qrisp.q_div

q_div(numerator, divisor, prec=None)

Performs division up to arbitrary precision and uncomputes the remainder.

Parameters

numeratorQuantumFloat

The QuantumFloat to divide.

divisorQuantumFloat

The QuantumFloat to divide by.

precint, optional

The precision of the division. If the precision is set to \(k\), the approximated quotient \(q_{apr}\) and the true quotient \(q_{true}\) satisfy \(|q_{apr} - q_{true}|<2^{-k}\). By default, a suited precision will be determined from the other inputs.

Returns

quotientQuantumFloat

The result of the division.

Examples

We calculate 10/8:

>>> from qrisp import QuantumFloat, q_div
>>> num = QuantumFloat(4)
>>> div = QuantumFloat(4)
>>> num[:] = 10
>>> div[:] = 8
>>> quotient = q_div(num, div, prec = 2)
>>> print(quotient)
{1.25: 1.0}