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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, m, n
from proveit.numbers import Exp, ModAbs, Neg, frac, one, subtract, two
from proveit.physics.quantum.QPE import phase, two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = ExprTuple(ModAbs(subtract(frac(m, two_pow_t), phase), one), Exp(two, Neg(n)))
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(\left|\frac{m}{2^{t}} - \varphi\right|_{\textup{mod}\thinspace 1}, 2^{-n}\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: 22
operands: 5
3Literal
4ExprTuple6, 7
5ExprTuple24, 8
6Operationoperator: 9
operands: 10
7Literal
8Operationoperator: 17
operand: 14
9Literal
10ExprTuple12, 13
11ExprTuple14
12Operationoperator: 15
operands: 16
13Operationoperator: 17
operand: 21
14Variable
15Literal
16ExprTuple19, 20
17Literal
18ExprTuple21
19Variable
20Operationoperator: 22
operands: 23
21Variable
22Literal
23ExprTuple24, 25
24Literal
25Variable