Resonant Quantum Search with Monitor Qubits

Frank Wilczek, Frank Wilczek, Frank Wilczek, Frank Wilczek, Frank Wilczek, Hong Ye Hu, Biao Wu, Biao Wu, Biao Wu

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We present an algorithm for the generalized search problem (searching k marked items among N items) based on a continuous Hamiltonian and exploiting resonance. This resonant algorithm has the same time complexity as the Grover algorithm. A natural extension of the algorithm, incorporating auxiliary "monitor"qubits, can determine k precisely, if it is unknown. The time complexity of our counting algorithm is O(√N), similar to the best quantum approximate counting algorithm, or better, given appropriate physical resources.

Original languageEnglish (US)
Article number050304
JournalChinese Physics Letters
Issue number5
StatePublished - May 2020
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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