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arXiv · 1503.06624

Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator

Shruti Dogra·Arvind·Kavita Dorai
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Abstract

The quantum Fourier transform (QFT) is a key ingredient of several quantum algorithms and a qudit-specific implementation of the QFT is hence an important step toward the realization of qudit-based quantum computers. This work develops a circuit decomposition of the QFT for hybrid qudits based on generalized Hadamard and generalized controlled-phase gates, which can be implemented using selective rotations in NMR. We experimentally implement the hybrid qudit QFT on an NMR quantum emulator, which uses four qubits to emulate a single qutrit coupled to two qubits.

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Shruti Dogra, Arvind, Kavita Dorai. 2015-03-23. Implementation of the quantum Fourier transform on a hybrid qubit-qutrit NMR quantum emulator. https://arxiv.org/abs/1503.06624

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