Use DeepSpeed Communication

Nobody has claimed this yet.

## 🚀 Feature

### Motivation

DeepSpeed provides its own communication to improve DeepSpeed speed.

Here is an example: https://github.com/microsoft/Megatron-DeepSpeed/pull/50/files

### Pitch

### Alternatives

### Additional context

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#### If you enjoy Lightning, check out our other projects! ⚡

- [**Metrics**](https://github.com/Lightning-AI/metrics): Machine learning metrics for distributed, scalable PyTorch applications.

- [**Lite**](https://pytorch-lightning.readthedocs.io/en/latest/starter/lightning_lite.html): enables pure PyTorch users to scale their existing code on any kind of device while retaining full control over their own loops and optimization logic.

- [**Flash**](https://github.com/Lightning-AI/lightning-flash): The fastest way to get a Lightning baseline! A collection of tasks for fast prototyping, baselining, fine-tuning, and solving problems with deep learning.

- [**Bolts**](https://github.com/Lightning-AI/lightning-bolts): Pretrained SOTA Deep Learning models, callbacks, and more for research and production with PyTorch Lightning and PyTorch.

- [**Lightning Transformers**](https://github.com/Lightning-AI/lightning-transformers): Flexible interface for high-performance research using SOTA Transformers leveraging Pytorch Lightning, Transformers, and Hydra.

cc @awaelchli @rohitgr7 @akihironitta

No files, tests, or entry points are named in the issue. Start by reviewing the linked Megatron-DeepSpeed example and locating the project's existing distributed communication integration points. Done should mean DeepSpeed communication is supported without breaking existing distributed training behavior, with validation added for the relevant workflows.

Written by the indexing model from the issue text.