Providerv1 deprication patch

[LowkeyCoding]

Summary

Qiskit's ProviderV1 and Provider abstract classes are deprecated and will be removed after the release of v2.0. This change requires the removal of the abstract class from the BraketProvider and the re-implementation of get_backend(self, name=None, **kwargs).

Details and comments

The change described in the summary has been implemented, and additionally, comments for the self.backends() and self.get_backend() methods have been added.

[CLAassistant]

All committers have signed the CLA.

[yitchen-tim]

Hi @LowkeyCoding thanks for the PR. The PR looks good. Could you merge the latest commit from main which will fix the checks.

[LowkeyCoding]

It seems like the behavior of get_backend() is not filtering in the test environment (most likely due to self.mock_session.search_devices.return_value and self.mock_session.get_device.side_effect). I have fixed it by creating a mock session with no simulators to catch the case where no backends are found and an exception is raised.

[yitchen-tim]

Thanks for the PR @LowkeyCoding !