha \thinspace D \thinspace \beta \thinspace \left(\left(B \thinspace \lvert \psi \rangle\right) + \lvert \varphi \rangle\right)
In [5]:
stored_expr.style_options()
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', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 10
operands: 1
1ExprTuple2, 3, 4, 5
2Variable
3Variable
4Variable
5Operationoperator: 6
operands: 7
6Literal
7ExprTuple8, 9
8Operationoperator: 10
operands: 11
9Operationoperator: 16
operand: 15
10Literal
11ExprTuple13, 14
12ExprTuple15
13Variable
14Operationoperator: 16
operand: 18
15Variable
16Literal
17ExprTuple18
18Variable