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arXiv · 1206.4747

A quantum algorithm for solving some discrete mathematical problems by probing their energy spectra

Hefeng Wang·Heng Fan·Fuli Li
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Abstract

When a probe qubit is coupled to a quantum register that represents a physical system, the probe qubit will exhibit a dynamical response only when it is resonant with a transition in the system. Using this principle, we propose a quantum algorithm for solving discrete mathematical problems based on the circuit model. Our algorithm has favorable scaling properties in solving some discrete mathematical problems.

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Hefeng Wang, Heng Fan, Fuli Li. 2014-02-18. A quantum algorithm for solving some discrete mathematical problems by probing their energy spectra. https://doi.org/10.1103/physreva.89.012306

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