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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
from proveit.numbers import Complex, Exp, Mult, e, i, one, pi, subtract, two
from proveit.physics.quantum.QPE import _delta_b_round, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(subtract(one, Exp(e, Mult(two, pi, i, _delta_b_round, _two_pow_t))), Complex)
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(1 - \mathsf{e}^{2 \cdot \pi \cdot \mathsf{i} \cdot \delta_{b_{\textit{r}}} \cdot 2^{t}}, \mathbb{C}\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
2Literal
3Literal
4ExprTuple5, 6
5Literal
6Operationoperator: 7
operand: 9
7Literal
8ExprTuple9
9Operationoperator: 21
operands: 10
10ExprTuple11, 12
11Literal
12Operationoperator: 13
operands: 14
13Literal
14ExprTuple24, 15, 16, 17, 18
15Literal
16Literal
17Operationoperator: 19
operand: 23
18Operationoperator: 21
operands: 22
19Literal
20ExprTuple23
21Literal
22ExprTuple24, 25
23Literal
24Literal
25Literal