In the NISQ era, quantum devices are powerful yet error-prone. Early Fault-Tolerant Quantum Computing (EFTQC) enhances reliability with basic error correction, enabling breakthroughs in pharmaceuticals, finance, and cryptography.

Shor's algorithm, now 30 years old, promises exponential speedup for factoring large integers, challenging cryptographic protocols. Scalable implementations remain elusive, with the Compiled Shor's Algorithm simplifying quantum factoring using prior knowledge.