Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing

By E. Fortunato, M. Pravia, N. Boulant, G. Teklemariam, Timothy F. Havel, D. Cory. 2002

209 citations recorded by the source corpus.

We describe a method for improving coherent control through the use of detailed knowledge of the system’s Hamiltonian. Precise unitary transformations were obtained by strongly modulating the system’s dynamics to average out unwanted evolution. With the aid of numerical search methods, pulsed irradiation schemes are obtained that perform accurate, arbitrary, selective gates on multiqubit systems. Compared to low power selective pulses, which cannot average out all unwanted evolution, these pulses are substantially shorter in time, thereby reducing the effects of relaxation. Liquid-state nuclear magnetic resonance techniques on homonuclear spin systems are used to demonstrate the accuracy of these gates both in simulation and experiment. Simulations of the coherent evolution of a three-qubit system show that the control sequences faithfully implement the unitary operations, typically yielding gate fidelities on the order of 0.999 and, for some sequences, up to 0.9997. The experimentally determined density ...

Subfields: Atomic and Molecular Physics, and Optics, Spectroscopy

View Paper: https://www.semanticscholar.org/paper/c5c6f9bb4b20088702e75373a410428993660627

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In Atomic and Molecular Physics, and Optics

In Spectroscopy

Citations in the corpus

NMR techniques for quantum control and computation (2004, methodology): “Other metrics for comparing two states have been used to quantify the relative error between theoretical and experimental states, such as the simple two-norm (81) and other expressions (83).”