Quantum Information Theory
Description
Theoretical foundations of quantum information processing, quantum bits, quantum gates, and quantum circuit model of computation.
Learning Objectives
To master the theoretical foundations of quantum information processing including qubit representations, quantum gate operations, quantum circuit design, quantum information measures, and quantum communication protocols. Learners will understand the quantum circuit model of computation, design basic quantum circuits, analyze quantum information capacity, and understand quantum communication advantages over classical systems.
Topics (7)
Comprehensive study of qubits including single qubit states, Bloch sphere geometry, multi-qubit systems, computational basis states, and mathematical representations of quantum information in quantum computing systems.
Comprehensive coverage of quantum circuit design including circuit construction, quantum parallelism, circuit optimization, quantum computational complexity, and comparison with classical circuit models.
Study of quantum information theory including von Neumann entropy, quantum mutual information, quantum channel capacity, entanglement entropy, and information-theoretic bounds on quantum communication and computation.
Detailed study of quantum communication including quantum teleportation protocol, superdense coding, quantum state distribution, quantum channel coding, and quantum communication complexity.
Study of fundamental limitations in quantum information including no-cloning theorem, no-deleting theorem, uncertainty relations, information-disturbance tradeoffs, and their implications for quantum computing and communication.
Detailed study of quantum gates including single-qubit gates (X, Y, Z, H, phase gates), two-qubit gates (CNOT, CZ, SWAP), multi-qubit gates, universal gate sets, and quantum gate decomposition techniques.
Comprehensive coverage of quantum cryptography including BB84 and E91 protocols, quantum key distribution, eavesdropping detection, quantum random number generation, and post-quantum cryptography considerations.