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Demonstrating quantum algorithm acceleration with NMR quantum computer

Mikio Nakahara·Yasushi Kondo·Kazuya Hata·Shogo Tanimura
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Abstract

In general, a quantum circuit is constructed with elementary gates, such as one-qubit gates and CNOT gates. It is possible, however, to speed up the execution time of a given circuit by merging those elementary gates together into larger modules, such that the desired unitary matrix expressing the algorithm is directly implemented. We demonstrate this by taking the two-qubit Grover's algorithm implemented in NMR quantum computation, whose pseudopure state is generated by cyclic permutations of the state populations. This is the first exact time-optimal solution, to our knowledge, obtained for a self-contained quantum algorithm.

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Mikio Nakahara, Yasushi Kondo, Kazuya Hata, Shogo Tanimura. 2004-06-30. Demonstrating quantum algorithm acceleration with NMR quantum computer. https://doi.org/10.1103/physreva.70.052319

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