Researchers develop exact, certified algorithms to compute quantum speedup exponents in key guessing attacks, revealing super-quadratic quantum advantages up to 3.97× in realistic cryptanalytic scenarios with product-distributed advice.

#QuantumCryptanalysis #QuantumAlgorithms #Research

Framework combining classical cryptanalytic filtering with quantum amplitude amplification achieves 99.7% candidate-space reduction and 25× lower quantum verification effort for symmetric-key cryptanalysis through capability-adaptive processing.

#QuantumCryptanalysis #GroverSearch #Research

Formalized Shor's algorithm in Lean using AI-assisted theorem proving to analyze quantum attacks on RSA-2048 and P-256, with machine-verified logical resource estimates and success probabilities.

#QuantumCryptanalysis #FormalVerification #Research

Establishes principled benchmarking framework for variational quantum cryptanalysis, demonstrating systematically designed attacks can outperform naive quantum search under NISQ hardware constraints through optimized module combinations.

#QuantumCryptanalysis #VariationalAlgorithms #NISQ

Schrottenloher presents detailed quantum logical circuits for computing elliptic curve discrete logarithms via Shor's algorithm, achieving competitive qubit and gate counts with reproducible implementations and explicit optimization trade-offs.

#QuantumCryptanalysis #QuantumAlgorithms #Research

Novel quantum algorithm achieves quadratic speedup in lattice Gaussian sampling complexity using quantum rejection sampling, reducing attack costs on Learning with Errors-based post-quantum cryptography including Kyber and FALCON.

#QuantumCryptanalysis #PostQuantumCryptography #Research

Hybrid quantum-classical SAT solver integrates Grover's algorithm into conflict-driven clause learning for AES cryptanalysis, achieving up to 86% conflict reduction on benchmark instances with minimal quantum resource requirements.

#QuantumCryptanalysis #HybridQuantum #Research

Quantum algorithm breaks ML-KEM, Falcon, Hawk, and NTRU with approximation factor γ≤21 (ML-KEM-1024), below security threshold q/2=1665. Achieves polynomial O(n³log²n) complexity via cyclotomic tower PIP, resolving two open questions.

#QuantumCryptanalysis #PostQuantumCryptography #LatticeAttack