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Expression of type NumKet

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 Literal
from proveit.numbers import Exp, Mod, Mult, Round, two
from proveit.physics.quantum import NumKet
In [2]:
# build up the expression from sub-expressions
sub_expr1 = Exp(two, Literal("t", theory = "proveit.physics.quantum.QPE"))
expr = NumKet(Mod(Round(Mult(sub_expr1, Literal("phase", latex_format = r"\varphi", theory = "proveit.physics.quantum.QPE"))), sub_expr1), Literal("t", theory = "proveit.physics.quantum.QPE"))
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())
\lvert round\left(2^{t} \cdot \varphi\right) ~\textup{mod}~ 2^{t} \rangle_{t}
In [5]:
stored_expr.style_options()
namedescriptiondefaultcurrent valuerelated methods
wrap_positionsposition(s) at which wrapping is to occur; '2 n - 1' is after the nth operand, '2 n' is after the nth operation.()()('with_wrapping_at', 'with_wrap_before_operator', 'with_wrap_after_operator', 'without_wrapping', 'wrap_positions')
justificationif any wrap positions are set, justify to the 'left', 'center', or 'right'centercenter('with_justification',)
In [6]:
# display the expression information
stored_expr.expr_info()
 core typesub-expressionsexpression
0Operationoperator: 1
operands: 2
1Literal
2ExprTuple3, 17
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