Geometric Algebra Methods in Ensemble Quantum
Computing by NMR Spectroscopy

(1) Credits
(2) Hilbert Space or the Bloch Sphere?
(3) Spin Operators or Unit Vectors?
(4) Quaternions and other Imaginary Things
(5) Reflections and Rotations
(6) Spinor Representations
(7) Density Operator Interpretation
(8) The Dirac Algebra of Space-Time
(9) Relation to the Pauli Algebra of Space
(10) The Multiparticle Space-Time Algebra
(11) The Correlator
(12) Multiparticle Pauli Spinors
(13) Details for the Two-Spin Case
(14) Particle Exchange and the Singlet State
(15) Multispin Density Operators
(16) Pseudo-Pure States
(17) Quantum Information Processing in Ensembles

For more information on quantum information processing by NMR spectroscopy,
HERE is a link to the QIP-by-NMR project.