Quantum information processing through nuclear magnetic resonance
J. D. Bulnes,F. A. Bonk,Roberto S. Sarthour,E. R. de Azevedo,Jair C. C. Freitas,Tito José Bonagamba,Ivan S. Oliveira +6 more
TL;DR: In this paper, the authors discuss the applications of NMR to quantum information processing, focusing on the use of quadrupole nuclei for quantum computing, and compare the calculated NMR spectra and their respective density matrices.
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Abstract: We discuss the applications of Nuclear Magnetic Resonance (NMR) to quantum information processing, focusing on the use of quadrupole nuclei for quantum computing. Various examples of experimental implementation of logic gates are given and compared to calculated NMR spectra and their respective density matrices. The technique of Quantum State Tomography for quadrupole nuclei is briefly described, and examples of measured density matrices in a two-qubit I = 3/2 spin system are shown. Experimental results of density matrices representing pseudo-Bell states are given, and an analysis of the entropy of theses states is made. Considering an NMR experiment as a depolarization quantum channel we calculate the entanglement fidelity and discuss the criteria for entanglement in liquid state NMR quantum information. A brief discussion on the perspectives for NMR quantum computing is presented at the end.
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Citations
Compressed Sensing Quantum Process Tomography for Superconducting Quantum Gates
Andrey V. Rodionov,Andrzej Veitia,Rami Barends,Julian Kelly,Daniel Sank,James Wenner,John M. Martinis,Robert L. Kosut,Alexander N. Korotkov +8 more
TL;DR: In this paper, a compressed sensing (CS) method for QPT of two-qubit and three-qubits quantum gates was proposed, where the CS method still works when the amount of data is so small that the standard QPT would have an underdetermined system of equations, and similarly works well for a substantially reduced set of data.
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Quantum state tomography and quantum logical operations in a three qubits nmr quadrupolar system
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TL;DR: In this article, the authors present an implementation of quantum logic gates and algorithms in a three effective qubits system, represented by a (I = 7/2) NMR quadrupolar nuclei.
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Teleportation protocol with non-ideal conditional local operations
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