Theoretical Analysis of Multiple Quantum NMR Dynamics in One-Dimensional Inhomogeneous Spin Systems ( $s=1/2$ )Theoretical Analysis of Multiple Quantum NMR Dynamics in One-Dimensional Inhomogeneous Spin Systems ($$s=1/2$$)

G. A. Bochkin, Edward B. Fel’dman, Sergey G. Vasil’ev

Applied Magnetic ResonanceMay 24, 20223 citations

Investigations of multiple quantum NMR dynamics of spin dimer on quantum computer

Anna Belova, А. В. Федорова, E. I. Kuznetsova

We propose the algorithm for the quantum computer on the IBM Q platform. By this algorithm one can obtain the multiple-quantum NMR dynamics of the dimer with spins 1/2. Our algorithm includes preparation of thermodynamic equilibrium state as initial conditions for dimer and circuit for evolution under the Hamiltonian of multiple-quantum NMR experiment. Multiple-quantum coherences arise in multiple-quantum NMR experiment. Ones are connected with solid body structure and get a lot of research consequently. Intensities of these coherences are measured at end of experiment. In our algorithm the intensities of multiple-quantum coherences are evaluated by tomography of diagonal elements of final density matrix for dimer.We propose the algorithm for the quantum computer on the IBM Q platform. By this algorithm one can obtain the multiple-quantum NMR dynamics of the dimer with spins 1/2. Our algorithm includes preparation of thermodynamic equilibrium state as initial conditions for dimer and circuit for evolution under the Hamiltonian of multiple-quantum NMR experiment. Multiple-quantum coherences arise in multiple-quantum NMR experiment. Ones are connected with solid body structure and get a lot of research consequently. Intensities of these coherences are measured at end of experiment. In our algorithm the intensities of multiple-quantum coherences are evaluated by tomography of diagonal elements of final density matrix for dimer.

International Conference on Micro- and Nano-Electronics (ICMNE)Jan 31, 20220 citations

Theoretical Analysis of Multiple Quantum NMR Dynamics in One-Dimensional Inhomogeneous Spin Systems (

s=1/2

)