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This tag refers to public-key algorithms based on problems that quantum computers can't solve efficiently. Existing algorithms such as RSA, Diffie-Hellman, and ECDSA are known to be breakable using Shor's algorithm on quantum computers. Symmetric-key algorithms generally don't fall under this category.

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Why are public keys derived from elliptic curve cryptography (ECC) and not from hashing?

I've just started studying Bitcoin and cryptocurrencies, so I might be wrong, but so far my understanding is that public keys are derived from private keys using ECDSA, in Bitcoin's case using secp256 …
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