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Hadamard Products of Product Operators and the Design of Gradient-Diffusion Experiments for Simulating Decoherence by NMR Spectroscopy
Timothy F. Havel, Yehuda Sharf, Lorenza Viola +1
An extension of the product operator formalism of NMR is introduced, which uses the Hadamard matrix product to describe many simple spin 1/2 relaxation processes. The utility of th…
Quantum Codes for Controlling Coherent Evolution
Yehuda Sharf, Timothy F. Havel, David G. Cory
Control over spin dynamics has been obtained in NMR via coherent averaging, which is implemented through a sequence of RF pulses, and via quantum codes which can protect against in…
Spatially Encoded Pseudo-Pure States for NMR Quantum Information Processing
Yehuda Sharf, Timothy F. Havel, David G. Cory
Quantum information processing by liquid-state NMR spectroscopy uses pseudo-pure states to mimic the evolution and observations on true pure states. A new method of preparing pseud…
NMR Based Quantum Information Processing: Achievements and Prospects
D. G. Cory, R. Laflamme, E. Knill +13
Nuclear magnetic resonance (NMR) provides an experimental setting to explore physical implementations of quantum information processing (QIP). Here we introduce the basic backgroun…
A Study of Quantum Error Correction by Geometric Algebra and Liquid-State NMR Spectroscopy
Yehuda Sharf, David G. Cory, Shyamal S. Somaroo +3
Quantum error correcting codes enable the information contained in a quantum state to be protected from decoherence due to external perturbations. Applied to NMR, quantum coding do…