University at Buffalo 3 credits Electrical Engineering
This course introduces concepts and applications of quantum computing and covers basic quantum mechanics focused on two-level systems (qubit), basic principles and examples of quantum gates and some concrete examples of physical realization of quantum computers. The specific topics covered include quantum postulates, states, ensembles, density matrix, pure and mixed states, qubits, Pauli matrix, Bloch sphere, single-qubit states, rotation matrix in R3, Schmidt decomposition and state purification, orthogonal measurement, generalized measurement (POVM), unitary evolution operator, Krauss evolution operator, entanglement, EPR states, Bell inequality, dense coding, quantum teleportation, no cloning, EPR quantum key distribution, single-qubit quantum gates (Hadamard), reversible gates (Fredkin, Toffoli, Feynman), quantum Fourier transform (Shor¿s algorithm), quantum search (Grover¿s algorithm), physical realization examples including superconducting circuit QED, single electron spin qubit in quantum dot and selected device topics of recent development.
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