Can Layer 2 Solutions Be Implemented on a Sharded Layer 1 Chain?

Yes, Layer 2 solutions are designed to be complementary to Layer 1 scaling methods like sharding. A Layer 2 rollup can be deployed on a single shard of a sharded Layer 1 chain.

This combination, often called "Layer 2 on Layer 1 Shards," provides a massive boost to overall throughput. The Layer 2 handles the execution, and the sharded Layer 1 provides highly scalable data availability for the rollup's transaction data.