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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 A, B, C, alpha, beta, gamma
from proveit.linear_algebra import VecAdd
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi
In [2]:
# build up the expression from sub-expressions
expr = Qmult(Qmult(bra_varphi, alpha, VecAdd(A, B, C), beta, ket_psi), gamma)
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())
\left(\langle \varphi \rvert \thinspace \alpha \thinspace \left(A + B + C\right) \thinspace \beta \thinspace \lvert \psi \rangle\right) \thinspace \gamma
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: 4
operands: 1
1ExprTuple2, 3
2Operationoperator: 4
operands: 5
3Variable
4Literal
5ExprTuple6, 7, 8, 9, 10
6Operationoperator: 11
operand: 17
7Variable
8Operationoperator: 13
operands: 14
9Variable
10Operationoperator: 15
operand: 21
11Literal
12ExprTuple17
13Literal
14ExprTuple18, 19, 20
15Literal
16ExprTuple21
17Variable
18Variable
19Variable
20Variable
21Variable