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Expression of type ExprTuple

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 ExprRange, ExprTuple, Function, IndexedVar, Q, Variable, alpha, beta, c, f, gamma, j
from proveit.linear_algebra import VecSum
from proveit.numbers import one
from proveit.physics.quantum import Qmult, bra_varphi, ket_psi
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Variable("_a", latex_format = r"{_{-}a}")
sub_expr2 = [ExprRange(sub_expr1, IndexedVar(c, sub_expr1), one, j)]
expr = ExprTuple(Qmult(bra_varphi, alpha, VecSum(index_or_indices = sub_expr2, summand = Function(f, sub_expr2), condition = Function(Q, sub_expr2)), beta, ket_psi, gamma, bra_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())
\left(\langle \varphi \rvert \thinspace \alpha \thinspace \left[\sum_{c_{1}, c_{2}, \ldots, c_{j}~|~Q\left(c_{1}, c_{2}, \ldots, c_{j}\right)}~f\left(c_{1}, c_{2}, \ldots, c_{j}\right)\right] \thinspace \beta \thinspace \lvert \psi \rangle \thinspace \gamma \thinspace \langle \varphi \rvert\right)
In [5]:
stored_expr.style_options()
no style options
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1
1Operationoperator: 2
operands: 3
2Literal
3ExprTuple9, 4, 5, 6, 7, 8, 9
4Variable
5Operationoperator: 10
operand: 16
6Variable
7Operationoperator: 12
operand: 17
8Variable
9Operationoperator: 14
operand: 18
10Literal
11ExprTuple16
12Literal
13ExprTuple17
14Literal
15ExprTuple18
16Lambdaparameters: 24
body: 19
17Variable
18Variable
19Conditionalvalue: 20
condition: 21
20Operationoperator: 22
operands: 24
21Operationoperator: 23
operands: 24
22Variable
23Variable
24ExprTuple25
25ExprRangelambda_map: 26
start_index: 27
end_index: 28
26Lambdaparameter: 32
body: 29
27Literal
28Variable
29IndexedVarvariable: 30
index: 32
30Variable
31ExprTuple32
32Variable