17 Jan: Introduction. Quantization. Superposition: Young's double slit experiment. 19 Jan: Qubits, ket notation, Axioms: Superposition, measurement. Bit and sign bases - uncertainty for qubits. 24 Jan: 2 qubits: Entanglement. 26 Jan: 2 qubit entanglement, EPR paradox, Bell's experiment. 31 Jan: Unitary evolution, 1 and 2 qubit gates, quantum teleportation. 2 Feb: n qubits, tensor products, universal gate sets, principle of deferred measurement, what is a measurement? 7 Feb: Observables, Expectation value, Hamiltonian, Schrodinger's equation. 9 Feb: Why energy? Uncertainty principle. 14 Feb: Midterm I 16 Feb: Continuous quantum states. Particle in 1D. Schrodinger's equation. 21 Feb: Particle in a box. implementing qubits. 23 Feb Hadamard transform, reversible computation, fourier sampling. ECT. 28 Feb: Quantum fourier transform 1 Mar: Quantum factoring 6 Mar: NP-completeness and Quantum search 8 Mar: Quantum search 13 Mar: Quantum cryptography 15 Mar: Particle in a box 20 Mar Bloch sphere + spin 22 Mar: Midterm II 3 Apr: Stern Gerlach 5 Apr: Spin precession 10 Apr: Spin resonance, NMR computer 12 Apr: Other implementations, photons, Fock states 17 Apr: Experiments - Prof. Haeffner 19 Apr: Experiments - Prof. Haeffner 24 Apr: Quantum error correction 26 Apr: Quantum walks + Dirac eqn. 1 May: Project Presentations 3 May: Project Presentations