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⚛️ Quantum Algorithms and Post-Quantum Cryptographic Resilience 10 sources These sources explore the transformative and potentially destructive impact of quantum computing on modern cryptographic systems. The first paper details how Shor’s algorithm poses an existential threat to asymmetric encryption like RSA by efficiently factoring large primes, while Grover’s algorithm weakens symmetric encryption and hashes by accelerating brute-force searches. However, the second source introduces a critical practical perspective, arguing that Grover-based attacks are highly sensitive to hardware imperfections. It demonstrates that the reliability requirements for a quantum oracle increase exponentially with key size, potentially making attacks on standards like AES-128 technologically unfeasible. Collectively, the texts suggest that while quantum speedups are theoretically devastating, the actual transition to a post-quantum world must balance mathematical vulnerabilities against the physical limitations of quantum hardware. Together, they highlight a shift in cybersecurity toward quantum-resilient algorithms to ensure long-term data protection.