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Expression of type ExprTuple

from the theory of proveit.physics.quantum.QPE

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
import proveit
import proveit.numbers
from proveit import ExprTuple
from proveit.numbers import Exp, Mult, e, pi, two
from proveit.physics.quantum import Ket
from proveit.physics.quantum.QPE import _phase
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Exp(e, Mult(two, pi, proveit.numbers.i, _phase, proveit.i)), Ket(proveit.i))
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(\mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \varphi \cdot i}, \lvert i \rangle\right)
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; 'n' is after the nth comma.()()('with_wrapping_at',)
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'leftleft('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0ExprTuple1, 2
1Operationoperator: 3
operands: 4
2Operationoperator: 5
operand: 15
3Literal
4ExprTuple7, 8
5Literal
6ExprTuple15
7Literal
8Operationoperator: 9
operands: 10
9Literal
10ExprTuple11, 12, 13, 14, 15
11Literal
12Literal
13Literal
14Literal
15Variable