As quantum computing is expected to break some cryptography in the near future, everyone will have to add quantum resistance. Signatures with quantum resistance will basically have signature sizes that are 10 to 50 times larger, and verification will also take longer.
Those currently scaling L1 with storage size at its limit probably won't be able to withstand this change, but Ethereum, Bitcoin, and Mina should be able to handle it. After all, decentralization itself is the first step towards quantum resistance.
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