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Expression of type VecAdd

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, delta, 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 = VecAdd(Qmult(bra_varphi, alpha, A, beta, ket_psi, gamma, bra_varphi, delta), Qmult(bra_varphi, alpha, B, beta, ket_psi, gamma, bra_varphi, delta), Qmult(bra_varphi, alpha, C, beta, ket_psi, gamma, bra_varphi, delta))
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 A \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\right) + \left(\langle \varphi \rvert \thinspace \alpha \thinspace B \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\right) + \left(\langle \varphi \rvert \thinspace \alpha \thinspace C \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert \thinspace \delta\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: 1
operands: 2
1Literal
2ExprTuple3, 4, 5
3Operationoperator: 8
operands: 6
4Operationoperator: 8
operands: 7
5Operationoperator: 8
operands: 9
6ExprTuple17, 12, 10, 14, 15, 16, 17, 18
7ExprTuple17, 12, 11, 14, 15, 16, 17, 18
8Literal
9ExprTuple17, 12, 13, 14, 15, 16, 17, 18
10Variable
11Variable
12Variable
13Variable
14Variable
15Operationoperator: 19
operand: 23
16Variable
17Operationoperator: 21
operand: 24
18Variable
19Literal
20ExprTuple23
21Literal
22ExprTuple24
23Variable
24Variable