(1)
Introduction to quantum information processing.
(2)
The experimental challenges of the field.
(3)
Nuclear magnetic resonance & ensemble quantum computing.
(4)
Geometric algebra and NMR spectroscopy.
(5)
The classical Bloch equation of motion.
(6)
The product operator formalism of NMR.
(7)
Basic liquid-state NMR: the density operator of liquids.
(8)
Basic of liquid-state NMR: the weak-coupling Hamiltonian.
(9)
The concepts of in-phase and anti-phase coherence.
(10)
Spectra and vector diagram descriptions.
(11)
The equilibrium density matrix in liquids.
(12)
Pseudo-pure state preparation and properties.
(13)
Quantum logic: Reversible computation.
(14)
Quantum logic: The one bit logic gates.
(15)
Quantum logic: multi-bit logic gates.
(16)
NMR implementation of gates: pulse sequences.
(17)
NMR implementation of gates: vector diagrams.
(18)
Time suspension and the compilation problem.
(19)
Correcting for decoherence (aka T2 relaxation).
(20)
A three-bit quantum error correcting code.
(21)
Density operator description of encoding.
(22)
Density operator description of decoherence.
(23)
Density operator description of decoding.
(24)
The result of error correction for arbitrary covariance.
(25)
Experimental decoherence via magnetic field gradients.
(26)
Creating a pseudo-pure state via gradients.
(27)
The experimental results of 13C-alanine.
(28)
Concluding remarks: foundational and scaling issues.
(29)
Concluding remarks: analogue quantum computations.