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Quantum Computing & Post-Quantum Cryptography

A comprehensive course on quantum computing and its impact on cryptography. You will study quantum mechanics foundations for computing (superposition, entanglement, measurement), quantum circuits and gates (Pauli, Hadamard, CNOT, Toffoli), key quantum algorithms (Shor — factorization, Grover — search, Quantum Fourier Transform, Phase Estimation). Post-quantum cryptography: NIST PQC Standardization (CRYSTALS-Kyber, CRYSTALS-Dilithium, FALCON, SPHINCS+), lattice-based cryptography (LWE, Ring-LWE, NTRU), code-based cryptography (McEliece, BIKE, HQC), hash-based signatures (XMSS, LMS), multivariate cryptography. Practical migration: crypto agility, hybrid schemes (PQ/TLS 1.3), cryptographic asset inventory. Quantum programming: Qiskit, Cirq, Q#. Quantum platforms: IBM Quantum, Google Sycamore, IonQ, Rigetti.

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