 
    What you see here are the quantum vulnerabilities lurking in blockchains. 
    These are systemically fatal, and since “post-quantum cryptography is ineffective,” 
    the entire structure must be replaced with a different algorithm. 
    Prioritizing clarity: we’ve used illustrations only. (Mathematical formulas have retired!)
    Why is post-quantum cryptography ineffective against the blockchain quantum vulnerabilities listed here?
    -- It's simple: because Shor's algorithm isn’t used --
    * Post-quantum cryptography was originally designed to protect against reverse-direction attacks using Shor's algorithm, such as factoring or discrete logarithms. 
    If Shor isn’t involved, then PQC is irrelevant.
 
    [Blockchain Quantum Vulnerability #1] 
    PoW Quantum Mining - Network monopoly using a few quantum annealers - 100% attack
 
 
    [Blockchain Quantum Vulnerability #2] 
    PoW Quantum Mining - Network monopoly using a single quantum gate machine - 100% attack
 
 
    [Blockchain Quantum Vulnerability #3] 
    Quantum Secret Key Search - Catching a valid private key using a few quantum annealers
 
    [Blockchain Quantum Vulnerability #4] 
    Quantum Secret Key Search - Catching a valid private key using a single quantum gate machine
