SHA-256
Bitcoin as a SHA-256 Rainbow Tables?
There's a speculative theory I've entertained myself at times that goes "What if Bitcoin is an experiment to develop capabilities for breaking the SHA-256 algorithm, and that the blockchain technically represents a collection of hashes akin to a set of Rainbow Tables?"
Unless some breakthrough is possible, it's generally accepted that the SHA-256 hashes which comprise the Bitcoin blockchain aren't enough information to create a usable Rainbow Tables style solution.
Bitcoin as a SHA-256 canary?
What if Bitcoin represents a canary that warns certain entities upon detection of a SHA-256 collision. Perhaps knowing ahead of time when something as critical as SHA-256 gets burned is worth the accidental creation of an entire one-trillion-dollar plus market cap finanaical system?
What about quantum computers?
The consensus is that SHA-256 is currently considered resistant to attacks by quantum computers in the near to medium term. Ongoing research efforts continue to assess its long-term security in a post-quantum world.
The primary quantum algorithm that poses a threat to cryptographic hash functions like SHA-256 is Grover's algorithm. Grover's algorithm provides a quadratic speedup for searching an unsorted database, useful in the application of finding hash collisions or preimages, but it requires a large, fault-tolerant quantum computer that doesn't yet exist.
SHA-256 is secure against quantum attacks for the foreseeable future, but research in quantum computing and cryptography is rapidly evolving.