Abstract
We show that the Hong-Ou-Mandel effect from quantum optics is equivalent to the swap test, a quantum information primitive which compares two arbitrary states. We first derive a destructive swap test that does not need the ancillary qubit that appears in the usual quantum circuit. Then we study the Hong-Ou-Mandel effect for two photons meeting at a beam splitter and prove it is, in fact, an optical implementation of the destructive swap test. This result offers both an interesting simple realization of a powerful quantum information primitive and an alternative way to understand and analyze the Hong-Ou-Mandel effect.
- Received 27 March 2013
DOI:https://doi.org/10.1103/PhysRevA.87.052330
©2013 American Physical Society