Title: Spin coupling damp decay of force cantilever microscopy design based on Grover's algorithm magnetic resonance quantum computing

Authors: R. Ren; Weiren Wang; Xuan Li; Zhongxia Zhao; Lin Liu; Song Chen

Addresses: Department of Optics, Xi'an Jiao Tong University, Xi'an, 710054, China ' Department of Optics, Xi'an Jiao Tong University, Xi'an, 710054, China ' Department of Optics, Xi'an Jiao Tong University, Xi'an, 710054, China ' Department of Optics, Xi'an Jiao Tong University, Xi'an, 710054, China ' Department of Optics, Xi'an Jiao Tong University, Xi'an, 710054, China ' Department of Optics, Xi'an Jiao Tong University, Xi'an, 710054, China

Abstract: We displayed the nuclear spin coupling and dipole polarisation in magnetic resonance microscopy based on quantum calculation. When radio frequency (rf) probing operated nuclear spins on the nanometer localisation, Grover's quantum algorithm can be realised by polarisation enhanced states using pulse sequence and width according to the interaction between RF and spins. We theoretically proposed two-qubits quantum system of density matrix to achieve quantum Grover's algorithm in spin damp and frequency shift based on magnetic resonance microscopy. The nuclear spins were operated by pulse time sequences of cyclic adiabatic inversion, and controlled the quantum spin magnetic moment state to achieve the superposition. The resonance spins excited by radio frequency coil and magnetic tip were measured by the nuclear magnetic moment, spectrum and density matrix. The results indicated that the density matrix was used to read out quantum spectrum image. Grover's algorithm can perform search faster than their classical counterparts. The force microscopy properties of spin damp decay holds great promise of magnetic resonance in quantum computing, quantum communication. Theoretically the algorithm is accelerated but not 100% in a rate of success.

Keywords: force cantilever microscopy; nuclear spin coupling; dipole polarisation; quantum qubit; damp decay; magnetic resonance; quantum computing; nanotechnology.

DOI: 10.1504/IJNM.2014.059010

International Journal of Nanomanufacturing, 2014 Vol.10 No.1/2, pp.160 - 174

Received: 13 Jan 2013
Accepted: 25 May 2013
Published online: 17 May 2014 *

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