3/n Consolidate collective functions - Integrate with TTPs

Author: four4fish

CHANGELOG.md

@@ -180,6 +180,9 @@ The format is based on [Keep a Changelog](http://keepachangelog.com/en/1.0.0/).
 - Executing the `optimizer_closure` is now required when overriding the `optimizer_step` hook ([#9360](https://github.com/PyTorchLightning/pytorch-lightning/pull/9360))
 
 
+- Integrate `collective` class with `TrainingTypePlugin` ([#9472](https://github.com/PyTorchLightning/pytorch-lightning/pull/9472))
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 ### Deprecated
 
 - Deprecated `LightningModule.summarize()` in favor of `pytorch_lightning.utilities.model_summary.summarize()`