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Expression of type SubIndexed

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.numbers import Mod, Mult, Round
from proveit.physics.quantum.QPE import SubIndexed, _alpha, _phase, _two_pow_t
In [2]:
# build up the expression from sub-expressions
expr = SubIndexed(_alpha, [Mod(Round(Mult(_two_pow_t, _phase)), _two_pow_t)])
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())
\alpha_{round\left(2^{t} \cdot \varphi\right) ~\textup{mod}~ 2^{t}}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
operation'infix' or 'function' style formattinginfixinfix
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operand: 3
1Literal
2ExprTuple3
3Operationoperator: 4
operands: 5
4Literal
5ExprTuple6, 12
6Operationoperator: 7
operand: 9
7Literal
8ExprTuple9
9Operationoperator: 10
operands: 11
10Literal
11ExprTuple12, 13
12Operationoperator: 14
operands: 15
13Literal
14Literal
15ExprTuple16, 17
16Literal
17Literal