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Informatik - Forschung und Entwicklung

Non-computing applications of quantum information in NMR

Steffen J. Glaser, Thomas Schulte‐Herbrüggen, Navin Khaneja

Published Sep 15, 2006• 0 citations
Publisher
DOI
10.1007/s00450-006-0014-9

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In nuclear magnetic resonance (NMR) system, the interaction s between two arbitrary non direct-coupled spins always become very small along w ith the increasing of their distance. So it is very difficult to realize the inf ormation transmission between two non direct-coupled spins. Fortunately, by int roducing the quantum super dense coding (QSDC) and the spin swap operation, this difficulty can be overcome. In this paper, we analyze the scheme of transmitting information between two non direct-coupled spins. We also demonstrate the scheme on NMR simulation qua ntum computer and Bruker ARX-500 NMR quantum computer.
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.
Nuclear magnetic resonance (NMR) provides an experimental setting to explore physical implementations of quantum information processing (QIP). Here we introduce the basic background for understanding applications of NMR to QIP and explain their current successes, limitations and potential. NMR spectroscopy is well known for its wealth of diverse coherent manipulations of spin dynamics. Ideas and instrumentation from liquid state NMR spectroscopy have been used to experiment with QIP. This approach has carried the field to a complexity of about 10 qubits, a small number for quantum computation but large enough for observing and better understanding the complexity of the quantum world. While liquid state NMR is the only present-day technology about to reach this number of qubits, further increases in complexity will require new methods. We sketch one direction leading towards a scalable quantum computer using spin 1/2 particles. The next step of which is a solid state NMR-based QIP capable of reaching 10—30 qubits.