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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
from proveit import ExprTuple, k, m
from proveit.numbers import Exp, Mult, e, frac, i, pi, subtract, two
from proveit.physics.quantum.QPE import _phase, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(Exp(e, Mult(two, pi, i, subtract(_phase, frac(m, _two_pow_t)))), k)
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 \left(\varphi - \frac{m}{2^{t}}\right)}, k\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: 22
operands: 3
2Variable
3ExprTuple4, 5
4Literal
5Operationoperator: 6
operands: 7
6Literal
7ExprTuple24, 8, 9, 10
8Literal
9Literal
10Operationoperator: 11
operands: 12
11Literal
12ExprTuple13, 14
13Literal
14Operationoperator: 15
operand: 17
15Literal
16ExprTuple17
17Operationoperator: 18
operands: 19
18Literal
19ExprTuple20, 21
20Variable
21Operationoperator: 22
operands: 23
22Literal
23ExprTuple24, 25
24Literal
25Literal