Determining the parity of a permutation using an experimental NMR qutrit |
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Authors: | Shruti Dogra ArvindKavita Dorai |
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Institution: | Department of Physical Sciences, Indian Institute of Science Education & Research (IISER) Mohali, Sector 81 SAS Nagar, Manauli PO, 140306 Punjab, India |
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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, it is widely believed that computational 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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Keywords: | NMR quantum computing Qudits Qutrit computing Parity checking algorithm Quantum contextuality Computational speedup without entanglement |
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