I’m new on Mina and learning more about zk technology. Days ago i ran into a post where someone says… STARKs are a new type of zero-knowledge proof that are more secure than SNARKs, STARKs rely on fewer cryptographic assumptions, which makes them virtually impossible to crack. Quantum computers can crack SNARKs
While I am not an expert in cryptography, I believe the chart you’ve linked can’t be applied to the current state of SNARKs and STARKs anymore. The overall progress in innovation and science in the space of zero-knwoledge technology has moved rapidly over the last months and years - the main argument for STARKs over SNARKs has been that STARKs don’t require a trusted setup, while SNARKs do - however, there have been developments in this regard that, for example, Minas SNARK Kimchi also doesn’t require a trusted setup anymore (thanks to Bulletproofs commitment scheme). Overall, I believe the lines and differences between SNARKs and STARKs are starting to get more blurry - and the same thing applies for post-quantum security. While most SNARKs aren’t quantum secure yet, there is nothing that inherently forbids SNARKs to utilize some post-quantum-secure algorithm once it is required.
Indeed, this chart is not really up to date. But I doubt that SNARKs can be built to be post-quantum, as usually making something post-quantum means adding a ton of overhead. Also, the post-quantum “threat” is really not something we should worry now. If it ever happens, it’ll take some time between useful quantum computer → useful quantum computer → quantum computer that can actually crack crypto. Also, the whole internet will be broken.