Modification and realization of Brüschweiler’s search

Xiaodong Yang, Daxiu Wei, J. L. Luo, Xijia Miao · Physical Review A · 2002

The Br\"uschweiler quantum search [Phys. Rev. Lett. 85, 4815 (2000)] offers an exponential speedup over the corresponding classical search. In the Br\"uschweiler search, the data bits and measurement bit (the ancillary bit) are different bits. We propose a modified method, in which no ancillary bit is needed to reach exponential speedup. The modified Br\"uschweiler search can be easier to design and realize. We also demonstrate the modified search in a three-qubit molecular system using nuclear magnetic resonance.

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