Superoperators for NMR Quantum information processing

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$Measurement of refractive index using a Michelson interferometer$

Matrix representation of <strong>Superoperators</strong> ‣ <strong>Superoperators</strong> belong to the superoperator space. ‣ The difference between the Superoperator space and Hilbert space is dimensionality. ‣ Different physical conditions. ‣ Matrix representation
Table Name Continuous representation Continuous scalar product Discrete representation Discrete scalar product Superoperator Space superoperators n²×n² matrices Liouville space operators, Density matrices n×n matrices Hilbert space wavefunctions n ‐vectors
Page 1 and 2: Superoperators for NMR Quantum Info
Page 3 and 4: NMR • NMR is a phenomenon in whic
Page 5 and 6: Net magnetic moment from small z ex
Page 7 and 8: Most commonly studied nuclei
Page 9 and 10: Interactions in NMR Internal Intera
Page 11: Spin Echo
Page 14 and 15: Spherical tensor operators. • Ten
Page 16 and 17: Total Hamiltonian in terms of Spher
Page 20 and 21: Long lived Singlet states in soluti
Page 22 and 23: Equation of Motion Liouvillian Spac
Page 24 and 25: Relaxation of singlet-state populat
Page 26 and 27: Final matrix of the evolution of sp
Page 30 and 31: Advantages and applications of long
Page 32 and 33: Why NMR? A major requirement of a q
Page 34: THANKS FOR YOUR PATIENCE

Superoperators for NMR Quantum information processing

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