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arXiv · 1406.5026

Determining the parity of a permutation using an experimental NMR qutrit

Shruti Dogra·Arvind·Kavita Dorai
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Abstract

We present the NMR implementation of a recently proposed quantum algorithm to find the parity of a permutation. In the usual qubit model of quantum computation, speedup requires the presence of entanglement and thus cannot be achieved by a single qubit. On the other hand, a qutrit is qualitatively more quantum than a qubit because of the existence of quantum contextuality and a single qutrit can be used for computing. We use the deuterium nucleus oriented in a liquid crystal as the experimental qutrit. This is the first experimental exploitation of a single qutrit to carry out a computational task.

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Shruti Dogra, Arvind, Kavita Dorai. 2014-06-19. Determining the parity of a permutation using an experimental NMR qutrit. https://doi.org/10.1016/j.physleta.2014.10.003

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